Explore topic-wise MCQs in Arithmetic.

This section includes 85 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the rate of interest. I. A sum of money becomes double of itself at simple interest in 12.5 years. II. 5000 becomes 5832 in 2 years at compound interest.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
2.

Find the height of the cylinder. I. The Curved surface area of the cylinder is 396 cm2 and the total surface area of the cylinder is 1628 cm2. II. The radius of the cylinder is 0.5 cm more than the 3 times of the height of the cylinder.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Discussion
3.

What is the length of the train X? I. Two trains X and Y running in opposite directions and cross each other in 25 seconds. II. The length of the train Y is 320m and the difference between the speeds of trains X and Y is 14 km/h. III. The ratio of the speed of the trains is 19 : 26.

A. The data in statements I and statements II are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question,while the data in statement II alone is not sufficient to answer the question.
D. The data in all the statements I, II and III is not sufficient to answer the question.
E. The data in all the statements I, II and III together is necessary to answer the question.
Answer» F.
Discussion
4.

What is the present age of Sanjeev? I. Sanjeev is 4 years older than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5. II. Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years. III. The present age of Sanjeev is 5 years less than the age of Mohan.

A. The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.
C. The data in statements I alone or in statement II alone or Statement III alone is sufficient to answer the question.
D. The data in all the statements I, II and III are not sufficient to answer the question.
E. The data in all the statements I, II and III together are necessary to answer the question.
Answer» B. The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.
Discussion
5.

What is the marked price of the shirt? I. A shopkeeper purchases 2 same shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount. II. A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Discussion
6.

Find the value of x. I. 2xyz + 6y– 8z + 5 = 0, z = 1 II. y = 225– 116 III. 4xyz– 6z + 8y– 7 = 0, z = 3

A. The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.
C. The data in any two of the three statements is sufficient to answer the question.
D. The data in all the statements I, II and III is not sufficient to answer the question.
E. The data in all the statements I, II and III together is necessary to answer the question.
Answer» D. The data in all the statements I, II and III is not sufficient to answer the question.
Discussion
7.

In a family there are 5 members, Nidhi, Vidhi, Nitya, Ajay and Anil. Find the present age of Anil. I. The average age of five family members is 36 years. II. The total age of Nidhi, Vidhi and Anil is 75 years. III. The present age of Anil is 12 years more than the age of Ajay.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II and II is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.
C. The data in statements I and II together or in statement III alone is sufficient to answer the question.
D. The data in all the statements I, II and III is not sufficient to answer the question.
E. The data in all the statements I, II and III together is necessary to answer the question.
Answer» E. The data in all the statements I, II and III together is necessary to answer the question.
Discussion
8.

Find the rate of simple interest per annum. I. Meetu borrowed Rs 9000 from Sneha for two years on simple interest. II. Meetu returned Rs 11700 to Sneha at the end of two years and settled the loan. III. A sum of money becomes double in 20/3 years on simple interest.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II and II is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.
C. The data in statements I and II together or in statement III alone is sufficient to answer the question.
D. The data in all the statements I, II and III is not sufficient to answer the question.
E. The data in all the statements I, II and III together is necessary to answer the question.
Answer» D. The data in all the statements I, II and III is not sufficient to answer the question.
Discussion
9.

What is the ratio of the volume of the cube to the volume of the cuboid? I. The Total Surface Area of the cuboid is 352 cm2 and the ratio of the length, breadth and height of the cuboid is 3 : 2 : 1. II. The Total Surface Area of the cube is 726 cm2. III. The length of the cuboid is 1.5 times of the breadth of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 8cm.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II aand III is not sufficient to answer the question.
B. The data in statements II aand III is sufficient to answer the question, while the data in statement I is not sufficient to answer the question.
C. The data in statements I and II or in statement II and III is sufficient to answer the question.
D. The data in all the statements I, II and III is not sufficient to answer the question.
E. The data in all the statements I, II and III together is necessary to answer the question.
Answer» D. The data in all the statements I, II and III is not sufficient to answer the question.
Discussion
10.

What is the present age of Rahul? I. At the time of marrige Rahul's age was 25 years. II. The average age of Rahul and Rahul's wife at the time of marrige was 24 years. III. The difference between the present ages of Rahul and his son is 24 years.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone or in statement III alone is sufficient to answer the question.
D. The data in all the statements I, II and III is not sufficient to answer the question.
E. The data in all the statements I, II and III together is necessary to answer the question.
Answer» E. The data in all the statements I, II and III together is necessary to answer the question.
Discussion
11.

What is the curved surface area of cylinder? I. The base area of the cylinder is half of the area of the region enclosed by 4 circles of equal radius of 14 cm, touching one another. II. The volume of the cone that can be fit into the cylinder is 88 cubic units.

A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statement I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question
Answer» F.
Discussion
12.

Is the sum of the costs of a Laptop and a Modem more than the sum of the costs of a Mobile and a Headphone? I. 30% of the cost of the Laptop and 20% of the cost of the Modem is more than 40% of a cost of the Mobile and 60% of the cost of Headphone. II. 20% of the cost of the Laptop and 30% of the cost of the Modem is less than 10% of the cost of the Mobile and 15% of the cost of the Headphone.

A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statement I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
13.

The compound interest on a sum of Rs. 4000 is Rs. 1324. Find the rate of interest. I. The simple interest on the same sum at the same rate is Rs. 1200. II. Compound interest is compounded every four months. III. The sum doubles itself in 25 years at the rate of 4% per annum.

A. Only II and III
B. Only I and III
C. All the three statements I, II and III
D. Only II and III
E. None of the above
Answer» F.
Discussion
14.

What is the capacity of the cylindrical tank? I. Radius of the base is half of its height. II. Area of the base is 462 sq m. III. Height of the cylinder is 14 m.

A. I and II
B. II and III
C. I and III
D. All I, II and III
E. Any two of the three
Answer» F.
Discussion
15.

The following information is given about a four sided polygon. I. The polygon is a rectangle II. The area of the polygon is given to be 100 m2. III. One side of the polygon is 8 m. IV. All the adjacent sides are at right angle to each other. Which of the above facts are sufficient to determine the dimensions of the polygon?

A. Only II and III
B. II, III and IV
C. I, III and IV
D. I and II
E. Any two of the three statements are sufficient
Answer» C. I, III and IV
Discussion
16.

Is Lionel Messi older than Luka Modric, if both of them are at least 1 year old? Statement I: Four times Lionel Messi’s age is 4 years less than thrice Luka Modric’s age. Statement II: Five times Lionel Messi’s age is one more than four times Luka Modric’s age.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
17.

During a three-years period, viz. 2010, 2011 and 2012. The profits of Bharti Airtel changed by what percent from the 2011 to 2012? Statement I: The increase in profits of Bharti Airtel from the year 2010 to the year 2011 was the same as the increase from the year 2010 to the year 2012. Statement II: For Bharti Airtel the profits for the year 2010 were Rs. 13000 crore and the profits for the year 2012 were Rs. 14000 crore.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Discussion
18.

Ganpat is a oil trader, he mixes two varieties of oil in the ratio of 1 : 4. By selling the mixture at 14.40 per kg he gets a profit of more than 20%. Is the cost of the dearer variety, which is mixed, more than 20 per kg? Statement I: The cost of the cheaper variety of oil mixed is 10 per kg. Statement II: For every 1 kg of the cheaper variety of oil he mixed 4 kg of the dearer variety of oil.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
19.

Prem and Ramesh started from two cities Patna and Allahabad respectively, traveling at constant speeds, to reach Allahabad and Patna respectively. At what time will they meet? Statement I: The distance between Patna and Allahabad is 250 km. Prem travels at 50 km/hr and Ramesh travels at 25 km/hr Statement II: Prem started from Patna at 5:00 a.m. and reached Allahabad at 11:00 a.m. Ramesh started from Allahabad at 7:00 a.m. and reached Patna at 3.00 p.m.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» C. The data in statements I alone or in statement II alone is sufficient to answer the question.
Discussion
20.

A surveyor draw three parallel straight lines on a Paper for a land survey. Two points P1 and P2 are marked on the first straight line, points P3 and P4 are marked on the second straight line and points P5 and P6 are marked on the third straight line. Each of these six points can move to any positions on its respective straight line. Statement I: The maximum number of triangle that can be drawn by joining these points is 18. Statement II: The minimum number of triangles that can be drawn by joining these points is zero.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. The data in statements I alone or in statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» C. The data in statements I alone or in statement II alone is sufficient to answer the question.
Discussion
21.

In a school, 60% of the girls aged 14 and above play football then how many of girls play football? Statement I : In the school, there are no girls below 14 years who play football. Statement II : In the school, girls comprise 60% of the total number of students who play football.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» E. The data in both the statements I and II together is necessary to answer the question.
Discussion
22.

What is the value of three digits number, the unit digit of which is 3 and divisible by 7? Statement I : The three digits number is divisible by 9. Statement II : The three-digit number is divisible by 21.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Discussion
23.

Two trains, running in the opposite direction cross each other in 18 sec. What is the difference between their lengths? Statement I : The difference between their speeds is 12 m/sec Statement II : The sum of their speeds is 36 meters per second.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» E. The data in both the statements I and II together is necessary to answer the question.
Discussion
24.

After 5 years, what will the sum of the age of Moni and Soni? Statement I : 5 years before, Moni was 5 years older than Soni. Statement II : At present, the ratio of their ages is 5 : 6.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
25.

What is the area of a right-angled triangle ABC, right angled at A? Statement I : The circum radius of the triangle is 6 cm. Statement II : Angle ABC = 60 degrees

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
26.

A certain mixture of paint requires blue, red, and yellow in the ratio of 2: 3: 4 respectively and no other ingredients. If there are ample quantity of blue and red paints are available then is there enough quantity of yellow paint is available to get the desired amount of the mixture? Statement I :Exactly 180 litres of the mixture is needed. Statement II : The difference between the quantity of blue paint available and the red paint available is 60 litres. Statement III : Exactly 180 litres of red paint are available.

A. The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
B. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
C. The data in statement I, II and III together are not sufficient to answer the question.
D. The data in statement only I and II together or only statement III are sufficient.
E. The data in all the statements I, II and III together are necessary to answer the question.
Answer» D. The data in statement only I and II together or only statement III are sufficient.
Discussion
27.

Can Ram drive from Bangalore to Chennai in less than 3 hours? Statement I : The average speed of Ram during the whole journey is less than 70 km/hr Statement II : The distance from Bangalore to Chennai is greater than 210 km. Statement III : He is driving a car the maximum speed of that can is 150 km/hr

A. The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
B. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
C. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
D. The data in statement only I and II together or only statement III are sufficient.
E. The data in all the statements I, II and III together are necessary to answer the question.
Answer» C. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
Discussion
28.

What is the rate of the compound interest? Statement I : A sum of 1000, amounts to 1331 at the rate of compound interest Statement II : The amount was invested for the period of three years Statement III : The simple interest received on that amount in one year is equal to the compound interest received on that amount in the first year.

A. The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
B. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
C. The data in statement I, II and III together are not sufficient to answer the question.
D. The data in statement only I and II together or only statement III are sufficient.
E. The data in all the statements I, II and III together are necessary to answer the question.
Answer» B. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
Discussion
29.

The average of the first four numbers is four times of the fifth number. Find the fifth number. Statement I : Average of the first two numbers is equal to the average of the next two numbers. Statement II : Average of the first two numbers is four times of the fifth number. Statement III : The average of the all the numbers is 3.4

A. The data in statements II and III together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
B. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
C. The data in statement I, II and III together are not sufficient to answer the question.
D. The data in statement III only are sufficient to answer the question.
E. The data in all the statements I, II and III together are necessary to answer the question.
Answer» E. The data in all the statements I, II and III together are necessary to answer the question.
Discussion
30.

What will be the cost of painting the four walls and ceiling of a room with length, width and height of 10 m, 15 m, and 20 m respectively? The room has two windows and one door. Statement I : Cost of painting is Rs. 7 per square meter. Statement II : Area of the ground of the room is 150 sq. meter. Statement III : Area of one window is 15 sq. meter which is 50% of the area of the door.

A. The data in statements I and III together are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
B. The data in statements I and II together are sufficient to answer the question, while the data in statement III are not sufficient to answer the question.
C. The data in statement I, II and III together are not sufficient to answer the question.
D. The data in statement only I and II together or only statement III are sufficient.
E. The data in all the statements I, II and III together are necessary to answer the question.
Answer» D. The data in statement only I and II together or only statement III are sufficient.
Discussion
31.

At present, the age of A is 1/3rd of the age of B then what are their ages? Statement I : After 10 years, the ratio of their ages will become 5 : 11. Statement II : 5 years age, the age of A was 25% of the age of B.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
32.

If a rope is cut into three pieces of unequal length, what is the length of the shortest of these pieces of rope? Statement I: The combined length of the longer two pieces of rope is 17 meters. Statement II: The combined length of the shorter two pieces of rope is 15 meters.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» E. The data in both the statements I and II together is necessary to answer the question.
Discussion
33.

How many years old will Anuj be p years from now? Statement I : Ankur is 14 years older than Anuj. Statement II : The sum of the ages of Ankur and Anuj is p years.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
34.

What should be the selling price of washing machine so as to make a profit of 25%? Statement I : An electronic shop dealer marks washing machine 80% above the cost price and after allowing a discount of 25% he claims a profit of Rs. 3500. Statement II : A shopkeeper sold the same washing machine for Rs. 15000 on the condition that shopkeeper will pay the transportation cost of Rs 2000 and he gets a profit of 25%.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
35.

Find the distance travelled by Rajdhani express in two hours if it travels with its original speed? Statement I :The train started from the origin station 20.25 hours later than the scheduled time towards its destination which is 750 km away from the origin. Statement II :To reach the destination station in the scheduled time the loco – piolet of the train increases the speed of the train to 125% of the original speed.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
36.

A metal block of density ‘D’ and mass ‘M’, in the form of a cuboid, is beaten into a thin square sheet of thickness ‘t’, and rolled to form a cylinder of the same thickness. Find the inner radius of the cylinder – Statement I : Cuboid has dimensions 10cm x 5 cm x 12 cm Statement II : Thickness ‘t’ = 1.5cm Statement III : Mass of block, M = 216kg

A. Either statement III alone or statements I and II together are sufficient.
B. Only statement III is sufficient.
C. Statement I and Statement II together are sufficient.
D. Only statement I, II, and III together are sufficient.
E. None of these
Answer» D. Only statement I, II, and III together are sufficient.
Discussion
37.

In a kilometre race, by how many meters Chandu beats Chand? Statement I :In a kilometer race, Chandu beats Chandan by 100 meters. Statement II :The respective ratio of the speed of Chandan and Chand is 4: 3. Statement III :In a kilometer race, Chandan beats Chand by 150 meters.

A. Either statement III alone or statements I and II together are sufficient.
B. Only statement III is sufficient.
C. Only statement I and II is sufficient.
D. Only statement I, II, and III are sufficient.
E. None of these
Answer» D. Only statement I, II, and III are sufficient.
Discussion
38.

What is the sum of the age of Ram and Mohan? Statement I : The age of Ram is 6 years more than the age of Mohan. Statement II : 40% of the age of Mohan is equal to 30% of the age of Ram. Statement III : The ratio between half of the age of Ram and one third of the age of Mohan is 2 : 1.

A. Either statement III alone or statements I and II together are sufficient.
B. Only statement III is sufficient.
C. Only statement I and II is sufficient.
D. Only statement I, II, and III are sufficient.
E. None of these
Answer» D. Only statement I, II, and III are sufficient.
Discussion
39.

Shatabdi Express leaves Patna at 8:00 am for Delhi. At what time will it reach Delhi? Statement I : For the first 100 km it travels at the speed of 250 km per hour and maintains the same speed during the entire journey. Statement II : It has 5 stoppages in between Delhi and Patna. Statement III : Before every stoppages, it covers a same distance of 240 km

A. Either statement III alone or statements I and II together are sufficient.
B. Only statement III is sufficient.
C. Only statement I and II together are sufficient.
D. Only statement I, II, and III together are sufficient.
E. None of these
Answer» F.
Discussion
40.

A person can purchase three articles in Rs. 49. What is the price of costliest article? Statement I :The cost price of two articles each is Rs. 1 less than the cost price of costliest article. Statement II : The cost price of two articles is same. Statement III: The cost price of costliest article is 6.25% more than the cost price of cheapest article.

A. Either statement I alone or statements II and III together are sufficient.
B. Only statement III is sufficient.
C. Only statement I and II together are sufficient.
D. Only statement I and III together are sufficient.
E. None of these
Answer» B. Only statement III is sufficient.
Discussion
41.

In a triangle ABC, which of the sides among AB, BC, and CA is the longest side? Statement I : The ratio of angle A to angle B is 3 : 2 that is the same as the ratio of angle B to angle C. Statement II : The perimeter of the triangle is 144 cm.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
Discussion
42.

The population of a city in the year 2018 was 219615 then what was the population of city exactly 4 years ago? Statement I : The population of city in the year 2018 is exactly 1.4641 times of that in the year 2014. Statement II : The population of the city increased by 10% each year.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. The data in both the statements I and II is not sufficient to answer the question.
Discussion
43.

What will be the sum of two numbers? Statement I : The smaller number is 14 less than the average of two numbers. Statement II : The ratio between half of the bigger number to one third of the average of the numbers is 17 : 9.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
44.

How much time train P will take to cover a distance of 532 km? Statement I : The ratio of speed at which train P and train Q runs is 4 : 5 respectively Statement II : The average speed of the train P and train Q is 400/9 km per hour?

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
45.

How much amount Rina will get at the end of two years if the rate of interest is compounded annually? Statement I : Rohan invests the same of amount of money under simple interest at the rate of 10% per annum and receives a total amount of Rs.1560 at the end of 3 years. Statement II : The difference between the simple interest and compound interest on the same sum of money at the same rate of interest at the end of 2 years is Rs 12.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
46.

What is the sum of x and y? Statement I : 15x + 4y = 108 Statement II : y = 27 – 3.75x

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» E. The data in both the statements I and II together is necessary to answer the question.
Discussion
47.

What is the area of a right-angled triangle ABC? Statement I : The length of sides AB and BC of the triangle is 12 cm and 9 cm respectively. Statement II : The inradius of the triangle ABC is 3 cm, and the circumradius is 7.5 cm.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» C. Either Statement I or Statement II alone is sufficient to answer the question.
Discussion
48.

How much time will Ram take to cover a distance of 100 km at a uniform speed? Statement I : The speed of Mohan is 10 km per hour more than that of Ram. Statement II : If Mohan increases his speed by 25% then he takes 3 hours 20 minutes less to cover a distance of 500 km.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
49.

Can a water tank of 2500 litres capacity be filled by two inlet pipes A and B together in less than 8 hours? Statement I : If pipe A is opened alone then it takes 12 hours to fill the tank. Statement II : Pipe B can fill 1 litres of water per minute.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
50.

What is the value of the two-digit number? Statement I : The sum of the digits at unit’s place and tenth’s place is 13. Statement II : When the digits are interchanged then the number obtained is 45 larger than the original number.

A. The data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
B. The data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion