# Quant Test for SBI PO Prelims Exam Set – 12

1. Sum of A’s and B’s age 6 years ago is 88. A’s age 18 yrs ago is equal to B’s age 6 years ago. Find the age of A two year hence?
51 years
62 years
58 years
44 years
50 years
Option C
A+B = 88+12 = 100 –(1)
A-18 = B-6 A-B = 12 –(2)
On solving these two equations, A = 56
After 2 years = A = 58 years

2. Train A of length 120 m can cross a platform of length 240 m in 18 second the ratio of speed of train A and Train B is 4 : 5. Then find the length of Train B if train B can cross a pole in 12 seconds.
700 m
600 m
500 m
300 m
400 m
Option D
Let speed of train A be S
S × 18 = 360
S = 20 m/s
A : B = 4 : 5
Speed of B = 25 m/s
Length of train B = 25 × 12 = 300 m

3. Sum of volume of cylinder (S) and volume off cone (C) is 2190𝝅 cm² & height of both cylinder and cone is same i.e, 10 cm. If radius of cone is 15 cm then find the ratio of radius of S to radius of C?
4:5
2:3
5:6
1:2
3:1
Option A
Pi*r*r*h + 1/3*pi*R*R*h = 2190*pi
=>r/R = 4:5

4. In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy the same elements are in the ratio 2 : 3. In what ratio should these two alloys be mixed to form a new alloy in which the two elements are in ratio 5 : 8?
9/13
3/10
2/7
5/8
4/11
Option B
Zinc = 5/13-1/3 = 1/65
Copper = 2/5-5/13 = 2/39
Required ratio = (1/ 65)/(2/39) = 3/10

5. In a box there are 6 blue ball, x red balls & 10 green balls. Probability of choosing one red ball from the given box is 𝟏/𝟑 . Then find the sum of red and blue balls in the box?
14
16
10
18
20117.5, 117, 119, 111, 143, ?
Option A
x /(x + 16) = 1/3
=>3x = x + 16
=>x = 8
sum of red & blue balls = 8 + 6 = 14

6. Directions(6-10): Find the missing term ‘?’ of the following series.

7. 117.5, 117, 119, 111, 143, ?
20
10
25
15
30
Option D
-0.5
+2
-8
+32
-128
? = 15

8. 3, 11, 31, 69, 131, ?
200
223
274
250
291
Option B
1^3+2
2^3+3
3^3+4
4^3+5
5^3+6
6^3+7
? = 223

9. 12, 25, 48, 99, 194, 393, ?
666
745
780
720
851
Option C
*2+1
*2-2
*2+3
*2-4
*2+5
*2-6
? = 780

10. 1, 13, 83, 419, 1679, ?
6315
5522
6335
4102
5039
Option E
*7+6
*6+5
*5+4
*4+3
*3+2
? = 5039

11. 15, 12, 31, 148, ?
1442
1330
1210
1027
1120
Option D
*1-3
*3-5
*5-7
*7-9
? = 1027