q: The average of seven numbers is 18. The average of first three numbers is 14 and the average of last three numbers is 19. What is the middle number?
Options:
(A) 26
(B) 27
(C) 29
(D) 32
(E) 36
a: The total of seven numbers = 7X18 = 126
The total of first 3 and last 3 numbers is = 3 X 14+3 X 19 = 99
So, the middle number is (126 - 99 ) = 27 The answer is (B).
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q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 70 as remainder. Find the no. is?
Options:
(A) 145646
(B) 236578
(C) 645353
(D) 456546
(E) 220070
a: (555 + 445) * 2 * 110 + 70 = 220000 + 70 = 220070 The answer is (E).
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q: How many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 22 sec
(B) 35 sec
(C) 25 sec
(D) 18 sec
(E) 17 sec
a: D = 200 + 150 = 350
S = 36 * 5/18 = 10 mps
T = 350/10 = 35 sec The answer is (B).
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q: A person spends 1/3rd of the money with him on clothes, 1/5th of the remaining on food and 1/4th of the remaining on travel. Now, he is left with Rs 500. How much did he have with him in the beginning?
Options:
(A) s 200
(B) s 1250
(C) s 300
(D) s 450
(E) s 550
a:
Suppose the amount in the beginning was Rs 'x'
Money spent on clothes = Rs 1x/3 Balance = Rs 2x/3
Money spent on food = 1/5 of 2x/3 = Rs 2x/15
Balance = 2x/3 - 2x/15 = Rs 8x/15
Money spent on travel = 1/4 of 8x/15 = Rs 2x/15 = 8x/15 - 2x/15 = 6x/15 = Rs2x/5
Therefore 2x/5 = 500 = 1250 The answer is (B).
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