# Quant Test for IBPS PO Prelims Exam set – 14

1. If two times of the Mohini’s age in years is included to her mother’s age, the total is 70 and if two times of the mother’s age is included to the Mohini’s age, the total is 95. So what is the age of Mohini’s Mother?
50
20
40
30
80
Option C
Mohini’s age = x
Mohini’s mother age = y
2x+y = 70 and x+2y = 95
y = 40

2. A boat running downstream covers a distance of 40 km in 5 hrs and for covering the same distance upstream it takes 10 hrs. What is the speed of the stream?
7 km/hr.
4 km/hr.
2 km/hr.
3 km/hr.
6 km/hr.
Option C
Downstream speed = 40/5 = 8 km/hr
Upstream speed = 40/10 = 4 km/hr
Speed of stream = 1/2*(8-4) = 2 km/hr.

3. Yash sold a machine to Shalini at a profit of 30%. Yash sold this machine to Sahil at a loss of 20%. If Yash paid Rs.5000 for this machine, then find the cost price of machine for Sahil?
Rs. 4100
Rs. 7400
Rs. 6300
Rs. 5200
Rs. 5000
Option D
R1 = 30% R2 = 20%
5000 * 130/100 * 80/100 = Rs. 5200

4. A solid metallic cylinder of base radius 5 cm and height 7 cm is melted to form cones, each of height 1 cm and base radius 1 mm. Find the number of cones?
71000
52500
48200
65200
55000
Option B
Number of cones =Volume of Cylinder / Volume of one cone
= π*5*5*7 / (1/3π * 1/10 * 1/10 * 1)
= 52500

5. A basket contains 5 red 4 blue 3 green marbles. If three marbles picked up random, What is the probability that either all are green or all are red?
1/45
1/33
1/30
1/25
1/20
Option E
Total Marbles = 12
Either all are green or all are red = 5c3 + 3c3
Probability = 5c3 + 3c3/12c3 = 11/220 = 1/20

6. Directions(6-10): What approximate value will come in place of question mark ‘?’ in the following questions.

7. 184 + 712 -336 – 4^3 = ?
450
496
414
400
440
Option B
184 + 712 -336 – 4^3 = ?
=>896 – 400 = ?
=>? = 496

8. (12.5% of 1296) – 3^3 = ?
160
148
117
135
120
Option D
(12.5% of 1296) – 3^3 = ?
=>? = (1/8*1296) – 27
=>? = 162 – 27
=>? = 135

9. 7/3 + 18/7 + 23/21 = ?
8
10
6
5
7
Option C
7/3 + 18/7 + 23/21 = ?
=>? = (49 + 54 + 23)/21
=>? = 126/21
=>? = 6

10. {(168*96)/144} + 32 = ?^2
16
18
12
19
10
Option C
{(168*96)/144} + 32 = ?^2
=>?^2 = {(12*14 *12*8)/(12*12)}+32
=>?^2 = 112+32
=>? = 12

11. (1764)^2 + 148 – 102 = ?
80
95
88
74
64
Option C
(1764)^2 + 148 – 102 = ?
=>42 + 148 – 102 =?
=>? = 88