Rationale: If the number is divisible by 9, it must also be divisible by 3. Only 3 yields such a number.
The answer: (B)
Question: The number N is 5,3H7, where H represents the ten's digit. If N is divisible by 9, what is the value of H?
Options:
(A) 4
(B) 3
(C) 5
(D) 8
(E) 2
Reasoning: 650 = 2*222 + (22*9) + 4*2
K weight of 600 = 2 +9+2 = 13
Ans: (D)
Question: K-numbers are positive integers with only 2's as their digits. For example, 2, 22, and 222 are K-numbers. The K-weight of a number n is the minimum number of K-numbers that must be added together to equal n. For example, the K-weight of 50 is 5, because 50 = 22 + 22 + 2 + 2 + 2. What is the K-weight of 650?
Options:
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14
Rationale: S = 600/40 = 15 mps
S = 3600/15 = 240 sec = 4 min
The answer: (A)
Question: A 600 meter long train crosses a signal post in 40 seconds. How long will it take to cross a 3 kilometer long bridge, at the same speed?
Options:
(A) 4 min
(B) 5 min
(C) 6 min
(D) 8 min
(E) 10 min
Reasoning: 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).
Ans: (D)
Question: The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?
Options:
(A) 17
(B) 16
(C) 17
(D) 19
(E) 62
Rationale: Largest 6 digit number is 999999
After doing 999999 88 we get remainder 55
Hence largest 6 digit number exactly divisible by 88 = 999999 - 55 = 999944
The answer: (C)
Question: Find the largest 6 digit number which is exactly divisible by 88?
Options:
(A) 998765
(B) 998907
(C) 999944
(D) 999954
(E) 999990
Rationale: (3000 * 2 * 5)/60 = 4500 M3
The answer: (A)
Question: A river 2m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Options:
(A) 4500 M3
(B) 27000 M3
(C) 3000 M3
(D) 2700 M3
(E) 3700 M3