Reasoning: N ends in the digit 1 because when N is divided by 10, the remainder is 1. Since N ends in 1, the remainder K when N is divided by 30 also ends in a 1. 11 is the only choice which ends in a 1.
Ans: (C)
Question: When N is divided by 10 the remainder is 1 and when N is divided by 3 the remainder is 2. What is the remainder K when N is divided by 30?
Options:
(A) (a) 4
(B) (b) 7
(C) (c) 11
(D) (d) 13
(E) (e) 17
Rationale: The length of cloth painted by one man in one day = 48 / 4 2 = 6 m
No. of days required to paint 36 m cloth by 6 men = 36/ 6 6 = 1 day.
The answer: (B)
Question: If 4 men can color 48 m long cloth in 2 days, then 6 men can color 36 m long cloth in
Options:
(A) 2 days
(B) 1 day
(C) 3 days
(D) 4 days
(E) 5 days
Reasoning: Required probability = 1 - 1/126 = 125/126
Ans: (C)
Question: A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that atleast one bulb is good.
Options:
(A) 125/127
(B) 127/125
(C) 125/126
(D) 126/125
(E) 126/127
Rationale: Sum of thier ages is 70 in ratio 4:3
So 40+30 gives us 70. Wich is 4:3 so, older guy is having 40.
The answer: (C)
Question: If the ratio of ages of two friends is 4:3 and sum of their ages is 70 years then what is the age of older friend?
Options:
(A) 30 years
(B) 35 years
(C) 40 years
(D) 25 years
(E) 45 years
Reasoning: Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8.
Ans: (C)
Question: The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students?
Options:
(A) 2
(B) 5
(C) 8
(D) 9
(E) 10
Reasoning: The worst scenario is when she takes 9 red and 4 green, total of 13 jellybeans, and still doesn't have 3 distinct colors. But the next draw (14th) will surely be the third color jellybean (blue) as there is no other color jellybeans left in pocket.
Ans: (D)
Question: Grace has 17 jellybeans in her pocket. She has 9 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?
Options:
(A) 4
(B) 8
(C) 12
(D) 14
(E) 16