Quantitative Aptitude Test

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Quantitative Aptitude Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

A right circular cone has a height $8$ cm. If the radius of its base is $6$ cm, then what is its total surface area?

A
$96π$ cm$^2$

B
$69π$ cm$^2$

C
$54π$ cm$^2$

D
$48π$ cm$^2$

E
$50π$ cm$^2$

Solution

Height $=8$ m and radius $=6$ cm
Slant height $l=\sqrt{8^{2}+6^{2}}=10 $ cm
Total surface area of cone $=π r^{2}+π r l$
$= π(36+60)$
$= 96 π$ cm$^{2}$
Question 2
1 / -0

Direction: The question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.
Ishita bought 2000 mobiles for 50000 find his profit %.
I. Ishita gives away 25% of mobiles free.
II. 10% mobiles sold in the market for 25% discount and rest at 33.33% discount.

A
If statement I alone is sufficient to answer the question, but statement II alone is not sufficient.

B
If statement II alone is sufficient to answer the question, but statement I alone is not sufficient.

C
If both the statements I and II together are needed to answer the question.

D
If either statement I alone or statement II alone is sufficient to answer the question.

E
If both the statements together are not sufficient to answer the question.

Solution

Statement I:
Number of mobiles sold by Ishita in the market = Bought mobiles × (1−25% of the free giveaway)
⇒ 2000 × (1−25%) = 1500
Statement II:
From this statement, we cannot say at what price the product was sold at the market so we cannot find the profit %.
∴ Both the statements together are not sufficient to answer the question.
Question 3
1 / -0

A sold goods to B at a loss of $5 \%$ but B sells it for Rs. 570 and he gains $20 \%$. What is the cost price of the goods for A?

A
Rs. $300$

B
Rs. $400$

C
Rs. $500$

D
Rs. $600$

E
Rs. $350$

Solution

Given:
Selling price of B$=$ Rs. 570
Gain $\%$ for $B=20$
Loss for A $=5 \%$
Let the cost price for B be Rs. ${x}$.
Profit = S.P. - C.P.
$\Rightarrow\left(\frac{20 x}{100}\right)=570-x$
$\Rightarrow \frac{120 x}{100}=570$
$\Rightarrow x=$ Rs. 475
Rs. $475$ is the selling price for A.
Loss = C.P. - S.P.
$\Rightarrow 5 \%$ of $x=x-475$
$\Rightarrow \frac{95 x}{100}=475$
$\Rightarrow x=$ Rs. $500$
∴ Cost price of the good for A isRs. $500$.
Question 4
1 / -0

Directions For Questions

Direction: The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie chart and answers the question that follows.

Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.)

...view full instructions

Near about 20% of the funds are to be arranged through:

A
SPVS

B
External Assistance

C
Annuity

D
Market Borrowing

E
Toll

Solution

Given:

Total funds = 11486 + 5252 + 4910 + 6000 + 29952

= Rs. 57600crores

20% of the total funds to be arranged

= Rs. (20% of 57600) crores

= $57600 \times \frac{20}{100}$

=Rs. 11520 crores $\approx$ Rs. 11486 crores

Near about 20% of the funds are to be arranged through external assistance.
Question 5
1 / -0

Directions For Questions

Direction: The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie chart and answers the question that follows.

Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.)

...view full instructions

If NHAI could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds?

A
4.5%

B
7.5%

C
6%

D
8%

E
7%

Solution

Given:

Funds required through External Assistance = Rs. 11486 crores

Funds receivethrough External Assistance =Rs. 9695 crores

Shortage of funds arranged through External Assistance =Rs. (11486 - 9695) crores

= Rs. 1791 crores

Increase required in Market Borrowing = Rs. 1791 crores

Funds arranged through Market Borrowing = Rs. 29952 crores

Percentage increase required = $\frac{1791}{29952} \times 100$

= 5.98% $\approx$ 6%
Question 6
1 / -0

Directions For Questions

Direction: The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie chart and answers the question that follows.

Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.)

...view full instructions

If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4910 crores?

A
Rs. 6213 crores

B
Rs. 5827 crores

C
Rs. 5401 crores

D
Rs. 5316 crores

E
Rs. 5406 crores

Solution

Given:

Funds required from Toll for projects = Rs. 4910crores

Amount permitted = (Funds required from Toll for projects of Phase II) +(10% of these funds)

= 4910 + (10% of 4910)

= 4910 + $4910 \times \frac{10}{100}$

= 4910 + 491

= Rs. 5401 crores
Question 7
1 / -0

Directions For Questions

Direction: The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie chart and answers the question that follows.

Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.)

...view full instructions

The central angle corresponding to Market Borrowing is:

A
52°

B
137.8°

C
187.2°

D
192.4°

E
None of these

Solution

Given:

Total funds = 11486 + 5252 + 4910 + 6000 + 29952

= Rs. 57600 crores

Investment required byMarket Borrowing =Rs. 29952crores

Central angle for pie chart

= $\frac{29952}{57600} \times 360 °$

= $\frac{10782720}{57600}$

= 187.2°
Question 8
1 / -0

Directions For Questions

Direction: The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie chart and answers the question that follows.

Sources of funds to be arranged by NHAI for Phase II projects (in crores Rs.)

...view full instructions

The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is:

A
2 : 9

B
1 : 6

C
3 : 11

D
2 : 5

E
2 : 7

Solution

Given:

Investment required by Market Borrowing = Rs. 29952 crores

Investment required by Toll = Rs. 4910 crores

Required ratio = $\frac{4910}{29952}$

= $\frac{1}{6.1} \approx \frac{1}{6}$

=1 : 6
Question 9
1 / -0

Find the sum of ages of A, B, C, D, and E
I. Average of A, C, and D is 34.
II. Average A, B, and E is 45.
III. The sum of ages of B and E is 90.

A
Only statement I and III together are sufficient to answer the question

B
Only statement I and II together are sufficient to answer the question

C
Only statement II and III together are sufficient to answer the question

D
The data given in all statements I, II, and III together are not sufficient to answer the question

E
None of the above

Solution

Given:
The average of A, C, and D is 34.
The average A, B, and E is 45.
The sum of ages of B and E is 90.
Average $=\frac{\text { Total sum }}{\text { Total numbers }}$
Statement (I):
The average of A, C, and D = 34
The total sum of A, C, and D = 34 × 3 = 102
Statement (II):
The average A, B, and E = 45
The total sum of A, B, and E = 45 × 3 = 135
Statement (III):
The sum of ages of B and E = 90
From statement (I) and (III):
The total sum of A, B, C, D, and E = 102 + 90 = 192
∴ The total sum of A, B, C, D, and E is 192.
Thus, The only statement I and III together are sufficient to answer the question.
Question 10
1 / -0

In certain years a sum of money is doubled itself at $6.25 \%$ simple interest p.a then the required time in years will be?

A
$12.5$

B
$16$

C
$8$

D
$10 \frac{2}{3}$

E
None of the above

Solution

Given:
In certain years a sum of money is doubled itself at $6.25 \%$ simple interest per annum.
Formula:
Amount (A) = Principal (P) + Simple Interest (SI)
Simple Interest $(\mathrm{SI})=\frac{P \times N \times R}{100}$
Where,
P = Principal
N = Time Duration
R = Rate of Interest
SI = Simple Interest
Given, In certain years a sum of money is doubled itself
Let the time required and principal be $t$ years and Rs. $p$ respectively.
Amount $=2 p$
As, Amount $=S . I+p$
$\Rightarrow S . I=p$
We know that $\mathrm{SI}=\frac{\mathrm{p} \times \mathrm{r} \times \mathrm{t}}{100}$
Given, $r=6.25 \%$
$\Rightarrow p=\frac{p \times r \times t}{100}$
$\Rightarrow t=\frac{100}{r}$
$\Rightarrow t=\frac{100}{6.25}$
$=16$ years
$\therefore$ The required time in years will be $16$ years.

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Re-Attempt Weekly Quiz Competition

Quantitative Aptitude Test - 11

Result

Quantitative Aptitude Test - 11

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SHARING IS CARING

Question 1

\(96π\) cm\(^2\)

\(69π\) cm\(^2\)

\(54π\) cm\(^2\)

\(48π\) cm\(^2\)

\(50π\) cm\(^2\)

Solution

Question 2

If statement I alone is sufficient to answer the question, but statement II alone is not sufficient.

If statement II alone is sufficient to answer the question, but statement I alone is not sufficient.

If both the statements I and II together are needed to answer the question.

If either statement I alone or statement II alone is sufficient to answer the question.

If both the statements together are not sufficient to answer the question.

Solution

Question 3

Rs. \(300\)

Rs. \(400\)

Rs. \(500\)

Rs. \(600\)

Rs. \(350\)

Solution

Question 4

SPVS

External Assistance

Annuity

Market Borrowing

Toll

Solution

Question 5

4.5%

7.5%

6%

8%

7%

Solution

Question 6

Rs. 6213 crores

Rs. 5827 crores

Rs. 5401 crores

Rs. 5316 crores

Rs. 5406 crores

Solution

Question 7

52°

137.8°

187.2°

192.4°

None of these

Solution

Question 8

2 : 9

1 : 6

3 : 11

2 : 5

2 : 7

Solution

Question 9

Only statement I and III together are sufficient to answer the question

Only statement I and II together are sufficient to answer the question

Only statement II and III together are sufficient to answer the question

The data given in all statements I, II, and III together are not sufficient to answer the question

None of the above

Solution

Question 10

\(12.5\)

\(16\)

\(8\)

\(10 \frac{2}{3}\)

None of the above

Solution

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Question Analysis