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.

51.

Is x an even number? Statement I : 8x + 5y is an even number. Statement II : 3x + 6y is an even 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. Neither statement I nor statement II is sufficient to answer the questions.
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
52.

5 years ago, Ram was 5 times as old as me. At present, what is the age of Ram? Statement I : 2 years ago, Ram got married and at present, the average age of Ram and his wife is 52 years. Statement II : 5 years hence, Ram will be 2 times as old as his wife.

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. Neither statement I nor statement II is sufficient to answer the questions.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» F.
Discussion
53.

One day I left my home at 7 : 00 AM and assumed that if I run at uniform speed then I will reach my school at 12 : 00 AM. If my brother left the school for home at 8 : 00 AM with his uniform speed then at what time will he meet me? Statement I : The uniform speed of my brother is 14 km per hour. Statement II : He can reach home at 11:30 AM.

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. Neither statement I nor statement II is sufficient to answer the questions.
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
54.

When length of a rectangle was increased by 20% and breadth remains constant then area was increased by 100 sq. cm. What is the perimeter of the rectangle. Statement I : After increasing the length, the rectangle becomes a square. Statement II : After increasing the length, all the angles of the rectangle becomes 90 degree.

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. Neither statement I nor statement II is sufficient to answer the questions.
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
55.

Two friends A and B together can complete a piece of work in 10 days. In how many days A alone complete the piece of work? Statement I : B alone can complete half of the work in 12.5 days. Statement II : The efficiency of A is 50% more than that 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. Neither statement I nor statement II is sufficient to answer the questions.
E. The data in both the statements I and II together is necessary to answer the question.
Answer» D. Neither statement I nor statement II is sufficient to answer the questions.
Discussion
56.

Find the value of x Statement I : Ram and Shyam started a company where their investment is in the ratio of 5 : x respectively. After 2 months, Ganshayam joined them such that the ratio of the initial investment of Shyam and Ganshayam is 7 : 8 respectively. After a year, they received a total profit of Rs. 16800 Statement II : The profit share of Ganshayam after a year is Rs. 6000 out of total profit of Rs. 16800

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
57.

A man mixes 20 litres of water in a mixture P of milk and water such that the ratio of milk and water becomes equal in the mixture P. Another mixture Q, contains milk and water in the ratio 2 : 1 respectively. Now, if 25% of mixture P is added into mixture Q, then find the quantity of milk in the resultant mixture Q Statement I : Initially the ratio of water to milk in the mixture P was 3 : 8, respectively and the quantity of milk in mixture Q initially was 15 litres more than the quantity of water in mixture Q initially Statement II : Initially the ratio of water to milk in the mixture P is 3 : 8, respectively and the ratio of milk to water in the mixture Q is 38 : 23, respectively, after adding 25% mixture of P.

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
58.

Ram invested a sum of Rs. 80, 000 in scheme A offering simple interest. What is the interest earned by him after 2 years? Statement I : If Rajan had invested the same money for same time at the same rate of interest but compounded annually, he would have gained Rs. 1800 more Statement II : Scheme B offers an interest rate of 10%, compounded annually. If Rajan had invested the money partially in Scheme A and rest in scheme B, then the interest earned by him after 2 years will be Rs. 15600

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
59.

A shopkeeper sold two items of same marked price of Rs. 1500 at a profit of 20% and 25% respectively. Find the selling price of item B. Statement I : The discount offered by the shopkeeper for item A is 20% and the ratio of the cost price of item A to the cost price of item B is 10: 11 respectively Statement II : The selling price of item A and selling price of item B are in the ratio of 48: 55, respectively

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
60.

There are three people A, B and C. Find the time taken by C to complete the whole work. Statement I : A and B together can complete the work in 16 days while B and C can complete the whole work in 20 days. Statement II : A and B together can complete the work in 16 days. Efficiency of A and B is same.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» E. If the data given in both statements I and II together are not sufficient to answer the question.
Discussion
61.

Find the speeds of trains A and B, if running in the same direction the faster train passes the slower in 54 seconds. The speed of train A is more than train B. Statement I : Trains A and B of lengths 140 metres and 130 metres respectively are running on parallel tracks. Statement II : When running in opposite directions, they pass each other in 24 seconds.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» E. If the data given in both statements I and II together are not sufficient to answer the question.
Discussion
62.

Find the total population of Kanpur. Statement I : The ratio of the population of males and females in Kanpur is 33 : 29 and the difference between their population is 24000. Statement II : The population of Kanpur is 60% of that of Patna, and the difference between population of Kanpur and Patna is 35000.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» D. If the data in both statements I and II together are necessary to answer the question
Discussion
63.

Find the number of boys in the college, if 60% of the total boys and 40% of the total girls participated in an event. Statement I : The number of girls participated in the event is 120. There are more than 300 boys in the college. Statement II : The number of girls in the college is 25% more than the number of boys who participated in the event.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» E. If the data given in both statements I and II together are not sufficient to answer the question.
Discussion
64.

Two partners, P and Q entered in a business, what profit will Q get at the end of 2 years? Statement I : P and Q started the business by investing in the ratio 4: 7 and After 2 years, P’s share is Rs. 95000. Statement II : P joined the business with an amount of Rs. 500000

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» B. If 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
Discussion
65.

Pranav and Pankaj started working together. After a few days, Prashant joined them and they were able to finish the work in 10 days. All of them together were paid a total of Rs. 800. Find the share of Prashant. Statement I : Pranav can do the work in 20 days, while Pankaj can do the same work in 25 days. Statement II : Pranav can do the work in 60 days, while Pankaj can do the same work in 15 days.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» D. If the data in both statements I and II together are necessary to answer the question
Discussion
66.

A dishonest merchant professes to sell his article at Cost price but uses a faulty scale while selling. What is the profit percentage does the merchant make when he sells the article at Cost Price? Statement I : The cost price of the article is Rs. 25 per kg. Statement II : He uses a scale which weighs less by 20% Statement III : If he had sold the articles at 20% profit on cost price then his net profit percentage would have been 50%.

A. Either Statements II or III alone is sufficient.
B. Only statement I 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» B. Only statement I is sufficient.
Discussion
67.

A sum of Rs. 229 was divided among a, b, and c. What is the difference between the share of a and that of b? Statement I : The share of c is 40% less than the sum of the share of a and b. Statement II : The difference between b’s share and c’s share is Rs. 4. Statement III : The share of c is greater than the share of b.

A. Either Statement I and II together or Statement II and III together is sufficient.
B. Only statement I 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» E. None of these
Discussion
68.

What is the respective speed of the two trains, A and B of length 150 meters and 175 meters respectively. Statement I : They take 5 seconds to cross each other when they are running in opposite direction. Statement II : They take 65 seconds to cross each other where running in the same direction. Statement III : The sum of their speed is 65 m per sec.

A. Either Statement I and II together or Statement II and III together is sufficient.
B. Only statement I 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» B. Only statement I is sufficient.
Discussion
69.

A triangle is circumscribed by a circle. What is the perimeter of the triangle? Statement I : The circumference of the circle is 28π cm. Statement II : The largest side of the triangle is diameter of the circle. Statement III : The triangle is an isosceles triangle.

A. Either statement III alone or statements I and II together are sufficient.
B. Only statement I 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» E. None of these
Discussion
70.

While writing first N natural numbers, I missed one number. What is the number that I missed? Statement I : The sum of all the natural number which I wrote, is 320. Statement II : The digit I missed is an odd number. Statement III : if I had not missed the number then sum would have been 325.

A. Either statement III alone or statements I and II together are sufficient.
B. Only statement I 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» C. Only statement I and II together are sufficient.
Discussion
71.

There is a cylindrical tank in a society in which water is stored. What is the height of the tank? Statement I : The time taken to fill the tank through a pipe at a rate of 112 m3 of water per minute is 22 minutes. The cost of painting the curved surface area of the tank at Rs. 4 per m2 is Rs. 2816. Statement II : The curved surface area of the tank is 704 m2 and the time taken by a pipe to empty the tank is 28 minutes.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» B. If 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
Discussion
72.

Water and alcohol have been added in an empty container. Find the amount of water that has been added in the container. Statement I : The ratio in which water and alcohol have been added is 11 : 5, respectively and 160 litres of the mixture has been sold after mixing. Then 25 litres of water and 25 litres of alcohol are mixed in the container and the ratio of water and alcohol became 2 : 1, respectively. Statement II : The ratio in which water and alcohol have been added is 11 : 5, respectively. If 80 litres of another mixture of water and alcohol has been added then the ratio of water and alcohol became 5 : 3, respectively.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» B. If 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
Discussion
73.

Vivek mixes water and milk in an empty container A. Find the amount of water mixed by Vivek. Statement I : The ratio of the amount of water and the amount of milk in the container A is 5 : 13, respectively after Vivek has mixed milk and water. Vivek sells 72 litres of the mixture and then adds 44 more litres of a mixture of water and milk in the container. After mixing 44 more litres of the mixture, the ratio of the amount of water and the amount of milk becomes 4 : 9, respectively. Statement II : The ratio of the amount of water and the amount of milk in the container A is 5 : 13, respectively after Vivek has mixed milk and water. Vivek sells 72 litres of the mixture and then adds 44 more litres of a mixture of water and milk in the container in the ratio 5 : 6, respectively.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» E. If the data given in both statements I and II together are not sufficient to answer the question.
Discussion
74.

A man rows a boat upstream for a certain distance at a speed of 18 km/hr. If the ratio of speed of man in still water to the speed of stream is 5 : 2, find the time taken to row a boat downstream to cover the same distance covered upstream. Statement I : The total time taken by the man to cover upstream and downstream is 25/7 hours. Statement II : The time taken to cover the distance upstream is 2.5 hours.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» D. If the data in both statements I and II together are necessary to answer the question
Discussion
75.

Car A is moving behind car B in the same direction and the distance between them initially is 40 km and the speed of car B is 50 km/hr, then how long would car A take to cross car B. [Assume the length of the cars to be negligible] Statement I : The time taken car B to cover a distance of 200 km is 4 hours. Statement II : if the cars were moving in the opposite directions, towards each other, the relative speed of car A with respect to car B would have been 120 km/hr.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» C. If the data either in statement I alone or in statement II alone is sufficient to answer the question
Discussion
76.

Pipe A and B can fill a tank at the rate of 12 and 10 litre per minute respectively. There is a leakage also in the same tank. What is the capacity of the tank? Statement I : If A and B are opened simultaneously, the tank is filled in 5 hours 45 minutes and a leakage hole drains the pipe at the rate of 6 litres/minute. Statement II : Due to the leak the filled tank drains in 15 hours 20 minutes. If A and B are opened simultaneously, the tank is filled in 5 hours 45 minutes .

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
D. If the data in both statements I and II together are necessary to answer the question.
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» D. If the data in both statements I and II together are necessary to answer the question.
Discussion
77.

Find the amount of money invested by Jamnalal in the scheme? Statement I : An increase in simple interest from 44/3% to 58/3% per annum increases his yearly income by 2800. Statement II : The sum invested get doubled, when invested at 20% per annum for 5 years.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
D. If the data in both statements I and II together are necessary to answer the question.
E. If the data given in both statements I and II together are not sufficient to answer the question. .
Answer» B. If 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.
Discussion
78.

Two trains A and B are travelling towards each other on the same track. The initial distance between them is 91 km. Find the time, when the two trains will collide. Statement I : The speed of train A is 65km/h and the speed of B is 104 km/h more than that of train A. Statement II : The ratio of speeds of the two trains is 5 : 13.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
D. If the data in both statements I and II together are necessary to answer the question.
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» B. If 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.
Discussion
79.

Virat’s income is how much more than Rohit’s income? Statement I : Virat’s income is 30% less than his wife, whose provident fund deduction is Rs. 975 per month which is 5% of her monthly income. Statement II : Rohit spends 30% of his income on house rent, 15% of which is accessory bill and Virat’s expenditure on house rent is Rs. 4500 more than that of Rohit’s.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
D. If the data in both statements I and II together are necessary to answer the question.
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» F.
Discussion
80.

How many students from IIT Dhanbad got the placement? Statement I : Number of students studying in IIT Dhanbad and IIT Kanpur are in the ratio of 3 : 4 respectively and 80% of the students studying in IIT Kanpur got placement. Statement II : Number of students who got placement from IIT Kanpur is 120% of the number of students who got placement from IIT Dhanbad.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
D. If the data in both statements I and II together are necessary to answer the question.
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» F.
Discussion
81.

Rani, Supriya and Amita work on a project. If each of them is of a different efficiency. Who is the fastest worker among them? Statement I : Rani and Supriya take 5 days to complete the project while Supriya and Amita take 10 days to complete the same project. Statement II : Rani and Amita take 30/7 days to complete the project.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» B. If 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
Discussion
82.

Is the speed of the boat in still water at least twice that of the speed of the stream? Statement I : The time taken by the boat to reach a point P, from Q is exactly twice the time taken by the boat, to reach Q from the point P. Statement II : The time taken by the boat to cover 8 km downstream is 40 minutes and it takes four hours to cover 16 km upstream.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» D. If the data in both statements I and II together are necessary to answer the question
Discussion
83.

The lengths of trains A and B are in the ratio 2:3. Which of them takes less time to cross the same platform? Statement I : The time taken by train A to cross train B when they are moving in opposite directions is half the time taken by it to cross train B, when moving in the same direction. Statement II : The ratio of the length of train B to that of the platform is 4 : 3.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» B. If 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
Discussion
84.

Among 20 retired persons, is the number of persons, who are having at least 20 years of service, less than 8? Statement I : Exactly 17 persons joined the service before 2000 and exactly 14 persons retired after 2020. Statement II : Exactly 14 persons joined the service after 2000 and exactly 6 persons retired before 2020.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» B. If 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
Discussion
85.

Is the average age of the students of a school less than 17 years? Statement I : The strength of the class VIII is less than 25% of the strength of the school. Statement II : The average age of the students of class VIII of the school is 18 years and that of the remaining classes is 16 years.

A. If 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. If 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. If the data either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both statements I and II together are necessary to answer the question
E. If the data given in both statements I and II together are not sufficient to answer the question.
Answer» E. If the data given in both statements I and II together are not sufficient to answer the question.
Discussion