Quantitative Aptitude Test

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Quantitative Aptitude Test - 4

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Weekly Quiz Competition

Question 1
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The ratio between the length and the breadth of a rectangular plot is 6: 5. If the perimeter of the plot is 484 metres, what is its area?

A
14520 sq.metres

B
12500 sq. metres

C
12000 sq. metres

D
13800 sq. metres

E
None of these

Solution

Let the length of the rectangular plot be 6x

And the breadth of the rectangular plot be 5x

According to the given information:

The perimeter of the rectangular plot is 484

As we know, the perimeter of a rectangle = 2(l + b)

2(6x + 5x) = 484

⇒ 2(11x) = 484

⇒ 22x = 484

⇒ x = 22

⇒ The length of the rectangular plot is 6 × 22 = 132 m

And the breadth of the rectangular plot is 5 × 22= 110 m

Thus, the area of the rectangular plot is L × B

⇒ 132 × 110 = 14520 sq.metres

So, the area of the rectangular plot is 14,520 sq. metres.
Question 2
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Directions For Questions

Direction: Below given a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

...view full instructions

What is the present age of Sanjeev?

I. Sanjeev is 4 years younger than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5.

II. Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years.

III. The present age of Sanjeev is 5 years less than the age of Mohan.

A
The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

B
The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.

C
The data in statements I alone or in statement II alone or Statement III alone is sufficient to answer the question.

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

E
The data in all the statements I, II and III together are necessary to answer the question.

Solution

From Statement I:

Let Anuj \(=4 {x}\), Vipin \(=5 {x}\)

Sanjeev \(=4 x+4\)

From Statement II:

Anuj \(=20\) years, Sanjeev \(=x\), Vipin \(=x+1\)

Statement III:

Let age of Mohan \(={m}\) years

Sanjeev \(=m-5\) years

From Statement \(I+\) Statement II:

Anuj \(=20\) years, Vipin \(=\frac{20}{4 x} \times 5 x=25\) years

Sanjeev \(=25-1=24\) years

Statement I and II both are necessary to answer the question.
Question 3
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Directions For Questions

Direction: Below given a question and three statements numbered I, II and III. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

...view full instructions

What is the length of the train X?

I. Two trains X and Y running in opposite directions and cross each other in 25 seconds.

II. The length of the train Y is 320m and the difference between the speeds of trains X and Y is 14 km/h.

III. The ratio of the speed of the trains is 19 : 26.

A
The data in statements I and statements II are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B
The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.

C
The data in statements I alone or in statement II alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

D
The data in all the statements I, II and III is not sufficient to answer the question.

E
The data in all the statements I, II and III together is necessary to answer the question.

Solution

From Statement I:

Time \(=25\) seconds

Relative speed \(=\frac{\text { length of trains }}{\text { time }}\)

\(=\frac{\text { length of trains }}{25}\)

From Statement II:

Length of train \(Y=320 {~m}\)

Difference of speed \(=14 {~km} / {h}\)

From Statement III:

Let the speeds \(=19 {x}, 26 {x}\)

Statement \(I+\) Statement II + Statement III

\(26 x-19 x=14\)

\(7 x=14\)

\(x=2\)

Speed \(=52 {~km} / {h}, 38 {~km} / {h}\)

\((52+38) \times \frac{5}{18}=\frac{({a}+320)}{25}\)

\(25 \times 25={a}+320\)

\(625-320={a}\)

\(a=305 {~m}\)

Therefore, all the statements are necessary to answer the question.
Question 4
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Ramakant cycles at the speed of \(10\) km/hr and walks at the speed of \(3 \) km/hr. Then Ramakant takes 8 hours to cover a distance of \(45\) km. How many of these kilometers were covered by cycle?

A
60

B
40

C
50

D
30

E
20

Solution

Given:

Speed of cycling \(=10\) km/hr

Speed of walking \(=3\) km/hr

Total time taken to cover \(45\) km \(=8\) hours

Distance \(=\) Speed \(\times\) Time

Let the time for which Ramakant do cycling be \(x\) hr.

Time for which Ramakant do walking \(=(8-x)\) hr

According to the question,

\(\Rightarrow 10 \times x+3 \times(8-x)=45\)

\(\Rightarrow 10 x+24-3 x=45\)

\(\Rightarrow 7 x=21\)

\(\Rightarrow x=3 \) hr

Distance covered by cycle \(=(10 \times 3)\) km/hr

\(=30\) km/hr

\(\therefore\) Required distance covered by cycle is \(30\).
Question 5
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If the product of two numbers is 192 and the HCF is 8, then the ratio of HCF and LCM is:

A
1 : 6

B
6 : 1

C
3 : 1

D
1 : 3

E
1 : 4

Solution

We know that,

Product of two numbers = LCM × HCF

⇒ 192 = LCM × 8

⇒ LCM = 24

Therefore, ratio of HCF and LCM = 8 : 24 = 1 : 3
Question 6
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Directions For Questions

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

...view full instructions

5, 26, ?, 124, 37, 342

A
25

B
15

C
37

D
17

E
18

Solution

The pattern of given series can be explained as:

2² + 1 = 5

3³ – 1 = 26

4²+ 1 = 17

5³ -1 = 124

6₂ + 1 = 37

7³ - 1 = 342

∴ The value of ? is 17.
Question 7
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Directions For Questions

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

...view full instructions

7, 26, 63, 124, 215, 342, ?

A
481

B
511

C
421

D
391

E
None of these

Solution

The series follows following pattern:

2³ – 1 = 8

3³ – 1 = 26

4³ – 1 = 63

5³– 1 = 124

6³ – 1 = 215

7³ – 1 = 342

8³ – 1 = 511

∴ The value of ? is 511.
Question 8
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Directions For Questions

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

...view full instructions

1, 4, 18, 93, ?

A
520

B
562

C
242

D
256

E
554

Solution

The series follows following pattern:

1 × 3 + 1 = 4

4 × 4 + 2 = 18

18 × 5 + 3 = 93

93 × 6 + 4 = 562

∴ The value of ? is 562.
Question 9
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Directions For Questions

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

...view full instructions

3, 5, 9, 17, ?

A
33

B
37

C
39

D
31

E
29

Solution

The series follows following pattern:

2 + 1 = 3

2² + 1 = 5

2³ + 1 = 9

2⁴ + 1 = 17

2⁵ + 1 = 33

∴ 33 will come in place of ?.
Question 10
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Directions For Questions

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

...view full instructions

15, 19, 83, 119, 631, ?

A
733

B
731

C
729

D
770

E
None of these

Solution

The pattern of the above series is as follows:

15 + 2²= 19

19 + 4³= 83

83 + 6²= 119

119 + 8³ = 631

631 + 10² = 731

∴ The value of ? is 731.

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Quantitative Aptitude Test - 4

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Quantitative Aptitude Test - 4

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SHARING IS CARING

Question 1

14520 sq.metres

12500 sq. metres

12000 sq. metres

13800 sq. metres

None of these

Solution

Question 2

The data in statements I and II are sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

The data in statements II alone is sufficient to answer the question, while the data in statement I and III are not sufficient to answer the question.

The data in statements I alone or in statement II alone or Statement III alone is sufficient to answer the question.

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

The data in all the statements I, II and III together are necessary to answer the question.

Solution

Question 3

The data in statements I and statements II are sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.

The data in statements I alone or in statement II alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in all the statements I, II and III is not sufficient to answer the question.

The data in all the statements I, II and III together is necessary to answer the question.

Solution

Question 4

60

40

50

30

20

Solution

Question 5

1 : 6

6 : 1

3 : 1

1 : 3

1 : 4

Solution

Question 6

25

15

37

17

18

Solution

Question 7

481

511

421

391

None of these

Solution

Question 8

520

562

242

256

554

Solution

Question 9

33

37

39

31

29

Solution

Question 10

733

731

729

770

None of these

Solution

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Question Analysis