Rationale: I will go with D (pending elements to match is 2^2*3^2*10^1 = 360
The answer: (D)
Question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 360
(E) 484
Reasoning: D = 110 + 150 = 260
S = 36 * 5/18 = 10 mps
T = 260/10 = 26 sec
Ans: (E)
Question: How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 28 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec
Rationale: Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (690 – 150) = 540
∴ Average price of a pen = 540⁄60 = 18
The answer: (C)
Question: 30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 18
(D) 13
(E) 14
Reasoning: Divisibility rule of 6: Number must be divisible by both 2 and 3
Option A: 10032, Divisible by 2. Hence divisible by 6
Option B: 21192, Divisible by 2 & 3. Hence divisible by 6
Option C: 47816, Divisible by 2. Hence divisible by 6
Option D: 91232, Divisible by 2. Hence divisible by 6
Option E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6
Ans: (E)
Question: Which of the following is not divisible by 6?
Options:
(A) 10032
(B) 21192
(C) 47816
(D) 91232
(E) 72031
Rationale: Area of an equilateral triangle = âˆš3/4 S2
If S = 12, Area of triangle = âˆš3/4 * 12 * 12 = 36âˆš3 cm2;
The answer: (A)
Question: What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 36âˆš3 cm2
(B) 74âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2
Rationale: D = 72 * 5/18 = 40 = 800 â€“ 250 = 450m
The answer: (A)

Question: A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?
Options:
(A) 450m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m
Rationale: I will go with D (pending elements to match is 2^2*3^2*10^1 = 360
The answer: (D)
Question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 360
(E) 484
Reasoning: D = 110 + 150 = 260
S = 36 * 5/18 = 10 mps
T = 260/10 = 26 sec
Ans: (E)
Question: How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 28 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec
Rationale: Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (690 – 150) = 540
∴ Average price of a pen = 540⁄60 = 18
The answer: (C)
Question: 30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 18
(D) 13
(E) 14
Reasoning: Divisibility rule of 6: Number must be divisible by both 2 and 3
Option A: 10032, Divisible by 2. Hence divisible by 6
Option B: 21192, Divisible by 2 & 3. Hence divisible by 6
Option C: 47816, Divisible by 2. Hence divisible by 6
Option D: 91232, Divisible by 2. Hence divisible by 6
Option E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6
Ans: (E)
Question: Which of the following is not divisible by 6?
Options:
(A) 10032
(B) 21192
(C) 47816
(D) 91232
(E) 72031
Rationale: Area of an equilateral triangle = âˆš3/4 S2
If S = 12, Area of triangle = âˆš3/4 * 12 * 12 = 36âˆš3 cm2;
The answer: (A)
Question: What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 36âˆš3 cm2
(B) 74âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2
Rationale: D = 72 * 5/18 = 40 = 800 â€“ 250 = 450m
The answer: (A)

user
Question: A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?
Options:
(A) 450m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m
assistant
Rationale: I will go with D (pending elements to match is 2^2*3^2*10^1 = 360
The answer: (D)
Question: If 2^4, 3^3, and 10^3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Options:
(A) 198
(B) 288
(C) 363
(D) 360
(E) 484
Reasoning: D = 110 + 150 = 260
S = 36 * 5/18 = 10 mps
T = 260/10 = 26 sec
Ans: (E)
Question: How many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Options:
(A) 28 sec
(B) 23 sec
(C) 24 sec
(D) 25 sec
(E) 26 sec
Rationale: Since average price of a pencil = 2
∴ Price of 75 pencils = 150
∴ Price of 30 pens = (690 – 150) = 540
∴ Average price of a pen = 540⁄60 = 18
The answer: (C)
Question: 30 pens and 75 pencils were purchased for 690. If the average price of a pencil was 2.00, find the average price of a pen.
Options:
(A) 10
(B) 11
(C) 18
(D) 13
(E) 14
Reasoning: Divisibility rule of 6: Number must be divisible by both 2 and 3
Option A: 10032, Divisible by 2. Hence divisible by 6
Option B: 21192, Divisible by 2 & 3. Hence divisible by 6
Option C: 47816, Divisible by 2. Hence divisible by 6
Option D: 91232, Divisible by 2. Hence divisible by 6
Option E: 72031, Not divisible by 2 or 3. Hence 72031 is not divisible by 6
Ans: (E)
Question: Which of the following is not divisible by 6?
Options:
(A) 10032
(B) 21192
(C) 47816
(D) 91232
(E) 72031
Rationale: Area of an equilateral triangle = âˆš3/4 S2
If S = 12, Area of triangle = âˆš3/4 * 12 * 12 = 36âˆš3 cm2;
The answer: (A)
Question: What is the are of an equilateral triangle of side 12 cm?
Options:
(A) 36âˆš3 cm2
(B) 74âˆš3 cm2
(C) 64âˆš3 cm2
(D) 64âˆš5 cm2
(E) 14âˆš3 cm2
Rationale: D = 72 * 5/18 = 40 = 800 â€“ 250 = 450m
The answer: (A)

Question: A train 250 m long running at 72 kmph crosses a platform in 40 sec. What is the length of the platform?
Options:
(A) 450m
(B) 200m
(C) 250m
(D) 270m
(E) 300 m