1000+ Ethiopian Bank Entrance Exam Papers with Answers Pdf - 1

Question: 1

The average weight of 3 men A, B and C is 84 Kg. Another man, D, joins the group, and the average weight becomes 80 Kg. If another man E, whose weight is 3 Kg more than that of D, replace A, then average weight of B, C, D and E becomes 79 Kg. The weight of A is

(A) 70 Kg

(B) 75 Kg

(C) 80 Kg

(D) 85 Kg

Ans: B

Weight of D = (80 × 4 - 84 × 3) Kg = 68 Kg

Weight of E = (68 + 3) kg = 71 Kg

(B + C + D + E)’s weight = (79 × 4) Kg = 316 Kg

∴ (B + C)’s weight = [316 – (68 + 71)] Kg = 177 Kg

Hence, A’s weight = [(84 × 3) - 177] Kg = 75 Kg.

Question: 2

The average of 13 results is 50. If the average of first 7 results is 52 and that of last 7 results is 49, find the 7th result.

(A) 52

(B) 52

(C) 57

(D) 59

Ans: C

Average of 13 results = 50

Average of first 7 results = 52

Average of last 7 results = 49

∴ The 7th result = 7 × 52 + 7 × 49 - 13 × 50 = 57.

Question: 3

The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly.

(A) 28.32

(B) 28.78

(C) 29.68

(D) 29.78

Ans: C

The sum of 50 numbers = 50 × 30 = 1500

Discarding 35 and 40, we get

Average of remaining 48 numbers = $${1500 - 35 - 40}/{48}$$

= $${1500 - 75}/{48}$$ = $${1425}/{48}$$ = 29.68.

Question: 4

Average of 11 results is 65. If the average of first six results is 63 and the last six results is 67, find the sixth result.

(A) 45

(B) 55

(C) 65

(D) 70

Ans: C

Sixth result = (6 × 63 + 6 × 67 - 11 × 65) = 378 + 402 – 715 = 65

Question: 5

The average weight of 5 persons, sitting in a boat, is 38 kg. If the average weight of the boat and the persons sitting in the boat is 52 kg. What is the weight of the boat?

(A) 122 kg

(B) 228 kg

(C) 232 kg

(D) 242 kg

Ans: A

Average weight of 5 persons = 38 kg

∴ Total weight of these five person = 38 × 5 = 190 Kg

Now, average weight of the boat + 5 persons = 52 kg

∴ Total weight of the boat + 5 persons = 52 × 6 = 312 Kg

∴ Weight of the boat = 312 - 190 = 122 Kg

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