1000+ Ethiopian Bank Interview Questions and Answers Pdf - 1

Question: 1

A merchant has 435 litres, 493 litres and 551 litres of three different kinds of milk. Find the least number of casks of equal size required to store all the milk without mixing.

(A) 41

(B) 51

(C) 61

(D) 71

Ans: B

Since minimum number of casks are required, the size of the cask is greatest. Also the cask in three cases are equal size. The size of the task is the H.C.F. of 435, 493 and 551 which is 29.

Now, the number of casks required for storing the milk

= (493 + 435 + 551) ÷ 29 = 51.

Question: 2

The L.C.M. and H.C.F. of the numbers 28 and 42 are in the ratio

(A) 2:3

(B) 3:2

(C) 6:1

(D) 7:2

Ans: C

L.C.M. of 28, 42 = 84

H.C.F. of 28, 42 = 14

∴ Required ratio = 84 : 14 = 6:1.

Question: 3

The L.C.M. of two numbers is 820 and their H.C.F.is 26. If one number is 130 then the other number is

(A) 164

(B) 364

(C) 1264

(D) 1690

Ans: B

Required number = $${1820 × 26}/{130}$$ = 364.

Question: 4

H.C.F. and L.C.M. of two numbers are 7 and 140 respectively. If the numbers are between 20 and 45, the sum of the numbers is

(A) 56

(B) 63

(C) 70

(D) 77

Ans: B

Since the H.C.F. is 7. therefore, possible numbers could be 21, 28, 35 and 42.

L.C.M. of the numbers does not have the factor of 3.

But 21 and 42 are the numbers which have 3 as a factor. So, 21 and 42 will not be the numbers. If 21 and 42 are not the numbers. Then the numbers are 28 and 35.

∴ Sum of the numbers = 28 + 35 = 63.

Question: 5

The traffic lights at three different road crossings change after 24 seconds, 36 seconds and 54 seconds respectively. If they, all change simultaneously at 10:15:00 am, then at what time will they again change simultaneously?

(A) 10:16:54 am

(B) 10:17:02 am

(C) 10:18:36 am

(D) 10:22:12 am

Ans: C

L.C.M. of 24 seconds, 36 seconds and 54 seconds

= 216 seconds = 3 min 36 seconds

Required time = 10:18:36 am

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