31. How many times in a day, are the hands of a clock in straight line but opposite in direction?
Answer: 22
Explanation:The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clock only).
So, in a day, the hands point in the opposite directions 22 times.
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Nagarro
32. The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Answer: 20 years
Explanation:Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
=> 54 - x = 5x - 30
=> 6x = 84
=> x = 14.
Son's age after 6 years = (x+ 6) = 20 years..
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Nagarro
33. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
Answer: 48
Explanation:Let the three parts be A, B, C. Then,
A : B = 2 : 3 and B : C = 5 : 8 = 5 * 3/5 : 8 * 3/5 = 3 : 24/5
=> A : B : C = 2 : 3 : 24/5 = 10 : 15 : 24
=> B = 98 x 15/49 = 30.
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Nagarro Global Edge
34. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
Answer: 144 min.
Explanation:Let the slower pipe alone fill the tank in x minutes.
Then, faster pipe will fill it in x/3 minutes.
So, 1/x + 3/x = 1/36
=> 4/x = 1/36
=> x = 144 min.
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Nagarro
35. In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
Answer: 2/7
Explanation:P (getting a prize) = 10/(10 + 25)
=> 10/35 = 2/7
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Nagarro
36. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Answer: 7
Explanation:Let the required number days be x.
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
Spiders 1 : 7 }
> :: 7 : x
Webs 7 : 1 }
1 x 7 x x = 7 x 1 x 7
=> x = 7
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Nagarro
37. A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
Answer: 64%
Explanation:Let the number be x.
Then, error = x*5/3 - x*3/5 = x * 16/15
So Error% = ( x*16/15 * 3/5x * 100)% = 64%.
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Nagarro
38. If A's height is 40% less than that of B, how much percent B's height is more than that of A?
Answer: 66.66%
Explanation:Excess of B's height over A's = [(40/(100 - 40)] x 100%
= 66.66%
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Nagarro
39. From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
Answer: 756
Explanation:We may have (3 men and 2 women) or (4 men and 1 woman) or (5 men only).
Required number of ways = (7C3 * 6C2)+(7C4 * 6C1)+(7C5)
=>[(7*6*5)/(3*2*1) * (6*5)/(2*1)]+(7C3 * 6C1) + (7C2)
=> 525 + [(7*6*5)/(3*2*1)* 6]+[(7*6)/(2*1)]
= (525 + 210 + 21)
= 756
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Nagarro
40. In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
Answer: 120960
Explanation:In the word 'MATHEMATICS', we treat the vowels AEAI as one letter.
Thus, we have MTHMTCS (AEAI).
Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different.
So,Number of ways of arranging these letters = (8!/2!*2!)=10080.
Now, AEAI has 4 letters in which A occurs 2 times and the rest are different.
Number of ways of arranging these letters = (4!/2)=12.
=> Required number of words = (10080 * 12) = 120960.
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Nagarro
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