# eLitmus Quantitative Aptitude Questions And Answers

eLitmus Quantitative Aptitude MCQs : This section focuses on "Quantitative Aptitude" of eLitmus Exam. These Multiple Choice Questions (MCQ) should be practiced to prepare for eLitmus Exam, entrance exams and other competitive examinations.

1. In a certain examination paper, there are n sets of questions. For i =1,2,…….n, there are 2^(n-1) is the number of ways in which the questions are answered incorrectly. If there are 8191 incorrectly answered questions, then the value of n is:

A. 13

B. 11

C. 15

D. 10

View Answer

Ans : A

Explanation: 2^13= 8192 (general observation)

Given that the number of incorrectly answered questions is 8191

Implies: 2^(13-1)=8192-1

=> 8191

=> n=13

2. In the first 10 overs of a cricket game, the run rate was only 3.8. What should be the run rate in the remaining 40 overs to reach the target of 290 runs?

A. 7.3

B. 5.5

C. 6.3

D. 5

View Answer

Ans : C

Explanation: 10 overs run rate is 3.8=10*3.8=38

target 290

290-38=252

252/40=6.3

3. The marked price of a table is Rs. 1200, which is 20% above the cost price. It is sold at a discount of 10% on the marked price. Find the profit percent.

A. 0.1

B. 0.08

C. 0.05

D. 0.06

View Answer

Ans : B

Explanation: 20% increase for 100% is 120 and then 10 % decrease is 108%.

4. The length, breadth and height of a room are in the ratio 3: 2: 1. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will be decreased by?

A. 0.1364

B. 0.15

C. 0.1875

D. 0.3

View Answer

Ans : D

Explanation: Let the length, breadth and height of the room be 3,2 and 1 unit respectively.

Area of the four walls of the room = 2(l + b) h

=2 (3 + 2) x 1= 10 sq unit

New length, breadth and height of the room will be 6, 1 and 1/2 unit respectively.

Hence, new area of the four walls of the room = 2 (6+1) x 0.5= 7 sq unit.

Percentage decrease (%) = 10-7/10=30

5. Let f(x)= max( 2x + 1, 3 – 4x), where x is any real number. Then, the minimum possible value of f(x) is

A. (4/3)

B. (1/2)

C. (2/3)

D. (5/3)

View Answer

Ans : D

Explanation: As f(x)= max( 2x + 1, 3 – 4x )

A function would b minimum at the point of intersection of these curves.

i.e. 2x + 1 = 3 – 4x

x=1/3

Hence, minimum value of f(x) is 5/3

6. If logx (0.1) = -1/3, then the value of x is :

A. 10

B. 1000

C. 100

D. 10000

View Answer

Ans : B

Explanation: 1000

7. A bread making machine can make bread of 50kg dough in 3 minutes. How many are such machines required to make bread of 300kg dough in 6 minutes?

A. 6

B. 3

C. 4

D. 5

View Answer

Ans : B

Explanation: m*d*t/w=m1*d1*t1/w

so 3/50=6*x/300

ans is x= 300*3/50*6

x=3

8. The average of 11 numbers is 10.9. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?

A. 11

B. 11.3

C. 11.5

D. 11.4

View Answer

Ans : C

Explanation: 1 to 11 = 11 * 10.9 = 119.9

1 to 6 = 6 * 10.5 = 63

6 to 11 = 6 * 11.4 = 68.4

63 + 68.4 = 131.4 – 119.9 = 11.5

6th number = 11.5

9. The price of a product is increased by 20%. If the original price is Rs. 300, what is the final price of the product?

A. 360

B. 350

C. 370

D. 375

View Answer

Ans : A

Explanation: Final Price = Initial price + Initial price x 20/100

= Initial price x (1+20/100)

= Rs.300x(1.2)

= Rs.360

10. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

A. 1

B. 2

C. 3

D. 4

View Answer

Ans : B

Explanation: Let the numbers 13a and 13b.

Then, 13a x 13b = 2028

=>ab = 12.

Now, the co-primes with product 12 are (1, 12) and (3, 4).

[Note: Two integers a and b are said to be coprime or relatively prime if they have no common positive factor other than 1 or, equivalently, if their greatest common divisor is 1 ]

So, the required numbers are (13 x 1, 13 x 12) and (13 x 3, 13 x 4).

Clearly, there are 2 such pairs.

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