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

One pipe can fill a tank 32 minutes faster than another pipe. Both pipes together can fill the tank in 30 minutes. In how many minutes can the slower pipe alone fill the tank?

80
90
100
105
110

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 Manoj?
Statement I: The product of the present ages of Manoj and Rohan is 1209.
Statement II: After 9 years, the ratio of the ages of Manoj and Rohan will be 6 : 5.
Statement III: 11 years ago, the ratio of the ages of Manoj and Rohan was 7 : 5.

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.

In the following question, two quantities are given. Compare them and choose the correct option.
Quantity I: The speed (in km/h) of a boat in still water, if it goes 72 km downstream in 4 hours and returns the same distance in 6 hours.
Quantity II: The value of x, where x² − 44x + 480 = 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

A train meets with an accident and then moves at 3/4 of its original speed, reaching its destination 50 minutes late. Had the accident occurred 60 km further on, the train would have been only 26 minutes late. What is the original speed of the train (in km/h)?

25
30
35
45
50

In the following question, two equations numbered I and II are given. Solve both the equations and choose the correct answer.
I. 2x² + 33x + 135 = 0
II. 7y² − 122y − 525 = 0

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

A sells a mobile phone to B at a profit of 20%. B sells it to C at a loss of 20%. If C pays Rs. 14016 for it, what did it cost A (in Rs.)?

13600
13800
14200
14600
15600

Two places A and B on a river are 195 km apart, with B downstream of A. Two boats start at the same time, one from A towards B and the other from B towards A. Their speeds in still water are 10 km/h and 16 km/h respectively, and the stream flows at 2 km/h. At what distance (in km) from A will they meet?

65
70
75
80
90

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

24 : 11
5 : 2
11 : 24
13 : 6
12 : 5

When Anjali was born, Kavita was 14 years old. When Pooja was born, Anjali was 5 years old. If the sum of the present ages of the three is 78 years, what is the present age (in years) of Pooja?

12
18
23
26
30

A number is first increased by 20% and the result is then decreased by 25%. The final number is 246 less than the original number. What is the original number?

2340
2460
2480
2560
2580

A sum of money at compound interest amounts to Rs. 88200 in 2 years and to Rs. 92610 in 3 years. What is the sum (in Rs.)?

65000
80000
85000
90000
105000

In the following question, two equations numbered I and II are given. Solve both the equations and choose the correct answer.
I. x³ = 2744
II. y³ + 512 = 0

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

A hemispherical bowl of internal radius 15 cm is full of liquid. The liquid is to be filled into cylindrical bottles of radius 1 cm and height 9 cm. How many bottles are needed to empty the bowl?

125
175
250
275
500

The average temperature from Wednesday to Friday was 30 °C, and the average temperature from Thursday to Saturday was 28 °C. If the temperature on Saturday was 3/4 of the temperature on Wednesday, what was the temperature (in °C) on Saturday?

8
10
14
18
24

Two cards are drawn together at random from a well-shuffled pack of 52 cards. What is the probability that one is a red ace and the other is a black king?

1/1326
1/663
1/442
2/663
5/1326

Three vessels contain mixtures of milk and water in the ratios 9 : 8, 1 : 8 and 4 : 5 respectively. If the contents of the three vessels are mixed in the ratio 4 : 2 : 4 by volume, what is the ratio of milk to water in the new mixture?

7 : 10
5 : 6
8 : 11
10 : 7
9 : 13

A trader sells three-fifths of his stock at a profit of 15%. At what profit percentage must he sell the remaining stock to earn an overall profit of 25%?

16%
24%
28%
36%
40%

A die is thrown three times. What is the probability that the number 2 appears exactly twice?

11/216
13/216
5/72
17/216
19/216

In the following question, two quantities are given. Compare them and choose the correct option.
Quantity I: The value of x, where x² − 35x + 276 = 0.
Quantity II: The number of days C alone takes to finish a work, if A, B and C together finish it in 6 days, A alone in 20 days and B alone in 30 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

The perimeter of a square is equal to the circumference of a circle. If the area of the square is 121 sq cm, what is the area (in sq cm) of the circle? (Take π = 22/7)

152
154
158
160
164

Ritu can do a work in 12 days and Amit in 34 days. They work on alternate days, with Ritu working on the first day. In how many days will the work be completed?

12.5
13.5
15.5
16.5
17.5

What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value.)
80.05% of 75.05% of 5129.97 + 44.98% of 1280.03 + √1681.08 − ? ≈ ∛512.06 + 17.95 × 16.95

2581
2781
2981
3181
3381

A train 190 m long crosses a bridge 230 m long in 24 seconds. How many seconds will it take to pass a man sitting in another train running at 51 km/h in the opposite direction?

6
8
10
11
12

How many 4-digit numbers greater than 5000 can be formed using the digits 2, 5, 6, 7, 8, if no digit is repeated?

88
96
100
116
120

What will come in place of the question mark (?) in the following number series?
78, 105, ?, 171, 210, 253

120
136
140
144
152

A, B and C start a business. A invests 4 times as much as B, and B invests one-third of what C invests. If the profit at the end of the year is Rs. 143000, what is C's share (in Rs.)?

53550
53625
53675
53700
53725

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: In how many days can Suresh alone complete a piece of work?
Statement I: Rahul and Vikram together can complete the work in 15 days.
Statement II: Vikram alone can complete the work in 60 days.
Statement III: Suresh and Rahul together can complete the work in 7.5 days.

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 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

What will come in place of the question mark (?) in the following question?
[√(24² + 45²) − √961 + (157 − 31) ÷ 6 + 193] ÷ ? = 13

12
18
20
24
28

What will come in place of the question mark (?) in the following number series?
20, 40, 42, 84, 86, ?

157
172
182
192
197

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