question: In how many different ways can the letters of the word "NEGLIGENCE" be rearrangement?
Options:
(A) 3628800
(B) 3628800
(C) 3628812
(D) 3428800
(E) 3368800
answer: Stream of consciousness: Option 'B'
The total number of arrangements is
10P10 = 10! = 3628800 The answer is (B).


q: A boy runs 200 metres in 36 seconds. What is his speed ?
Options:
(A) 20 km/hr
(B) 24 km/hr
(C) 30 km/hr
(D) 32 km/hr
(E) 34 km/hr
a: Stream of consciousness: 200/36 * 18/5 = 20 km/hr The answer is (A).


question: In a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. The dividend is:
Options:
(A) 72
(B) 76
(C) 100
(D) 113
(E) 112
answer: Stream of consciousness: Diver = (5*3)+3 = 18
3* Quotient = 18
Quotient = 6
Dividend = (Divisor * Quotient) + Remainder
Dividend = (18* 6) + 5 = 113 The answer is (D).


q: Find the amount on Rs.8000 in 9 months at 20% per annum, if the interest being compounded quarterly?
Options:
(A) 9261
(B) 1261
(C) 9621
(D) 9162
(E) 5000
a: Stream of consciousness: A = 8000(21/20)3 = 9261 The answer is (A).


question: Solve below question 4x + 1 = 37
Options:
(A) -8
(B) -9
(C) -5
(D) 9
(E) 1
answer: Stream of consciousness: 1. Subtract 1 from both sides: 4x + 1 - 1 = 37 - 1 2. Simplify both sides: 4x = 36 3. Divide both sides by 4: 4. Simplify both sides: x = 9 The answer is (D).


question: The compound ratio of 2/3, 6/7, 1/3 and 1/8 is given by?
Options:
(A) 1/48
(B) 1/42
(C) 1/46
(D) 1/47
(E) 1/43
answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Stream of consciousness: 2/3 * 6/7 * 1/3 * 1/8 = 1/42 The answer is (B).