q: A no. when divided by the sum of 555 and 445 gives 2times their difference as quotient & 30 as remainder. Find the no. is?
Options:
(A) 125786
(B) 158799
(C) 564323
(D) 344567
(E) 220030
a: (555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 The answer is (E).
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q: A number is 101102103104...150. As 101 102 103 103.... 150. What is reminder when divided by 3?
Options:
(A) 2
(B) 5
(C) 6
(D) 7
(E) 8
a: Divisibility rule for 3 also same as 9. so from the above discussion sum of the digits = 380 and remainder = 380/3 = 2. The answer is (A).
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q: A person travels at a speed of 10 mph from one city to another. However while returning as there was not much traffic. He came with a speed of 15mph. what is his average speed?
Options:
(A) 10Kmph
(B) 11Kmph
(C) 12Kmph
(D) 13Kmph
(E) 14Kmph
a: Average speed = 2xy/(x+y) = (2*15*10)/25 = 12Kmph The answer is (C).
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q: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 22
(B) 28
(C) 29
(D) 20
(E) 21
a:
Average of 20 numbers = 0
Sum of 20 numbers = (0 * 20) = 0
It is quite possible that 19 of these numbers may be positive and if their sum is a, then 20th number is (-a). The answer is (D).
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