Quantitative Aptitude Test

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Quantitative Aptitude Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

A mixture of 60 liters of wine and water contains 20% of water. How much water should be added to the mixture so that the water will be 36% in the final mixture?

A
10 liters

B
15 liters

C
12 liters

D
20 liters

E
None of these

Solution

The total quantity of the mixture is 60 liters

In the mixture water is 20%

After adding water, it will be 36% in the final mixture.

According to the question, We will add only water to the final mixture

So, we will consider 100% of the water will be added to the final mixture so that in the final mixture the water will be 36%

So, the ratio of the initial quantity of the mixture to the quantity of the water added to the mixture will be 4 ∶ 1

Let the initial quantity of the mixture be 4x and the added water be x

So, we can say 4x = 60

⇒ x = $\frac{60}{4}$ ⇒ x = 15
Question 2
1 / -0

The ratio of present age of P and Q is 7 : 5. Q’s present age is 5/6 times of R’s present age. If P is 5 years older than R, then find the ratio of age of P and R, 5 years from now.

A
7 : 8

B
8 : 9

C
8 : 7

D
9 : 8

E
6 : 7

Solution

Let us consider the present age of P, Q and R as P years, Q years and R years respectively.

given, P = $\frac{7 Q}{5}$

Also, R = $\frac{6 Q}{5}$

And, P - R = 5

⇒ $\frac{7 Q}{5} - \frac{6 Q}{5}$ = 5

⇒ Q = 25 years

⇒ P = 35 years and R = 30 years

∴ the ratio of age of P and R, 5 years from now = 35 + 5 : 30 + 5 = 8 : 7
Question 3
1 / -0

A batsman has a definite average for $11$ innings. The batsman score $120$ runs in his $12^{\text {th }}$ inning due to which his average increased by $5$ runs. Accordingly, what is the average of the batsman after $12$ innings?

A
65

B
60

C
70

D
72

E
75

Solution

Given:

Batsman scored in $12^{\text {th }}$ innings $=120$ run

His average increased $=5$ runs

Formula used:

Average $=\frac{\text { Sum of observations }}{\text { Number of observations }}$

Let average score of $11$ innings be $x$.

According to the question,

$\Rightarrow 11 x+120=(x+5) \times 12$

$\Rightarrow 11 x+120=12 x+60$

$\Rightarrow x=60$

The average of the batsman after $12$ innings $=(60+5)=65$

$\therefore$ Required average is $65$.
Question 4
1 / -0

Directions For Questions

Direction: What will come in the place of the question mark (?) in the following question?

...view full instructions

$\sqrt{144} \div 4 \times 6-\sqrt{196} \div \sqrt{4 9}+5=?$

A
19

B
20

C
21

D
22

E
23

Solution

Given,

$\sqrt{144} \div 4 \times 6-\sqrt{196} \div \sqrt{49}+5=?$

$\Rightarrow 12 \div 4 \times 6-14 \div 7+5=?$

$\Rightarrow 3 \times 6-2+5=?$

$\Rightarrow 18-2+5=?$

$\Rightarrow ?=21$

$\therefore$ The value of $?$ is $21$.
Question 5
1 / -0

Directions For Questions

Direction: What will come in the place of the question mark (?) in the following question?

...view full instructions

680 × 24 ÷ 12 ÷ 17 + 12 of 6 = ?

A
142

B
152

C
132

D
165

E
None of the above

Solution

Given,

$680 \times 24 \div 12 \div 17+12$ of $6=?$

$\Rightarrow680 \times 2 \div 17+12\times 6=?$

$\Rightarrow 680 \times \frac{2}{17}+12 \times 6=?$

$\Rightarrow 80+72=?$

$\Rightarrow ? =152$

$\therefore$ The value of $?$ is $152$.
Question 6
1 / -0

Directions For Questions

Direction: Study the following information carefully and answer the related question.

Rajesh invested Rs. 50000 in Scheme at 20% compound interest for 2 years. After 2 years he withdraws all his money and that money was used to purchase a TV Rs. 36000 and with remaining amount 20% in SIP Mutual funds and with remaining money he purchased 2 bike B1 and B2 for an equal amount after that he sells Bike B1 at 10% profit and Bike B2 at 20% profit.

...view full instructions

What was the amount received after 2 years of his investment?

A
Rs. 65000

B
Rs. 80000

C
Rs. 55000

D
Rs. 72000

E
None of these

Solution

Given:

Rajesh invested Rs. 50000.

Invested 20% $=20+20+\frac{(20 \times 20)}{ 100}$

Invested return = 44%

Rajesh total amount $= 50000 × \frac{44 }{100}$ = Rs. 22000

Total amount of Rajesh = Rs. 50000 + Rs. 22000 = Rs. 72000

∴ The amount received after 2 years is Rs. 72000.
Question 7
1 / -0

Directions For Questions

Direction: Study the following information carefully and answer the related question.

Rajesh invested Rs. 50000 in Scheme at 20% compound interest for 2 years. After 2 years he withdraws all his money and that money was used to purchase a TV Rs. 36000 and with remaining amount 20% in SIP Mutual funds and with remaining money he purchased 2 bike B1 and B2 for an equal amount after that he sells Bike B1 at 10% profit and Bike B2 at 20% profit.

...view full instructions

What was the amount invested in SIP mutual funds?

A
Rs. 5200

B
Rs. 8200

C
Rs. 6200

D
Rs. 7200

E
None of these

Solution

Given:

Invested 20% $=20+20+\frac{(20 \times 20)}{100}$

Invested return = 44%

Rajesh total amount $=50000 \times \frac{44}{100}$ = Rs. 22000

Total amount of Rajesh = Rs. 50000 + Rs. 22000 = Rs. 72000

Remaining amount after TV buy = Rs. 72000 – Rs. 36000 = Rs. 36000

SIP in Mutual funds $= 36000 × \frac{20}{100} $ = Rs. 7200
Question 8
1 / -0

Directions For Questions

Direction: Study the following information carefully and answer the related question.

Rajesh invested Rs. 50000 in Scheme at 20% compound interest for 2 years. After 2 years he withdraws all his money and that money was used to purchase a TV Rs. 36000 and with remaining amount 20% in SIP Mutual funds and with remaining money he purchased 2 bike B1 and B2 for an equal amount after that he sells Bike B1 at 10% profit and Bike B2 at 20% profit.

...view full instructions

What was the selling price of Bike 1?

A
Rs. 19860

B
Rs. 16780

C
Rs. 12860

D
Rs. 15840

E
None of these

Solution

Given:

Rajesh invested Rs. 50000.

Invested 20% $=20+20+\frac{(20 \times 20)}{100}$

Invested return = 44%

Rajesh total amount $=50000 \times \frac{44}{100}=2000$

Total amount of Rajesh = Rs. 50000 + Rs. 22000 = Rs. 72000

Remaining amount after TV buy = Rs. 72000 – Rs. 36000 = Rs. 36000

SIP in Mutual funds $= 36000 × \frac{20}{100} = 7200$

Remaining amount = Rs. 36000 – Rs. 7200 = Rs. 28800

That amount used in the buy two Bikes.

B1 bike profit $= 14400 × \frac{10}{100} =$ Rs. 1440

∴ The selling price of Bike B1 = Rs. 14400 + Rs. 1440 = Rs. 15840
Question 9
1 / -0

Directions For Questions

Direction: Study the following information carefully and answer the related question.

Rajesh invested Rs. 50000 in Scheme at 20% compound interest for 2 years. After 2 years he withdraws all his money and that money was used to purchase a TV Rs. 36000 and with remaining amount 20% in SIP Mutual funds and with remaining money he purchased 2 bike B1 and B2 for an equal amount after that he sells Bike B1 at 10% profit and Bike B2 at 20% profit.

...view full instructions

What was the amount left with Rajesh after buying a TV?

A
Rs. 42000

B
Rs. 15000

C
Rs. 36000

D
Rs. 52000

E
None of these

Solution

Given:

Rajesh invested Rs. 50000.

Invested 20% $=20+20+\frac{(20 \times 20)}{100}$

Invested return = 44%

Rajesh total amount $=50000 \times \frac{44}{100}$ = Rs. 2000

Total amount of Rajesh = Rs. 50000 + Rs. 22000 = Rs. 72000

Remaining amount = Rs. 72000 – Rs. 36000 = Rs. 36000

The amount left with Rajesh after buying a TV is Rs. 36000.
Question 10
1 / -0

Directions For Questions

Direction: Study the following information carefully and answer the related question.

Rajesh invested Rs. 50000 in Scheme at 20% compound interest for 2 years. After 2 years he withdraws all his money and that money was used to purchase a TV Rs. 36000 and with remaining amount 20% in SIP Mutual funds and with remaining money he purchased 2 bike B1 and B2 for an equal amount after that he sells Bike B1 at 10% profit and Bike B2 at 20% profit.

...view full instructions

What was the average Selling price of the Bike B1 and Bike B2?

A
Rs. 17560

B
Rs. 16560

C
Rs. 18560

D
Rs. 21850

E
None of these

Solution

Given:

Rajesh invested Rs. 50000.

Invested 20% $=20+20+\frac{(20 \times 20)}{100}$

Invested return = 44%

Rajesh total amount $=50000 \times \frac{44}{100}$ = Rs. 2000

Total amount of Rajesh = Rs. 50000 + Rs. 22000 = Rs. 72000

Remaining amount after TV buy = Rs. 72000 – Rs. 36000 = Rs. 36000

SIP in Mutual funds $= 36000 × \frac{20}{100}$ = Rs. 7200

Remaining amount = Rs. 36000 – Rs. 7200 = Rs. 28800

That amount used in the buy two Bikes.

B1 bike profit $= 14400 × \frac{10}{100}$ = Rs. 1440

Total profit amount Bike B1 = Rs. 14400 + Rs. 1440 = Rs. 15840

B2 bike profit $= 14400 × \frac{20}{100}$ = Rs. 2880

Total Selling amount Bike B2 = Rs. 14400 + Rs. 2880 = Rs. 17280

Then the average Selling price of Bike1 and Bike2 $= \frac{(15840 + 17280)}{2}$

∴ Average selling price of Bike1 and Bike2 = Rs. 16560

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Re-Attempt Weekly Quiz Competition

Quantitative Aptitude Test - 5

Result

Quantitative Aptitude Test - 5

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SHARING IS CARING

Question 1

10 liters

15 liters

12 liters

20 liters

None of these

Solution

Question 2

7 : 8

8 : 9

8 : 7

9 : 8

6 : 7

Solution

Question 3

65

60

70

72

75

Solution

Question 4

19

20

21

22

23

Solution

Question 5

142

152

132

165

None of the above

Solution

Question 6

Rs. 65000

Rs. 80000

Rs. 55000

Rs. 72000

None of these

Solution

Question 7

Rs. 5200

Rs. 8200

Rs. 6200

Rs. 7200

None of these

Solution

Question 8

Rs. 19860

Rs. 16780

Rs. 12860

Rs. 15840

None of these

Solution

Question 9

Rs. 42000

Rs. 15000

Rs. 36000

Rs. 52000

None of these

Solution

Question 10

Rs. 17560

Rs. 16560

Rs. 18560

Rs. 21850

None of these

Solution

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Question Analysis