## 23 May 2016

### SBI Clerk Prelims 2016- Practice Aptitude Questions (Ratio & Proportion)

SBI Clerk Prelims 2016- Practice Aptitude Questions (Ratio & Proportion) Set-50:
Dear Readers, Important Practice Aptitude Questions with solution for Upcoming SBI Clerk Exam, candidates those who are preparing for those exams can use this practice questions.

1). A person bought some rice and wheat for Rs. 380. The ratio of weight of rice and wheat is 4 : 3 and the price of equal amount of rice and wheat is in the ratio 5 : 6. The rice was bought of worth

a)   Rs. 380

b)   Rs. 300
c)   Rs. 200
d)   Rs. 180
e)   None of these

2). A person distributes his pens among four friends A, B, C, D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens that the person should have?
a)   57
b)   65
c)   75
d)   45
e)   None of these

3). The third proportional of 12 and 18 is
a)   3
b)   6
c)   27
d)   144
e)   None of these

4). If x runs are second by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total number of runs scored by A, B and C is 342, the runs scored by each would be respectively
a)   144, 96, 64
b)   162, 108, 72
c)   180, 120, 80
d)   189, 126, 84
e)   None of these

5). If A : B = 3 : 4 and B : C = 6 : 5, then C : A is
a)   10 : 9
b)   9 : 10
c)   8 : 9
d)   9 : 8
e)   None of these

6). If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then the values of c is
a)   6
b)   7
c)   8
d)   14
e)   None of these

7). If x : y = 3 : 4 and y : z = 3 : 4, then (x + y + z) / 3z is equal to
a)   13 / 27
b)   1 / 2
c)   73 / 84
d)   37 / 48
e)   None of these

8). A man ordered a pairs of black socks and some pairs of brown socks. The price of a black socks is double that of a brown pair. While preparing the bill the clerk interchanged the number of black and brown pairs by mistake which increased the bill by 50%. The ratio of the number of black and brown pairs of socks in the original order was :
a)   2 : 1
b)   1 : 4
c)   1 : 2
d)   4 : 1
e)   None of these

9). The ratio between a two digit number and the sum of the digits of that number is 4 : 1. If the digit in the unit’s place is 3 more than the digit in the ten’s place, the number is
a)   47
b)   69
c)   36
d)   25
e)   None of these

10). Three number are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, then the numbers are
a)   8, 12 and 16
b)   16, 24 and 32
c)   12, 18 and 24
d)   Cannot be determined
e)   None of these

1). c) 2). a) 3). c) 4). b) 5). a) 6). a) 7). d) 8). b) 9). c) 10). b)

Solution:

1). Rice : Wheat = 4 × 5 : 3 × 6
= 20 : 18 = 10 : 9
Total cost of rice = (10 / 19) × 380 = Rs. 200

2). A : B : C = 1/3 : 1/4 : 1/5 : 1/6
= 1/3 × 60 : 1/4 × 60 : 1/5 × 60 : 1/6 × 60 (LCM of 3, 4, 5 & 6 = 60)
= 20 : 15 : 12 : 10
Minimum number of pens = 20 + 15 + 12 + 10 = 57

3). Third proportional of 12 and 18 = x
12 : 18 = 18 : x
x = (18 × 18) / 12 = 27

4). x : y = 3 : 2 = 9 : 6
y : z = 3 : 2 = 6 : 4
:. x : y : z = 9 : 6 : 4
9a + 6a + 4a = 342 à 19a = 342 à a = 342 / 19 = 18
A = 18 × 9 = 162
B = 18 × 6 = 108
C = 18 × 4 = 72

5). A / B = 3 / 4, B / C = 6 / 5
(A / B) × (B / C) = (3 /4) × (6 / 5) = 9 / 10
A / C = 9 / 10 à C / A = 10 / 9

6). (a + b) / 6 = (b + c) / 7 = (c + a) / 8 = k
a + b = 6k;  b + c = 7k;  c + a = 8k
a + b + b + c + c + a = 6k + 7k + 8k à 2 (a + b + c) = 21k
2 × 14 = 21k à k = (4/3)
c = (a + b + c) – (a + b) = 14 – 6 × (4/3) = 14 – 8 = 6

7). x : y = 3 : 4 = 9 : 12
y : z = 3 : 4 = 12 : 16
x : y : z = 9 : 12 : 16
(x + y + z) / 3z = (9k + 12k + 16k) / (3 × 16k) = 37 / 48

8). Number of brown socks = x
Price of brown socks = Rs. y per pair
Price of black socks = Rs. 2y per pair
4y + x × 2y
= (150 / 100) (4 × 2y + xy) = 4 + 2x = 3/2 (8 + x)
= 8 + 4x = 24 + 3x à x = 24 – 8 = 16
Required ratio = 4 : 16 = 1 : 4.

9). Of the given alternatives,
Number = 36 , 3 + 6 = 9 ; 6 – 3 = 3 and 36 : 9 = 4 : 1
Otherwise 10x + y : x + y = 4 : 1
10x + (x + 3) : x + (x + 3) = 4 : 1
(11x + 3) / (2x + 3) = 4 / 1 à 11x + 3 = 8x + 12
3x = 9 à x = 3 and y = 6

10). Numbers = 2x, 3x and 4x
(2x)2 + (3x)2 + (4x)2 = 1856
4x2 + 9x2 + 16x2 = 1856
29 x2 = 1856
x2 = 1856 / 29 = 64
x = √64 = 8
Numbers = 16, 24 and 32