Quantitative Aptitude Quiz for SBI PO | LIC AAO | IBPS | RBI – Set 92

1. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 3?
a) 3/10
b) 3/20
c) 2/5
d) ½
e) None of these

Click here to View Answer
Ans: a) 3/10
Here, S = [1, 2, 3, 4, …., 19, 20] Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18] P (E) = n (E) / n (S) = 6 / 20 = 3 / 10

2. In how many ways 6 boys and 3 girls be seated in a row so that the three girls do not sit together ?
a) 56 × 6 !
b) 66 × 7 !
c) 46 × 7 !
d) 76 × 6 !
e) None of these

Click here to View Answer
Ans: b) 66 × 7 !
9! – 7 ! × 3 ! = 7 ! ( 9 × 8 – 6) = 7 ! × 66

3. In how many ways 6 boys and 6 girls be seated in a row alternatively ?
a) 2 × 6 ! × 6 !
b) 4 × 6 ! × 6 !
c) 5 × 6 ! × 6 !
d) 6 ! × 6 !
e) None of these

Click here to View Answer
Ans: a) 2 × 6 ! × 6 !
6 ! 6 ! + 6 ! 6 ! = 2 × 6 ! × 6 !

Direction: In the following questions two equations numbered (I) and (II) are given. You have to solve both the equations and give answer :
 
a) If x > y 
b) If x >= y 
c) If x < y 
d) If x <= y
e) If x = y or the relationship can’t be established.
 
4. 
I. 6x² + 29x + 28 = 0
II. 6y² + 11y + 4 = 0

Click here to View Answer
Ans: d) If x <= y

6 x² + 8 x + 21 x + 28 = 0
2x (3 x + 4) + 7 (3x + 4) = 0
(3x + 4) (2 x + 7) = 0
x = -4/3, -7/2

6 y² + 3 y + 8 y + 4 = 0
3 y (2 y + 1) + 4 (2 y + 1) = 0
(3 y + 4) (2 y + 1) = 0
y = -4/3, -1/2
x <= y

5. 
I. x² + 3x – 54 = 0
II. y² + 4y – 77 = 0

Click here to View Answer
Ans: e) If x = y or the relationship can’t be established.

x² + 9x – 6 x – 54 = 0
x (x + 9) –6 ( x + 9) = 0
x = 6, –9

y² + 11 y – 7 y – 77 = 0
y (y + 11) – 7 (y + 11) = 0
(y – 7) (y + 11) = 0
y = 7, –11
i.e. No relation between x & y

Direction (Q. 6 -10) : Following table shows the population of six different cities, ratio of male and female among them and ratio of adult and minor among them. Answer given questions based on this
table.
 
1
6. What is the total male population of city – B ?
a) 307420
b) 311850
c) 322450
d) 336280
e) None of these

Click here to View Answer
Ans: b) 311850
B male = 554400/16 * 9 = 311850

7. What is the total adult population of city F ?
a) 187460
b) 173420
c) 184380
d) 178610
e) None of these

Click here to View Answer

Ans: a) 187460
F(Ad) = 302820/21 * 13 = 187460

8. Total male population of city – C is approximately what percentage of total population of city-D ?
a) 57.8%
b) 61.4%
c) 63.7%
d) 65%
e) 67.5%

Click here to View Answer

Ans: c) 63.7%
C’s male = 369900/9 * 4 = 164400
Req% = 164400/258000 * 100 = 63.72%

9.What is the difference between total number of adult and total number of minor of city – E ?
a) 76450
b) 80410
c) 81380
d) 82800
e) 83500

Click here to View Answer

Ans: d) 82800
Diff = 281520/17 * (11 – 6) = 16560 * 5 = 82800

10. Total number of female of city-A is approximately what percentage of total number of female of city-B ?
a) 48.48%
b) 51.84%
c) 57.65%
d) 61.48%
e) 65.76%

Click here to View Answer

Ans: e) 65.76%
A(Fe) = 333500/23 * 11 = 159500
B(Fe) = 554400/16 * 7 = 242550
Req% = 159500/242550 * 100 = 65.76%