Quantitative Ability Test

Result

Quantitative Ability Test - 2

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Weekly Quiz Competition

Question 1
4 / -1

The value of x − y^x−y when x = 2 and y = −2 is:

A
18

B
-18

C
14

D
-14

Solution

Given,

x −y^x−y

Here x = 2,y = −2

By substituting in x − y^x−y we get,

x − y^x−y = 2 − (−2)²− (−2)

= 2 − (−2)² + 2

= 2 − (−2)⁴

= 2 − (16)

= −14

The value of x − y^x−y is −14.

Hence, the correct option is (D).
Question 2
4 / -1

The product of two numbers is 120 and the sum of their squares is 289. The sum of the two number is:

A
23

B
7

C
13

D
169

Solution

Let the two number are a and b.

According to the question,

a² + b² = 289

ab = 120

(a + b)² = a2 + b² + 2ab

(a + b)² = (289)² + (2 × 120)

(a + b)² = 529

(a + b) = 23

Hence, the correct option is (A).
Question 3
4 / -1

If x² < 4 then the value of x is:

A
(0, 2)

B
(-2, 2)

C
(-2, 0)

D
None of these

Solution

Given,

x² < 4

⇒ x² − 4 < 0

⇒ (x − 2) × (x + 2) < 0

⇒ −2 < x < 2

⇒ x ∈ (−2, 2)

Hence, the correct option is (B).
Question 4
4 / -1

The average of some natural numbers is 15. If 30 is added to the first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural numbers is:

A
20

B
30

C
15

D
10

Solution

According to the question, The average of some natural numbers is 15. If 30 is added to the first number and 5 is subtracted from the last number the average becomes 17.5 then the number of natural numbers is

Let the number of natural numbers be x

⇒ 15×x + 30 − 5 = 17.5×x

⇒ 15x + 25 = 17.5x

⇒ 2.5x = 25

⇒ x = 10

Hence, the correct option is (D).
Question 5
4 / -1

A
1/2

B
2

C
1

D
log10¹³

Solution
Question 6
4 / -1

Find the n^th term of the following sequence:

5 + 55 + 555 +….Tn

A
5(10ⁿ − 1)

B
5ⁿ(10ⁿ − 1)

C
5/9 × (10ⁿ − 1)

D
(5/9)ⁿ × (10ⁿ − 1)

Solution
Question 7
4 / -1

Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

A
1 : 3

B
3 : 2

C
3 : 4

D
None of these

Solution

Let the speeds of the two trains be x m/sec

and y m/sec respectively.

Then, length of the first train = 27x metres,

and length of the second train = 17y metres.

∴ 27x + 17y / x + y = 23

⇒ 27x + 17y = 23x + 23y

⇒ 4x = 6y

⇒ x/y = 32

Hence, the correct option is (B).
Question 8
4 / -1

Which one of the following is an example of the empty set?

A
Set of all even prime numbers

B
{x : x² 2 = 0 and x is a real number}

C
{X : x is a natural number, x > 8 and simultaneously x < 12}

D
{x : x is a point common to any two parallel lines}

Solution

The empty set is the unique set having no elements; the count of elements in a set is zero.

{x : x is a common point to any two parallel lines}

So, it is an empty set as parallel lines do not have a common point.

Set of all even prime number = {2}

Thus, its not empty set.

{x : x² − 2 = 0 and x is a real number }

x = +2 and −2

So, its not empty set.

{x:x is a natural number, x>8 and simultaneously x < 12}

Thus, it is also non empty set.

Hence, the correct option is (D).
Question 9
4 / -1

The first term of an Arithmetic Progression is 22 and the last term is −11. If the sum is 66, the number of terms in the sequence are:

A
10

B
12

C
9

D
8

Solution
Question 10
4 / -1

What is the value of 1/2 log10²⁵ –2log10³ + log10¹⁸?

A
2

B
3

C
1

D
0

Solution

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Re-Attempt Weekly Quiz Competition

Quantitative Ability Test - 2

Result

Quantitative Ability Test - 2

Score

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Rank

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SHARING IS CARING

Question 1

18

-18

14

-14

Solution

Question 2

23

7

13

169

Solution

Question 3

(0, 2)

(-2, 2)

(-2, 0)

None of these

Solution

Question 4

20

30

15

10

Solution

Question 5

1/2

2

1

log1013

Solution

Question 6

5(10n − 1)

5n(10n − 1)

5/9 × (10n − 1)

(5/9)n × (10n − 1)

Solution

Question 7

1 : 3

3 : 2

3 : 4

None of these

Solution

Question 8

Set of all even prime numbers

{x : x2 2 = 0 and x is a real number}

{X : x is a natural number, x > 8 and simultaneously x < 12}

{x : x is a point common to any two parallel lines}

Solution

Question 9

10

12

9

8

Solution

Question 10

2

3

1

0

Solution

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log10¹³

5(10ⁿ − 1)

5ⁿ(10ⁿ − 1)

5/9 × (10ⁿ − 1)

(5/9)ⁿ × (10ⁿ − 1)

{x : x² 2 = 0 and x is a real number}