Hello and welcome to exampundit. Here is a set of Quantitative Aptitude Quiz for NICL AO Mains 2017.
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1. Answer the following questions in the comment box.
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1.(38416) ^¼+2+(2916)^ ½=?×4
(A) 28
(B) 31
(C) 30.5
(D) 31.5
(E) 32
2.120% of 40+27.5% of 520+33.33%of18=?
(A) 231
(B) 178
(C) 211
(D) 197
(E) 171
3. (29) ² × 91 ÷ 7 + (8) ³ + 61 =(?) 3 + 858
(A) 19
(B) 22
(C) 31
(D) 26
(E) 17
4. (15625) ^1.3 × (3125) ^1.25 ÷ (125) ^2 = 5^?
(A) 7.50
(B) 8.05
(C) 6.00
(D) 8.50
(E) 7.05
5. 2√2×3√ 3×5√ 2×9 √3 = ?
(A) 2160
(B) 2260
(C) 1250
(D) 1260
(E) 1620
6.An urn consists of 3 black, 4 white and 5 blue marbles. Three marbles are drawn randomly. What is the probability that marbles drawn contains marbles of different colour?
(A) 7/11
(B) 3/8
(C) 7/8
(D) 3/11
(E) None of these
7. 4 boys and 6 girls complete a task in 24 days. If the girls are at least half as efficient as the boys, but not more efficient than the boys, what is the range of the number of days for 6 girls and 2 boys to complete the same task?
(A) 28 to 31 days
(B) 29 to 31 days
(C) 33.6 to 35 days
(D) 30 to 33.6 days
(E) none of these
8. A cistern of 475 litres is completely filled using pipes A and B, with Pipe A being open for 5 more hours than pipe B. If we are to interchange the operating hours of the two pipes than pipe A would have pumped half the water as much as pipe B, then find the time for which pipe B was open. Also, given that if the two pipes were open simultaneously the tank would fill in 19 hours.
(A) 10hr
(B) 14hr
(C) 20hr
(D) 16hr
(E) none of these
9. A milkman purchases milk at Rs 20/litre and mixes 4 litres of water in it. By selling the resultant mixture at the rate of Rs 20/litre, he earns a profit of 40%. The amount of mixture he had with him to sell was?
(A) 10l
(B) 8l
(C) 7l
(D) 14l
(E) none of these
10. If 6 years are subtracted from the present age of Anika and the remainder is divided by 1818, then the present age of Radika is obtained. If Radika is 2 years younger to Daizy whose age is 5 years, then what is Anika present age?
(A) 70 years
(B) 45years
(C) 55years
(D) 60years
(E) 47years
Explanations and Answers
1. D
2. D
3. B
4. B
5. E
6. D
P(E)=n(e)/n(s)=4C1×3C1×5C1/12C3=3/11
7. D
4boys and 6girls finish in 24 days.
In one day, 4boys + 6girls = 1/24 of task.
If a girl is half as efficient as boy
4b + 3b = 1/24, 7b = 1/24, b = 1/168
6g + 2b = 3b + 2b = 5b, 5m will take 1685 days = 33.6 days
If a girl is as efficient as a man
4b + 6g finish in 24 days.
10b finish 1/24 of task in a day
6g + 2b = 8b, 8b will take 240/8 = 30 days to finish the task.
So, the range = 30 to 33.6 days. The new team will take 30 to 33.6 days to finish the task
8. D
The 475 litres is filled in 19 hours by the two pipes when they are opened simultaneously.
Therefore, rate of water flow by A and B,
A + B = 47519 = 25 litres/hour………….(1)
Let pipe B was opened for t hours
Then, pipe A was opened for t + 5 hours
A x (t+5) + B x t = 475
(A + B) x t + 5A = 475
25t + 5A = 475
=> 5t + A = 95
Now, using options
t = 16 => 5 x 16 + A = 95 => A = 15
9. D
To earn a profit of 40% at Rs 20/litre,
Cost price = 20/1.4=100/7
Therefore,
Milk: Water = 100/7:40/7 = 5:2
So, in 4 litres of water, 10 litres of milk would be required. Resultant mixture = 14 litres
10. D
Present age of Daizy =5years
Present age of Radika =5−2=3
Let present age of Anika =x
Then, present age of Radika =x−6/18
x−6/18=3⇒x−6=3×18=54⇒x=54+6=60
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