q: A farm used two harvesting machines, H and K, to harvest 100 acres of wheat. Harvesting machine H, working alone at its constant rate, harvested 40 acres of wheat in 8 hours. Then harvesting machine K was brought in, and harvesting machines H and K, working together at their respective constant rates, harvested the remaining acres of wheat in 6 hours. Harvesting machine K harvested how many acres of wheat per hour?
Options:
(A) 4
(B) 8
(C) 12
(D) 13
(E) 15
a: Rate of H = 6 acres/hr
Remaining land to be harvested = 100 - 40 = 60
Rate of H and K = 60/6 = 10 acres/hr
Rate of K = 10 - 6 = 4 The answer is (A).
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q: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4
(B) 7
(C) 6
(D) 8
(E) 9
a: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min The answer is (A).
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q: Which of the following is not divisible by 3?
Options:
(A) 10,395
(B) 41,714
(C) 15,354
(D) 30,708
(E) 29,313
a: Divisibility rule of 3: The sum of the digits of the number should be divisible by 3
Option A: 10395, Sum = 18. Divisible by 3
Option B: 41714, Sum = 17, Not divisible by 3. Hence the number 41714 is also not divisible by 3
Option C: 15354, Sum = 18, Divisible by 3
Option D: 30708, Sum = 18, Divisible by 3
Option E: 29313, Sum = 18, Divisible by 3 The answer is (B).
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q: Every year an amount increases by 1/8th of itself. How much will it be after two years if its present value is Rs.64000?
Options:
(A) Rs.81000
(B) Rs.80000
(C) Rs.75000
(D) Rs.64000
(E) Rs.68000
a:
64000* 9/8 * 9/8 = 81000 The answer is (A).
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