If 5 spiders can catch five flies in five minutes, how many flies can hundred spiders catch in 100 minutes?
Options:
(A) 100
(B) 1000
(C) 500
(D) 2000
(E) None

5 5 x = 100 100 5 x = 2000. So the answer is: (D).

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) 122456
(B) 145778
(C) 456678
(D) 235467
(E) 220030

(555 + 445) * 2 * 110 + 30 = 220000 + 30 = 220030 So the answer is: (E).

If 10x = 8y = 14z, then what is a possible sum of positive integers x, y, and z?
Options:
(A) 52
(B) 166
(C) 84
(D) 122
(E) 168

10x = 8y = 14z
5x = 4y = 7z
5(4*7) = 4(5*7) = 7(5*4)
Addition = 28+20+35 = 83
Answer would be multiple of 83 which is 166 So the answer is: (B).

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?
Options:
(A) 1/8
(B) 1/4
(C) 1/16
(D) 1/2
(E) 1/32
Must be either 4 tails or 4 heads
1/2*1/2*1/2*1/2+1/2*1/2*1/2*1/2
1/16 + 1/16 = 1/8 So the answer is: (A).