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

In the following question, two quantities are given. Compare them and choose the correct option.
Quantity I: The value of x, where 4x² − 95x + 531 = 0.
Quantity II: The age (in years) of a teacher, if the average age of 39 students is 15 years and the average increases by 1 year when the teacher's age is included.

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

What will come in place of the question mark (?) in the following number series?
7, 6, 10, 27, 104, 515, ?

2964
3024
3044
3084
3144

What will come in place of the question mark (?) in the following question?
1/3 of ? + 75% of ? = 5.92 ÷ 0.16 + 12³ + 185

1650
1675
1700
1800
1950

Find the wrong number in the following number series.
7, 18, 40, 84, 172, 348, 697, 1404

84
172
348
697
1404

Pipes A and B can fill a tank in 32 minutes and 16 minutes respectively. Pipe A is opened first, and pipe B is opened 2 minutes later. In how many minutes in all will the tank be filled?

8
12
14
15
17

In the following question, two equations numbered I and II are given. Solve both the equations and choose the correct answer.
I. x² = 1156
II. y = √1369

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

In a business, A contributes one-sixth of the capital for half of the time, B contributes one-third of the capital for one-third of the time, and C contributes the rest of the capital for the whole time. Out of a total profit of Rs. 64000, what is B's share (in Rs.)?

10000
10080
10160
10200
10240

In the following question, two equations numbered I and II are given. Solve both the equations and choose the correct answer.
I. x = √1024
II. 5y² − 2 = −3y

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

A sells a chair to B at a profit of 30%. B sells it to C at a loss of 5%. If C pays Rs. 26676 for it, what did it cost A (in Rs.)?

21600
22000
22400
22800
23200

What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value.)
[45.99 × 8.01 + 420.10 ÷ 20.99 + 7/12 of 72.10 + ∛2743.90 − 204.09] ÷ ? ≈ 15.01

8
10
12
14
16

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 sum of money was lent at simple interest. What is the sum?
Statement I: The simple interest earned on the sum is Rs. 880.
Statement II: The simple interest earned is 2/25 of the sum.
Statement III: The sum was lent for 2 years.

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.

From 6 consonants and 4 vowels (all different), how many words of 4 letters, each containing 2 consonants and 2 vowels, can be formed? (The words need not be meaningful.)

2000
2040
2160
2200
2320

Section A of a class has 42 students with an average score of 40. The average score of section B is 88, and the average score of both sections together is 67. How many students are there in section B?

42
52
54
62
66

8 years ago, the average age of a family of 5 members was 27 years. A baby was born into the family 5 years ago. What is the present average age (in years) of the family?

20
22
24
26
30

Three dice are thrown together. What is the probability that the sum of the numbers on them is 16?

1/72
1/54
5/216
1/36
7/216

A train crosses a platform 460 m long in 75 seconds and another platform 570 m long in 86 seconds, running at the same speed. What is the length of the train (in metres)?

250
290
300
310
330

From a vessel full of pure milk, 9 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 9 : 7. What is the capacity of the vessel (in litres)?

30
31
33
35
36

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 borrowed some money at simple interest at 5% per annum for the first 2 years, 6% per annum for the next 1 year and 10% per annum for the period beyond 3 years. If he paid a total interest of Rs. 11830 at the end of 4 years, how much money did he borrow (in Rs.)?

45500
46000
47500
48000
48500

Two dice are thrown together. Given that the sum of the numbers is greater than 7, what is the probability that the sum of the numbers is a multiple of 3?

1/15
2/15
1/5
4/15
1/3

In the following question, two quantities are given. Compare them and choose the correct option.
Quantity I: The value of x, where 2x² − 105x − 702 = 0.
Quantity II: The number of days C alone takes to finish a work, if A, B and C together finish it in 8 days, A alone in 35 days and B alone in 40 days.

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

A loan of Rs. 210000 is to be repaid in two equal annual instalments at 10% per annum compound interest. What is the amount of each instalment (in Rs.)?

119000
121000
122000
124000
126000

A boat goes to a place downstream and returns to the starting point. Its average speed for the whole journey is 8 km/h. If the speed of the stream is 3 km/h, what is the speed of the boat in still water (in km/h)?

4
9
10
11
14

A vessel contains 152 litres of a mixture of milk and water in the ratio 5 : 3. Some quantity of the mixture is taken out and then 14 litres of water is added, so that the ratio of milk to water becomes 20 : 19. How many litres of the mixture were taken out?

88
96
100
104
108

A bus leaves a depot at 44 km/h. 2.5 hours later, a car leaves the same depot at 64 km/h along the same road. At what distance (in km) from the depot will the car overtake the bus?

328
344
348
352
368

The price of rice increases by 60% and a family reduces its consumption of rice by 10%. By what percent does the family's expenditure on rice increase?

39%
41%
42%
44%
50%

Sneha alone can do a work in 32 days. Sneha and Neha work together for 7 days, after which Neha leaves and Sneha finishes the remaining work in 18 days. In how many days can Neha alone do the whole work?

26
28
30
32
44

The inner circumference of a circular race track is 308 m and the track is 7 m wide. What is the area (in sq m) of the track? (Take π = 22/7)

2260
2270
2300
2310
2320

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 two-digit number? (Neither of its digits is zero.)
Statement I: The number obtained by reversing the digits is 45 more than the number.
Statement II: The difference between the two digits is 5.
Statement III: The product of the digits of the number is 6.

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.

The area of a trapezium is 456 sq cm and the distance between its parallel sides is 24 cm. If one parallel side is 11 cm, what is the other (in cm)?

16
21
22
23
27

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