Quantitative Aptitude Quiz – 56(Mixed)

In Quantitative Aptitude, Quants & Reasoning
December 14, 2015

Dear Aspirants,

Welcome to D2G’s Quantitative Aptitude Quiz. Sometimes it takes a good fall to really know where you stand.

1) A certain number of men can complete a piece of work in 40 days. If there were 8 men more the work could be finished in 10 days less. How many men were there afterwards?
(a) 32 men
(b) 28 men
(c) 24 men
(d) 15 men
(e) None of these

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Let the number of men be X.
X men can do a work in 40 days.
(x + 8) men can do the same work in (40 – 10 )days = 30 days
X × 40 = 30 (x + 8)
40 x = 30 x + 240
10x = 240
X = 24
The number of men afterwards = 24 + 8 = 32 men

2) A and B complete a piece of work in 5 days working together. If A had worked twice as fast the work would have been completed in 4 days. In how many days can A alone complete the work?
(a) 20 days
(b) 18 days
(c) 24 days
(d) 15 days
(e) None of these

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let A do the work in a days.
A’s 1 days work = 1/a
Let B do the work in b days
B’s days work = 1/b
1/a + 1/b = 1/5…..(i)
2/a + 1/b = 1/4…..(ii)
By solving (i) & (ii)
we get a = 20 days

3) Find the average of first 52 consecutive even numbers.
(a) 52
(b) 53
(c) 51
(d) 50

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Average of consecutive even numbers is (n + 1)
So here 52 consecutive even numbers
52 + 1 = 53.

4) A cricketer has completed 15 innings and his average is 20 runs. How many runs must he make in his next innings so as to raise his average to 25?
(a) 75
(b) 50
(c) 100
(d) 85

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Average of 15 innings is 20
Sum of 15 innings runs
15 Capture 20 = 300
After 16th innings average will be 25.
Total 16 Capture 25 = 400
16th innings needs score
400 – 300 = 100

5) The ratio of present ages of two brothers is 1 : 2 and 5 years back in the ratio 1 : 3. What will be the ratio of their ages after 5 years?
(a) 1 : 4
(b) 2 : 3
(c) 3 : 5
(d) 5 : 6

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Present age ratio 1 : 2
5 years back ratio 1 : 3
So,

X =10.
Then Present age of brothers 10 and 20
After 5 years 15 and 25
Ratio 3 : 5

6) A mixture of 40 litres of milk and water contains 10 % water. How much water must be added to make 20 % water in the new mixture?
(a) 5 litres
(b) 6 litres
(c) 8 litres
(d) 10litres

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Total mixture is 40 litres
10 % water = 4 litres
90 % milk = 36 litres
Water must be added to make 20 % water
So there is no change in Milk
80 % milk is 36 litres
So, 100 % of new mixture is 45 litres.
In new mixture water is 45 – 36 = 9 litres
Water must be added in new mixture is
9 litres – 4 litres = 5 litres

7) Peter purchased a machine for Rs. 80,000 and spent Rs. 5000 on repair and Rs. 1000 on transport and sold it with 25 % Profit. At what price did he sell the machine?
(a) Rs. 1,05,100
(b) Rs. 1,06,250
(c) Rs. 1,07,500
(d) None of these

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Total spent 80000 + 5000 + 1000 = 86000.
Sold it 25 % profit,
25 % profit of 86000 is
Solve

= 21500.
So selling price is 86000 + 21500 = 107500.

8) Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?
(a) 3.5
(b) 4.5
(c) 5.6
(d) 6.5

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1 dozen 375
20 dozen × 375 = 7500
Sells it 33 each of them
20 dozen means 240 toys
240 ×33 = 7920
Profit is 7920 – 7500 = 420
Profit percentage is

= 5.6 %.

9) Find the average of cubes of natural from 1 to 16.
(a) 1156
(b) 1516
(c) 1155
(d) 1165

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Average of cube natural numbers is

Here average 1 to 16 cube natural numbers

10) 30 men can repair a road in 18 days. They are joined by 6 more workers. Now the road can be repaired in
(a) 14 days
(b) 15 days
(c) 16 days
(d) 17 days

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30 men finish a job in 18 days. Then 6 more men joined,
30 m ×18 d = 36 m× x days
X = 15 days

Happy Reading!!