question: Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(E) 1
answer: Stream of consciousness: 1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2 The answer is (B).


q: The average age of P, Q, R, S five years ago was 45 years. By including T, the present average age of all the five is 49 years. The present age of T is?
Options:
(A) 64 years
(B) 48 years
(C) 45 years
(D) 40 years
(E) None of these
a: Stream of consciousness: Present age of P, Q, R, S = 45 x 4 + 20 = 200
Present age of P, Q, R, S and T = 49 x 5 = 245
Hence, the age of T = 245 - 200 = 45 years. The answer is (C).


question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/18
(B) 180/15
(C) 180/13
(D) 180/12
(E) 180/11
answer: Stream of consciousness: One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days. The answer is (C).


q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2560
(B) 3400
(C) 3690
(D) 4500
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).


question: A football field is 8400 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards?
Options:
(A) 450
(B) 600
(C) 500
(D) 2400
(E) 3200
answer: Stream of consciousness: Answer A) 4800 yards need 1200 lbs
1 Yard will need 1200/8400 = 1/7 lbs
3600 Yards will need 1/7* 3500 Yards = 500lbs The answer is (C).


question: The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 30
(E) 42
answer:
Stream of consciousness: 90 * 20/60 = 30 kmph The answer is (D).
question: Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(E) 1
answer: Stream of consciousness: 1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2 The answer is (B).


q: The average age of P, Q, R, S five years ago was 45 years. By including T, the present average age of all the five is 49 years. The present age of T is?
Options:
(A) 64 years
(B) 48 years
(C) 45 years
(D) 40 years
(E) None of these
a: Stream of consciousness: Present age of P, Q, R, S = 45 x 4 + 20 = 200
Present age of P, Q, R, S and T = 49 x 5 = 245
Hence, the age of T = 245 - 200 = 45 years. The answer is (C).


question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/18
(B) 180/15
(C) 180/13
(D) 180/12
(E) 180/11
answer: Stream of consciousness: One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days. The answer is (C).


q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2560
(B) 3400
(C) 3690
(D) 4500
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).


question: A football field is 8400 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards?
Options:
(A) 450
(B) 600
(C) 500
(D) 2400
(E) 3200
answer: Stream of consciousness: Answer A) 4800 yards need 1200 lbs
1 Yard will need 1200/8400 = 1/7 lbs
3600 Yards will need 1/7* 3500 Yards = 500lbs The answer is (C).


question: The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 30
(E) 42
answer:
user
Stream of consciousness: 90 * 20/60 = 30 kmph The answer is (D).
assistant
question: Solve below question 6x - 1 = -13
Options:
(A) -8
(B) -2
(C) -5
(D) -4
(E) 1
answer: Stream of consciousness: 1. Subtract 1 from both sides: 6x - 1 + 1 = -13 + 1 2. Simplify both sides: 6x = -12 3. Divide both sides by 6: 4. Simplify both sides: x = -2 The answer is (B).


q: The average age of P, Q, R, S five years ago was 45 years. By including T, the present average age of all the five is 49 years. The present age of T is?
Options:
(A) 64 years
(B) 48 years
(C) 45 years
(D) 40 years
(E) None of these
a: Stream of consciousness: Present age of P, Q, R, S = 45 x 4 + 20 = 200
Present age of P, Q, R, S and T = 49 x 5 = 245
Hence, the age of T = 245 - 200 = 45 years. The answer is (C).


question: A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Options:
(A) 180/18
(B) 180/15
(C) 180/13
(D) 180/12
(E) 180/11
answer: Stream of consciousness: One day work of A and B = 1/12
One day work of B and C = 1/30
One day work of C and A = 1/36
2(A + B + C) = 1/12 + 1/30 + 1/36
2(A + B + C) = 13/90
(A + B + C) = 13/180
Number of days required = 180/13 days. The answer is (C).


q: Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Options:
(A) 2560
(B) 3400
(C) 3690
(D) 4500
(E) 5184
a: Stream of consciousness: Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184
432 12 x 62 The answer is (E).


question: A football field is 8400 square yards. If 1200 pounds of fertilizer are spread evenly across the entire field, how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards?
Options:
(A) 450
(B) 600
(C) 500
(D) 2400
(E) 3200
answer: Stream of consciousness: Answer A) 4800 yards need 1200 lbs
1 Yard will need 1200/8400 = 1/7 lbs
3600 Yards will need 1/7* 3500 Yards = 500lbs The answer is (C).


question: The speed of a train is 90 kmph. What is the distance covered by it in 20 minutes?
Options:
(A) 15
(B) 66
(C) 77
(D) 30
(E) 42
answer:
Stream of consciousness: 90 * 20/60 = 30 kmph The answer is (D).