Bank PO Mains Quant Practice Test – IBPS PO, SBI PO, RRB PO (Free)

Three dice are thrown together. What is the probability that the sum of the numbers on them is 9?

5/72
17/216
7/72
23/216
25/216

B lends Rs. 12500 at 5% per annum and C lends Rs. 7500 at 15% per annum, both at simple interest. After how many years will the two amounts be equal?

7
8
10
14
15

In the following question, two quantities are given. Compare them and choose the correct option.
Quantity I: The value of x, where x² − 39x + 290 = 0.
Quantity II: The quantity of water (in litres) to be added to 117 litres of a mixture containing milk and water in the ratio 7 : 2 to make the ratio 7 : 4.

Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity I < Quantity II
Quantity I ≤ Quantity II
Quantity I = Quantity II or the relationship cannot be established

In the following question, two equations numbered I and II are given. Solve both the equations and choose the correct answer.
I. x = √36
II. 7y² − 41y − 6 = 0

x > y
x ≥ y
x < y
x ≤ y
x = y or the relationship between x and y cannot be established

What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value.)
(?)² ≈ √441.02 × 9.97 + (7.05)³ − 864.05 ÷ 16.05 − 302.88

14
15
16
17
18

The curved surface area of a right circular cylinder is 4752 sq cm and its volume is 49896 cubic cm. What is the height (in cm) of the cylinder? (Take π = 22/7)

32
33
34
36
40

Bag A contains 9 red and 3 black balls, and bag B contains 6 red and 7 black balls. One ball is drawn at random from bag A and put into bag B. A ball is then drawn at random from bag B. What is the probability that this ball is red?

27/56
89/168
97/168
113/168
121/168

From a vessel full of pure milk, 6 litres of milk is taken out and replaced with water. This process is repeated once more. The ratio of milk to water in the vessel is now 16 : 9. What is the capacity of the vessel (in litres)?

22
26
28
30
36

Rs. 241500 is divided into two parts. The first part is lent at 6% per annum simple interest for 5 years and the second at 5% per annum compound interest for 2 years. If the interest earned on both parts is equal, what is the first part (in Rs.)?

59000
59500
61000
61500
62000

A dishonest dealer uses false weights while buying and selling tea. While buying he takes 1050 grams for every kilogram he pays for, and while selling he gives only 875 grams for every kilogram he charges for. What is his overall gain percentage?

14%
16%
17.5%
18%
20%

A man rowing upstream at a speed of 13 km/h in still water drops his hat in a river flowing at 5 km/h. He notices it 15 minutes later, turns back immediately and rows downstream with the same effort. At what distance (in km) from the point where the hat fell will he catch it?

1.25
1.5
2.5
3.25
4.5

Find the wrong number in the following number series.
8, 41, 118, 285, 634, 1447, 2798, 5717

285
634
1447
2798
5717

How many 4-digit numbers divisible by 5 can be formed using the digits 0, 1, 4, 5, 8, if no digit is repeated?

24
34
38
40
42

Two vessels contain mixtures of milk and water in the ratio 7 : 3 and 1 : 9 respectively. If the mixtures of the two vessels are mixed in the ratio 4 : 5, what is the ratio of milk to water in the new mixture?

12 : 19
11 : 19
11 : 18
19 : 11
10 : 19

What will come in place of the question mark (?) in the following question?
√? × 2 + √1156 × 11 + 3/4 of 544 = 57 ÷ 1.5 − 2.25 × 16 + (26² − 18²) + 502

1369
1444
1521
1600
1681

The inner circumference of a circular race track is 484 m and the track is 21 m wide. What is the area (in sq m) of the track? (Take π = 22/7)

11300
11450
11500
11550
11650

In the following question, two quantities are given. Compare them and choose the correct option.
Quantity I: The quantity of water (in litres) to be added to 45 litres of a mixture containing milk and water in the ratio 8 : 1 to make the ratio 5 : 6.
Quantity II: The value of x, where x² − 30x − 559 = 0.

Quantity I > Quantity II
Quantity I ≥ Quantity II
Quantity I < Quantity II
Quantity I ≤ Quantity II
Quantity I = Quantity II or the relationship cannot be established

Two trains start at the same time from stations P and Q towards each other. After meeting, the first train (from P) takes 16 hours to reach Q and the second train (from Q) takes 12.25 hours to reach P. If the speed of the first train is 84 km/h, what is the speed of the second train (in km/h)?

96
104
112
116
120

The question below is followed by three statements I, II and III. No statement alone is sufficient to answer the question. Decide which of the statements are sufficient to answer it.
Question: A train crosses a platform. What is the speed of the train in km/h?
Statement I: The train crosses a signal pole in 10 seconds.
Statement II: The train crosses a man running at 18 km/h in the same direction in 12 seconds.
Statement III: The platform is 510 m long.

Only statements I and II together are sufficient to answer the question.
Only statements II and III together are sufficient to answer the question.
Only statements I and III together are sufficient to answer the question.
Any two of the three statements together are sufficient to answer the question.
All three statements I, II and III together are necessary to answer the question.

A bowler's average is 16 runs per wicket. In his next match he takes 6 wickets for 44 runs, and his average falls by 0.5 runs per wicket. How many wickets had he taken before this match?

98
100
104
108
110

Vikram alone can do a work in 36 days. Vikram and Sneha work together for 8 days, after which Sneha leaves and Vikram finishes the remaining work in 12 days. In how many days can Sneha alone do the whole work?

18
20
21
23
24

In the following question, two equations numbered I and II are given. Solve both the equations and choose the correct answer.
I. x³ + 1728 = 0
II. y² = 225

x > y
x ≥ y
x < y
x ≤ y
x = y or the relationship between x and y cannot be established

Towns P and Q are 610 km apart. A car leaves P for Q at 30 km/h. 1 hour later, another car leaves Q for P at 70 km/h. At what distance (in km) from P will the two cars meet?

192
200
204
208
220

In a town, 48% of the population is literate, and 35% of the literate people are women. If the number of literate men is 7956, what is the population of the town?

25500
26000
27000
27500
28500

Sneha starts a business with Rs. 133000. Ritu joins after 4 months with Rs. 62000, and Meena joins after 9 months with Rs. 116000. If Meena's share of the profit at the end of the year is Rs. 4350, what is the total profit (in Rs.)?

29000
29500
30500
31000
33000

The question below is followed by three statements I, II and III. No statement alone is sufficient to answer the question. Decide which of the statements are sufficient to answer it.
Question: What is the present age of Rahul?
Statement I: 15 years ago, the ratio of the ages of Rahul and Rohan was 2 : 1.
Statement II: Suresh is 14 years younger than Rohan.
Statement III: The product of the present ages of Rahul and Rohan is 1457.

Only statements I and II together are sufficient to answer the question.
Only statements II and III together are sufficient to answer the question.
Only statements I and III together are sufficient to answer the question.
Any two of the three statements together are sufficient to answer the question.
All three statements I, II and III together are necessary to answer the question.

Two pipes can fill a tank in 9 minutes and 36 minutes respectively. An outlet pipe empties water at 18 litres per minute. With all three pipes open, the empty tank is filled in 12 minutes. What is the capacity of the tank (in litres)?

312
324
332
340
348

What will come in place of the question mark (?) in the following number series?
384, 576, ?, 1296, 1944, 2916, 4374

792
840
864
924
936

A trader sells half of his stock at a profit of 20%. At what profit percentage must he sell the remaining stock to earn an overall profit of 12%?

2%
3%
4%
5%
7%

The product of Vikram's age 5 years ago and Vikram's age 5 years hence is 759. What is Vikram's present age (in years)?

28
31
32
33
34

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