q: Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?
Options:
(A) 27
(B) 16
(C) 38
(D) 61
(E) 83
a: Stream of consciousness: Using the elimination method the option that fits this description is 27
7-2 = 5 (unit's digit that exceeds its ten's digit by 3)
27*9 = 243 (the product of the given number and the sum of its digits is equal to 175) The answer is (A).

question: There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?
Options:
(A) 5
(B) 7
(C) 11
(D) 13
(E) 15
answer: Stream of consciousness: (385/1001) = 5/13 First Number is 5 The answer is (A).

q: Maximum no of unsuccessful attempts, a thief can do in order to break a number locking system of 4 digits.
Options:
(A) 9988
(B) 9999
(C) 9799
(D) 9685
(E) 6545
a: Stream of consciousness: From 0 to 9999 there are 10000 four digit numbers
So maximum number of unsuccessful attempts = 10000 - 1 = 9999 The answer is (B).

question: The average of thirteen numbers is 9. The average of first six numbers is 5 and the average of last six numbers is 7. What is the middle number?
Options:
(A) 47
(B) 45
(C) 25
(D) 37
(E) 44
answer: Stream of consciousness: The total of thirteen numbers = 13X9 = 117
The total of first 6 and last 6 numbers is = 6 X 5+6 X 7 = 72
So, the middle number is (117 - 72 ) = 45 The answer is (B).

q: If 10 crates have 97 apples each and how many apples more is required in order to make 100 apples in each crate?
Options:
(A) 30
(B) 10
(C) 15
(D) 20
(E) 0
a: Stream of consciousness: Each crate requires 3 apples and totally there are 10 crates so required apples = 10 * 3 = 30 The answer is (A).

q: 80 370 860 ? 2440 3530
Options:
(A) 900
(B) 840
(C) 750
(D) 860
(E) 1550
a:
Stream of consciousness: 10^2 - 20 = 80
20^2 - 30 = 370
30^2 - 40 = 860
40^2 - 50 = 1550
50^2 - 60 = 2440
60^2 - 70 = 3530. The answer is (E).