1000+ CTBC Bank Interview Questions and Answers - 1
Question: 1
A bag has coins of 50 paisa, 25 paisa and 10 paisa in the respective ratio of 5 : 8 : 3 whose total value is Rs.144. Find the number of 50 paisa coins.
(A) 130
(B) 150
(C) 173
(D) 193
Ans: B
Ratio of the number of 50 paisa, 25 paisa and 10 paisa coins = 5 : 8 : 3.
Ratio of their values = $${5/2} : {8/4} : {3/10}$$
LCM of 2, 4 and 10 = 20
= $$({5}/{2} × 20)$$ : $$({8}/{4} × 20)$$ : $$({3}/{10} × 20)$$ = 50 : 40 : 6
Sum of the terms of ratio = 50 + 40 + 6 = 96
∴ Value of 50 paisa coins = $${50}/{96} × 144$$ = 75
∴ Number of 50 paisa coins = 75 × 2 = 150.
Question: 2
Mr. X has some money with him. He has to distribute the amount among five labourers in the ratio $${1}/{2}$$ : $${1}/{3}$$ : $${1}/{4}$$ : $${1}/{5}$$ : $${1}/{7}$$. What is the minimum amount he should have, so that each labourer gets an exact number of rupees?
(A) Rs.358
(B) Rs.512
(C) Rs.599
(D) Rs.699
Ans: C
L.C.M. of 2, 3, 4, 5, 7 = 420.
Given ratio = $${1/2} : {1/3} : {1/4} : {1/5} : {1/7}$$
= $$({1}/{2} × 420) : ({1}/{3} × 420) : ({1}/{4} × 420) : ({1}/{5} × 420) : ({1}/{7} × 420)$$
= 210 : 140 : 105 : 84 : 60
∴ Required minimum amount = Sum of ratio terms
= Rs.(210 + 140 + 105 + 84 + 60) = Rs.599.
Question: 3
There are 420 coins consisting of one rupee coins, 50 paise coins and 25 paise coins. If the ratio of their values be 2 : 3 : 5, then the number of one rupee coins is
(A) 10
(B) 20
(C) 30
(D) 40
Ans: C
Let the values of one rupee, 50-paise and 25-pais coins be Rs. 2x, Rs. 3x and Rs.5x respectively.
Then, number of one rupee coins = 2x;
Number of 50-paise coins = $${3x}/{0.5}$$ = 6x;
Number of 25-paise coins = $${5x}/{0.25}$$ = 20x.
∴ 2x + 6x + 20x = 420
⇒ 28x = 420 ⇒ x = 15.
Hence, number of one rupee coins = 2 × 15 = 30.
Question: 4
The ratio of number of boys to that of girls in a group becomes 2 : 1 when 15 girls leave. But, afterwards, when 45 boys also leave, the ratio becomes 1 : 5. Originally the number of girls in the group was
(A) 20
(B) 30
(C) 40
(D) 50
Ans: C
Let the number of boys and girls, after leaving of 15 girls, be 2x and x respectively.
Then, $${2x – 45} / {x}$$ = $${1}/{5}$$
⇒ 10x – 225 = x
⇒ 9x = 225
⇒ x = 25.
∴ Original number of girls = x + 15 = (25 + 15) = 40.
Question: 5
If the income of A is 10% more than that of B and the income of B is 20% less than that of C, then the incomes of A, B and C respectively are in the ratio
(A) 10 : 9 : 7
(B) 11 : 10 : 8
(C) 22 : 18 : 25
(D) 22 : 20 : 25
Ans: D
Let C’s income be Rs.x.
Then, B’s income = 80% of Rs.x = Rs.$$({4x}/{5})$$.
A’s income = 110% of Rs.$$({4x}/{5})$$ = Rs.$$({110/100} ×{4x}/{5})$$ = Rs.$$({22x}/{25})$$.
∴ A : B : C = $${22x}/{25}$$ : $${4x}/{5}$$ : x = 22 : 20 : 25.
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