Reasoning: 224 + 43 = 267/17 = 12 (Remainder)
Ans: (E)
Question: A no.when divided by 224 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Options:
(A) 2
(B) 7
(C) 9
(D) 11
(E) 12
Rationale: Final number = Initial number + 30%(original number) = 110 + 30%(110) = 110 + 33 = 143.
The answer: (A)
Question: A light has a rating of 110 watts, it is replaced with a new light that has 30% higher wattage. How many watts does the new light have?
Options:
(A) 143
(B) 145
(C) 156
(D) 134
(E) 100
Reasoning: Fix the third coin as H. The remaining 19 coins have 2^19 outcomes.
Ans: (A)
Question: Twenty coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?
Options:
(A) 2^19
(B) 2^10
(C) 3 * 2^8
(D) 3 * 2^9
(E) 3 * 2^10
Rationale: It is clear that 22 x 47 = 10 x 55 + K + 11 x 40 K = 44
The answer: (B)
Question: The average mark obtained by 22 candidates in an examination is 47. The average of the first ten is 55 while the last eleven is 40 .The marks obtained by the 11th candidate is ?
Options:
(A) 22
(B) 44
(C) 49
(D) 68
(E) 76
Reasoning: D = 60 * 5/18 = 35 = 583 120 = 463
Ans: (C)
Question: A train 120 m long running at 60 kmph crosses a platform in 35 sec. What is the length of the platform?
Options:
(A) 338
(B) 277
(C) 463
(D) 456
(E) 271
Reasoning: We need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2, 3, 4, 5, and 6. The least common multiple of these numbers is 60. So, we need a multiple of 7 that is 1 greater than a multiple of 60.
Ans: (B)
Question: There are seven thieves. They stole diamonds from a diamond merchant and ran away. While running, night sets in and they decide to rest in the jungle.
When everybody was sleeping, two of them woke up and decided to divide the diamonds equally among themselves. But when they divided the diamonds equally, one diamond is left.
So they woke up the 3rd thief and tried to divide the diamonds equally again but still one diamond was left. Then they woke up the 4th thief to divide the diamonds equally again, and again one diamond was left. This happened with the 5th and 6th thief one diamond was still left.
Finally, they woke up the 7th thief and this time the diamonds were divided equally.
How many diamonds did they steal in total?
Options:
(A) 2397
(B) 2401
(C) 2411
(D) 2423
(E) None of the above