51. At what time between 3 and 4 o'clock the hands are in opposite direction?
Answer: 49 1/11 min past 3
Explanation:At 3 o'clock the minutes hand will be 15 min away from hours hand both hands are opposite when they are 30 minutes away from each other
so,min hand has to gain 45 mins
to gain 1 min minute hand 12/11 min. = 45*12/11= 49 1/11
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Tech Mahindra
52. Rohan ranked eleventh from the top and twenty-seventh from the bottom among the students who passed the annual examination in a class. If the number of students who failed in the examination was 12. How many students appeared for the examination?
Answer: 49
Explanation:From top he is in 11 position and from bottom he is in 27.
So no of persons passed the exam in a class is 37
No of persons failed is 12.
So total in the class is 49
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Tech Mahindra
53. How many numbers amongst the numbers 7 to 41 are there which are exactly divisible by 9 but not by 3?
Answer: More than 3
Explanation:9,18,27,36,45 are numbers which are exactly divisible by 9
and all numbers are also divisible by 3
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Tech Mahindra
54. A and B enter into a partnership and invest Rs. 12,000 and Rs. 16,000 respectively. After 8 months, C also joins the business with a capital of Rs. 15,000. The share of C in a profit of Rs. 45,600 after two years is:
Answer: Rs. 12,000
Explanation:For 2 years
A = (24 * 12000) = 28800
B = (24 * 16000) = 38400
C = (16 * 15000) = 24000
Profit share of C is = (24000/91200)*45000 = 12000
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Tech Mahindra
55. If shares of two persons in profits are Rs.400 and Rs.600 then ratio of their capitals is
Answer: 2:3
Explanation:Total Profit= Rs. 1000
Ratio=400/600=2:3
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Tech Mahindra
56. A boy is born when his father is 27 years old. How old will he be when he is exactly half his fathers' age?
Answer: 27 Years.
Explanation:After 27 years sons age will be 27 years
and his fathers age will be 54
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Tech Mahindra
57. Mahesh and suresh are ranked 31th and 32th respectively form the top in a class of 41 Students. What will be their respective ranks from the bottom ?
Answer: 10th and 11th
Explanation:Rank of a person from lower or right end = (Total number of persons in row) - (Rank of that person from upper or left end) + 1
So, 41-31+1=11 & 41-32+1=10
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Tech Mahindra
58. If the compound interest on a sum of Rs.5000 at the rate of 10% per annum is Rs.1050, then time period is (Interest compounded yearly):
Answer: 2 Years
Explanation:C.I of 5000 at 10% interest for x years is 6050 = Rs. 1050
6050 = 5000 ( 1 + 10/100)^n => 6050/5000 = (11/10)^n
=> 605/500 = (11/10)^n => n = 2 years.
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Tech Mahindra
59. When I was born, my mother was 23 years of age. After 6 years, when my sister was born, my father was 34 years of age. what is the difference between the ages of my parents?
Answer: 5 years
Explanation:When Son age = 0 year (born) ,Mother age was = 23 years.
After 6 years
Son=6 years,Mother age= (23+6)=29 years, and Father age = 34 years.
So difference between ages of Mother & Father = (34-29) = 5 years.
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Tech Mahindra
60. If A and B get profits of Rs. 6,000 and Rs. 4,000 respectively at the end of year then ratio of their investments are
Answer: 3:2
Explanation:Ratio of investment for 12 months of A and B = 6000*12 : 4000*12 = 6:4 = 3:2
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Tech Mahindra
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