Rationale: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62
The answer: (E)
Question: Find the value of y from (12)^3 x 6^4 432 = y?
Options:
(A) 2354
(B) 2644
(C) 2645
(D) 4577
(E) 5184
Reasoning: 1 man's 1 day work = 1/100
(10 men + 15 women)'s 1 day work = 1/4
15 women's 1 day work = (1/4 - 10/100) = 3/20
1 woman's 1 day work = 1/100
1 woman alone can complete the work in 100 days.
Ans: (A)
Question: 10 men and 15 women together can complete a work in 4 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work?
Options:
(A) 100 days
(B) 667 days
(C) 177 days
(D) 187 days
(E) 225 days
Rationale: 315is divisible by 3 which is odd number where as all others are even numbers divisible by 3.
The answer: (C)
Question: Find the odd man out
36, 315, 612, 810, 966, 1362
Options:
(A) 966
(B) 612
(C) 315
(D) 36
(E) 1362
Reasoning: X * (85/100) = 85000
X = 1000 * 100
X = 100000
Ans: (C)
Question: 85% of the population of a city is 85000. The total population of the city is?
Options:
(A) 95000
(B) 97500
(C) 100000
(D) 105000
(E) 102500
Rationale: Vowel: E O
Consonants: V R M N T
First letter can be filled in 5 Ways ( As the question states that first letter has to be a consonant)
Fifth letter can be filled in 4 Ways ( As the question states that the last letter has to be a consonant)
Now since each letter can be used only once, and 2 letters out of 7 letters are already used in First and Fifth letter
Second letter can be filled in 5 Ways
Third letter can be filled in 4 Ways
Fourth letter can be filled in 3 Ways
So, Total number of ways = 5 Ways x 5 Ways x 4 ways x 3 ways x 5 ways = 1500
The answer: (C)
Question: How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a consonant and the last letter has to be a consonant, and each letter can be used only once?
Options:
(A) 21
(B) 42
(C) 1500
(D) 600
(E) 720
Rationale: 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: (B)
Question: 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