1000+ Ethiopian Bank Interview Questions and Answers Pdf - 2
Question: 6
What is the H.C.F. of $${4}/{9}$$, $${10}/{21}$$ and $${20}/{63}$$?
(A) $${2}/{63}$$
(B) $${4}/{189}$$
(C) $${6}/{23}$$
(D) $${8}/{123}$$
Ans: A
H.C.F. of $${4}/{9}$$, $${10}/{21}$$ and $${20}/{63}$$
= $${H.C.F. of 4, 10 and 20} / {L.C.M. of 9, 21 and 63}$$
∴ H.C.F. of 4, 10 and 20 = 2
and L.C.M. of 9, 21 and 63 = 63.
∴ Required H.C.F. = $${2}/{63}$$.
Question: 7
The numbers 12284 and 8655 when divided by a certain number of three digits, leave the same remainder. Find that number of three digits.
(A) 171
(B) 191
(C) 201
(D) 211
Ans: B
The required number must be a factor of (12284 - 8655) or 3629.
3629 = 19 × 191
∴ 191 is the required number.
Question: 8
The least number of square tiles required to cover the ceiling of a room 15 m 17 cm long and 9 m 2 cm broad is
(A) 556
(B) 656
(C) 738
(D) 814
Ans: D
Side of each tile = (H.C.F. of 1517 and 902) cm = 41 cm.
∴ Number of tiles = $${1517 × 902} / {41 × 41}$$ = 814.
Question: 9
The L.C.M. of two numbers is 1820 and their H.C.F. is 26. If one number is 130 then the other number is
(A) 70
(B) 364
(C) 1264
(D) 1690
Ans: B
Required number = $${1820 × 26} / {130}$$ = 364.
Question: 10
Seema, Meena and Reena start jogging around a circular stadium and complete one round in 54 seconds, 42 seconds and 63 seconds respectively. Approximately after how many minutes they will meet again at the starting point?
(A) 3
(B) 6
(C) 8
(D) 10
Ans: B
L.C.M. of 54, 42, 63 = 378 seconds
$${378} / {60}$$ ≈ 6.3 minutes ≈ 6 minutes.
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