Question: If 49 of 310 of 58 of a number is 45, what is the number?
Options:
(A) 450
(B) 550
(C) 560
(D) 650
(E) None of these
Answer: Number = 459108/435540
The answer is (E).

Question: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2460?
Options:
(A) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.750
(B) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.759
(C) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.758
(D) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.752
(E) Ram = Rs.1500, Shyam = Rs.1000, Mohan = Rs.122
Answer: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
The answer is (A).

Question: A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?
Options:
(A) 75 m
(B) 180 m
(C) 324 m
(D) Cannot be determined
(E) None of these
Answer: Speed = 30 * 5/18 = 25/3 m/sec
Length of the train = speed * time = 25/3 * 9 = 75 m
The answer is (A).

Question: What is the are of an equilateral triangle of side 20 cm?
Options:
(A) 645
(B) 649
(C) 644
(D) 643
(E) 1003
Answer:
Area of an equilateral triangle = 3/4 S2
If S = 20, Area of triangle = 3/4 * 20 * 20 = 1003 cm2;
The answer is (E).