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31 / 79
How many times in a day, are the hands of a clock in straight line but opposite in direction?
A20
B22
C24
D48
Answer: Option B
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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32 / 79
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:
A12 years
B14 years
C18 years
D20 years
Answer: Option D
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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33 / 79
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:
A20
B30
C48
D58
Answer: Option C
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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34 / 79
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:
A81 min.
B108 min.
C144 min.
D192 min
Answer: Option C
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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35 / 79
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
A1/10
B2/5
C2/7
D5/7
Answer: Option C
Explanation:P (getting a prize) = 10/(10 + 25)
=> 10/35 = 2/7
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36 / 79
If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
A1
B7/2
C7
D49
Answer: Option C
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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37 / 79
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
A34%
B44%
C54%
D64%
Answer: Option D
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%.
TO FIND ERROR 2 STEPS
1) DIFFERENCE = TRUE VALUE- FALSE VALUE I.E, 5/3-3/5=16/5.
2)ERROR % = DIFFERENCE/TRUE VALUE MULTIPLIED BY 100
(16/5)/(5/3) x 100 =16/5 X 3/5 X 100 =64
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38 / 79
If A's height is 40% less than that of B, how much percent B's height is more than that of A?
A66.66%
B76.66%
C96.66%
D86.66%
Answer: Option A
Explanation:Excess of B's height over A's = [(40/(100 - 40)] x 100%
= 66.66%
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39 / 79
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?
A564
B645
C735
D756
Answer: Option D
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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40 / 79
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
A10080
B4989600
C120960
DNone of these
Answer: Option C
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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