Reasoning: T = 288/32 = 9 h
T = 9 - 3 = 6
Time Ratio = 9:6 = 3:2
Speed Ratio = 2:3
Ans: (D)
Question: A motorcyclist goes from Bombay to Pune, a distance of 288 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 hours after the first, and reaches Pune hour earlier. What is the ratio of the speed of the motorcycle and the car?
Options:
(A) 1:2
(B) 1:5
(C) 1:4
(D) 2:3
(E) 1:8
Rationale: S = (100 + 300)/45 = 400/45 * 18/5 = 32
The answer: (A)
Question: A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is?
Options:
(A) 32
(B) 28
(C) 299
(D) 277
(E) 21
Reasoning: Number of newborns that can die in first month = 1/10 * 400 = 40
Survived = 360
Number of newborns that can die in second month = 1/10 * 360 = 36
Survived = 324
Number of newborns that can die in third month = 1/10 * 324 = 32
Survived = 292
Ans: (D)
Question: In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Options:
(A) 240
(B) 246
(C) 252
(D) 292
(E) 298
Rationale: 31. only the perfect squares between 1 to 1k
The answer: (B)
Question: There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes the doors in the multiples of 1 i.e., he opens and closes all the doors. when the second goes he opens and closes the doors 2, 4 6 8 respectively. Similarly when the third one goes he does this for 3 6 9 12 15th doors respectively. Find number of doors that are open at last.
Options:
(A) 29
(B) 31
(C) 32
(D) 24
(E) 21
Reasoning: Area of a parallelogram = base * height = 24 * 16 = 384 cm2
Ans: (A)
Question: Find the area of a parallelogram with base 24 cm and height 16 cm.
Options:
(A) 384 cm^2
(B) 200 cm^2
(C) 250 cm^2
(D) 350 cm^2
(E) 400 cm^2
Reasoning: 1/2:1/3:1/4 = 6:4:3
Ram = 6/13 * 3250 = 1500
Shyam = 4/13 * 3250 = 1000
Mohan = 3/13 * 3250 = 750
Ans: (A)
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