Explore topic-wise MCQs in Grapecity.

This section includes 52 Mcqs, each offering curated multiple-choice questions to sharpen your Grapecity knowledge and support exam preparation. Choose a topic below to get started.

1.

In a caravan, in addition to 50 hens there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of  heads, find the number of  keepers

A. 17
B. 16
C. 14
D. 15
Answer» E.
2.

A man is standing on a railway bridge which is 180 m long. He finds that  a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed?

A. 52 km
B. 53 km
C. 54 km
D. 55 km
Answer» D. 55 km
3.

If A`s salary is 20% less then B`s salary , by how much percent is B`s salary more than A`s ?

A. 25%
B. 26%
C. 30%
D. 27%
Answer» B. 26%
4.

A man can row upstream at 7 kmph and downstream at 10 kmph.Find man’s rate in still water and the rate of current

A. 1.5 km/hr
B. 2.5 km/hr
C. 1.6 km/hr
D. 1.7 km/hr
Answer» B. 2.5 km/hr
5.

Find the area of a square, one of whose diagonals is 3.8 m long

A. 7.12 m2
B. 7.32 m2
C. 7.42 m2
D. 7.20 m2
Answer» C. 7.42 m2
6.

Find the smallest number of 6 digits which is exactly divisible by 111

A. 100011
B. 100012
C. 100014
D. 100013
Answer» B. 100012
7.

The ages of two persons differ by 16 years. If 6 years ago, the elder  one be 3 times as old as the younger one, find their present ages.

A. 15 years and 29 years
B. 14 years and 30 years
C. 13 years and 31 years
D. 12 years and 32 years
Answer» C. 13 years and 31 years
8.

A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleable and there are 12 unsaleable mangoes in the crate then how many mango are there in the crate?

A. 450
B. 480
C. 500
D. 490
Answer» C. 500
9.

If a man walks at the rate of 5 kmph, he misses a train by 7 minutes. However, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. Find the distance covered by him to reach the station.

A. 8 km
B. 7 km
C. 6 km
D. 9 km
Answer» D. 9 km
10.

In how many ways can a cricket eleven be chosen out of a batch of 15 players?

A. 1375
B. 1265
C. 1385
D. 1365
Answer» E.
11.

A man can row 7 ½ kmph in still water.if in a river running at 1.5 km/hr an hour,it takes him 50 minutes to row to a place and back,how far off is the place?

A. 6km
B. 5km
C. 8km
D. 3km
Answer» E.
12.

A is twice as good a workman as B and together they finish a piece in 18 days. In how many days will A alone finish the work?

A. 25 days
B. 26 days
C. 28 days
D. 27 days
Answer» E.
13.

A Cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find ratio of their volumes.

A. 2:4:6
B. 1:5:8
C. 1:2:3
D. 1:4:6
Answer» D. 1:4:6
14.

The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.

A. 27 cm and 23 cm.
B. 26 cm and 24 cm.
C. 29 cm and 21 cm.
D. 25 cm and 25 cm.
Answer» B. 26 cm and 24 cm.
15.

One year ago, the ratio of gaurav’s and sachin’s age was 6: 7 respectively.Four years hence, this ratio would become 7: 8. How old is sachin ?

A. 36 years
B. 37 years
C. 38 years
D. 39 years
Answer» B. 37 years
16.

Find the unit’s digit in (264)102 + (264)103

A. 0
B. 1
C. 2
D. 3
Answer» B. 1
17.

A train 100 metres long takes 6 seconds to cross a man walking at 5 kmph in the direction  opposite to that of the train. Find the speed of the train.?

A. 55 kmph
B. 57 kmph
C. 56 kmph
D. 58 kmph
Answer» B. 57 kmph
18.

Mr. Bhaskar is on tour and he has rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by rs. 3. For how many days is mr. Bhaskar on tour?  

A. 22 days
B. 20 days
C. 25 days
D. 26 days
Answer» C. 25 days
19.

The dimensions of an open box are 50 cm, 40 cm and 23 cm. Its thickness is 2 cm. If 1 cubic cm of metal used in the box weighs 0.5 gms, find the weight of the box.

A. 7.04 kg
B. 6.04 kg
C. 8.04 kg
D. 9.04 kg
Answer» D. 9.04 kg
20.

Find the sum of all odd numbers upto 100

A. 2500
B. 2550
C. 2560
D. 2800
Answer» B. 2550
21.

If 1/8 of a pencil is black ½ of the remaining is white and the remaining 3 ½  is blue find the total length of the pencil?

A. 7cm
B. 9cm
C. 10cm
D. 8cm
Answer» E.
22.

The sum of two numbers is 16 and the sum of their squares is 113. Find the numbers

A. 5 and 6
B. 6 and 7
C. 7 and 8
D. 8 and 9
Answer» D. 8 and 9
23.

Two unbiased  coin are tossed .what is the probability of getting at most one head?

A. 3/5
B. 3/4
C. 3/6
D. 3/7
Answer» C. 3/6
24.

A batsman makes a score of 87 runs in the 17th innings and thus increases his avg by 3. Find his average after 17th innings.

A. 39
B. 40
C. 42
D. 41
Answer» B. 40
25.

From a group of boys and girls,15 girls leave.there are then left 2 boys for each girl.after this,45 boys leave.there are then 5 girls for each boy. Find the number of girls in the beginning?

A. 50
B. 51
C. 41
D. 40
Answer» C. 41
26.

Rajeev’s age after 15 years will be 5 times his age 5 years back. What is the Present age of Rajeev?

A. 11 years
B. 12 years
C. 10 years
D. 15 years
Answer» D. 15 years
27.

If each side of a square is increased by 25%, find the percentage change in its area

A. 56.45%.
B. 56.25%
C. 55.25%.
D. 52.25%.
Answer» C. 55.25%.
28.

How many words can be formed by using all letters of the word “bihar”

A. 110
B. 120
C. 130
D. 140
Answer» C. 130
29.

Water flows into a tank 200 m x 160 m through a rectangular pipe of 1.5 m x 1.25 m @ 20 km/hr . In what time (in minutes) will the water rise by 2 meter?

A. 92 minutes
B. 86 minutes
C. 96 minutes
D. 94 minutes
Answer» D. 94 minutes
30.

31, 29, 24, 22, 17, ? Find the missing series.

A. 16
B. 13
C. 15
D. 17
Answer» D. 17
31.

Arjun and Sajal are friends . Each has some money. If Arjun gives Rs. 30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives Rs. 10 to Arjun, the Arjun will have thrice as much as is left with Sajal. How much money does each have?

A. Rs. 34 & Rs. 62
B. Rs. 62 & Rs. 34
C. Rs. 64 & Rs. 36
D. Rs. 36 & Rs. 62
Answer» C. Rs. 64 & Rs. 36
32.

a and b together can complete a piece of work in 4 days. If a alone can complete the same work in 12 days, in how many days can b alone complete that work?

A. 8 days
B. 6 days
C. 12 days
D. 9 days
Answer» C. 12 days
33.

The product of the ages of Ankit and Nikita is 240. If twice the age of Nikita is more than Ankit’s age by 4 years, what is Nikita’s age?

A. 18 years
B. 20 years
C. 16 years
D. 12 years
Answer» E.
34.

A man can row 18 km/hr in still water. It takes him thrice as long to row up as to row down the river. Find the rate of stream.

A. 9 km/hr
B. 18 km/hr
C. 27 km/hr
D. 10 km/hr
Answer» B. 18 km/hr
35.

3, 7, 15, 39, 63, 127, 255, 511. Find out the wrong number in series.

A. 39
B. 15
C. 127
D. 63
Answer» B. 15
36.

Village A has a population of 68000, which is decreasing at the rate of 1200 per year. Village B has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages be equal?

A. 15 Years
B. 16 Years
C. 13 Years
D. 12 Years
Answer» D. 12 Years
37.

10 cats caught 20 rats in 10 seconds. How many cats are required to catch 100 rats in 50 seconds?

A. 100
B. 50
C. 10
D. 20
Answer» D. 20
38.

3, 7, 15, 31, 63, ? Find the missing series.

A. 127
B. 136
C. 128
D. 147
Answer» B. 136
39.

Average age of students of an adult school is 40 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students:

A. 240
B. 360
C. 120
D. 260
Answer» B. 360
40.

A businessman purchased 35 kg dal of Rs 525 and sells it at the rate of Rs 18 per kg.  Then the rate of profit or loss is:

A. 50%
B. 30%
C. 25%
D. 20%
Answer» E.
41.

The average weight of a,b,c is 45 kg. The average weight of a & b is 40 kg & that of b,c is 43 kg. Find the weight of b.

A. 31 kg
B. 35 kg
C. 33 kg
D. 41 kg
Answer» B. 35 kg
42.

Find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of Rs. 12.40 per square meter.a

A. Rs. 1946.40
B. Rs. 1934.40
C. Rs. 1994.40
D. Rs. 2000.40
Answer» C. Rs. 1994.40
43.

Average weight of 19 men is 74 kgs. and the average weight of 38 women is 63 kgs. What is the average weight (rounded off to the nearest integer) of all the men and the women together

A. 59kgs
B. 65kgs
C. 69kgs
D. 67kgs
Answer» E.
44.

The respective ratio between the present ages of father, mother and daughter is 7 : 6 : 2. The difference between mother's and the daughter's age is 24 years. What is the father's age at present?

A. 43 years
B. 42 years
C. 39 years
D. 38 years
Answer» C. 39 years
45.

Average of five numbers is 61. If the average of first and third number is 69 and the average of second and fourth number is 69, what is the fifth number ?

A. 31
B. 29
C. 25
D. 35
Answer» C. 25
46.

A student was awarded certain marks in an examination. However, after re-evaluation, his marks were reduced by 40% of the marks that were originally awarded to him so that the new score now became 96. How many marks did the student lose after re-evaluation?

A. 58
B. 68
C. 63
D. 64
Answer» E.
47.

Aryan got 350 marks and Vidya scored 76 percent marks in the same test. If Vidya scored 296 marks more than Aryan, what were the maximum marks of the test ?

A. 650
B. 900
C. 850
D. 950
Answer» D. 950
48.

Last year there were 610 boys in a school. The number decreased by 20 percent this year. How many girls are there in the school if the number of girls is 175 percent of the total number of boys in the school this year ?

A. 854
B. 848
C. 798
D. 782
Answer» B. 848
49.

Area of a rectangular field is 3584 m2 and the length and the breadth are in the ratio 7 : 2 respectively. What is the perimeter of the rectangle ?

A. 246m
B. 292m
C. 286m
D. 288m
Answer» E.
50.

35 percent of a number is two times 75 percent of another number. What is the ratio between the first and the second number respectively?

A. 35 : 6
B. 31 : 7
C. 23 : 7
D. None of these
Answer» E.