Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

A mixture of 20 litres of alcohol and water contains 15% of alcohol. How much alcohol should be added to the mixture so that the mixture contains 20% of alcohol.

A
2.25 litres

B
1.50 litres

C
1.25 litres

D
2.50 litres

E
3.50 litres

Solution

Quantity of mixture = 20 litres

Quantity of alcohol in mixture = 15%

Let x litres of alcohol is added to mixture.

Quantity of alcohol in 20 litres = 15% of 20= $20 \times \frac{15}{100} = 3$ litres

As per question,

⇒ $\frac{(3 + x)}{(20 + x)}$ = $\frac{20}{100}$

⇒ 5(3 + x) = 20 + x⇒ x = 1.25 litres
Question 2
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A and B can do a work alone in 12 days and 8 days respectively. They undertook to do a work together, but B left the work after 2 days. Then, the remaining work was completed by A together with C in 3 days. If C got Rs. 600 as his share, for how much money did they undertook to do the work?

A
Rs. 1500

B
Rs. 1800

C
Rs. 2000

D
Rs. 2400

E
Rs. 2500

Solution
Question 3
1 / -0

$3$ years ago, the ratio of Maya's and Shika's age was $5: 9$ respectively. After 5 years, this ratio would become $3: 5$. Find the present age (in years) of Maya.

A
$40$

B
$45$

C
$43$

D
$53$

E
$62$

Solution

Given:

3 years ago, ratio of Maya's and Shika's age was $=5: 9$

3 years ago, ratio of Maya's and Shika's age was $=5 x: 9 x$

According to the question

$\frac{(5 x+8) }{(9 x+8)}=\frac{3 }{ 5} $

$\Rightarrow 5 \times(5 x+8)=3 \times(9 x+8) $

$\Rightarrow 25 x+40=27 x+24$

$\Rightarrow 27 x-25 x=40-24$

$\Rightarrow 2 x=16 $

$\Rightarrow x=\frac{16 }{ 2} $

$\Rightarrow x=8$

$3$ years ago age of Maya $=5 \times 8=40$

Present age of Maya $=40+3=43$ years
Question 4
1 / -0

What will come in the place of the question mark ‘?’ in the following question?

A
675

B
75

C
575

D
625

E
25

Solution
Question 5
1 / -0

Directions For Questions

Directions: The line chart given below represent the salary and expenditure (in Rs.) of Rakesh for the given period.

...view full instructions

In the year 2015, Rakesh invested 50% of his saving in the stock market, where he earned a profit of 300%. What was the profit?

A
500

B
3000

C
1500

D
780

E
2000

Solution

Salary in 2015 = Rs. 3000

Expenditure in 2015 = Rs. 2000

Saving = 3000 – 2000 = Rs. 1000

Investment in stock market = $\frac{1000}{2}$ = Rs. 500

Profit = 300% of 500 = Rs. 1500
Question 6
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Directions For Questions

Directions: The line chart given below represent the salary and expenditure (in Rs.) of Rakesh for the given period.

...view full instructions

According to a non-government company if a person save at least 27% of his salary in a year that year can be called as “a year of investment”. How many years are “a year of investment” during the given period?

A
5

B
3

C
1

D
7

E
2

Solution
Question 7
1 / -0

Directions For Questions

Directions: The line chart given below represent the salary and expenditure (in Rs.) of Rakesh for the given period.

...view full instructions

Find in which year the percentage increase in the salary of Rakesh was maximum.

A
2012

B
2013

C
2014

D
2015

E
2016

Solution
Question 8
1 / -0

Directions For Questions

Directions: The line chart given below represent the salary and expenditure (in Rs.) of Rakesh for the given period.

...view full instructions

Find by what percent the salary of Rakesh was increased in 2016 over 2012.

A
35%

B
230%

C
450%

D
350%

E
92%

Solution
Question 9
1 / -0

Directions For Questions

Directions: The line chart given below represent the salary and expenditure (in Rs.) of Rakesh for the given period.

...view full instructions

Find the compound annual growth rate (CAGR) of the salary of Rakesh during 2011-16. (Given: $9^{\frac{1}{5}}$ = 1.55)

A
55%

B
23%

C
45%

D
88%

E
92%

Solution
Question 10
1 / -0

A pipe can fill a tank in $\mathrm{2 0}$ minutes. Another pipe can empty that tank in $\mathrm{3 0}$ minutes. If both are opened alternatively, how long will it take to fill the tank?

A
$110$

B
$115$

C
$120$

D
$130$

E
$116$

Solution

Let the volume of the tank be 60 liters (L.C.M of 20 and 30 )

Part filled in $1 \mathrm{~min}=\frac{60 }{ 20}$

$\Rightarrow 3$ liters

Part emptied in $1 \mathrm{~min}=\frac{60 }{ 30}$

$\Rightarrow 2$ liters

Part filled in 2 mins $=1$ litre

Time taken to fill 57 liters $=2 \times 57$ mins

$\Rightarrow 114$ mins

Time taken to fill $(57+3)$ litres $=(114+1)$ mins

$\Rightarrow$ Time taken to fill 60 litres $=115$ mins

$\therefore$ The time taken to fill the tank is 115 mins.