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:
Explanation: 2^13= 8192 (general observation)
Given that the number of incorrectly answered questions is 8191
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?
Explanation: 10 overs run rate is 3.8=10*3.8=38
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.
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?
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
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
Hence, minimum value of f(x) is 5/3
6. If logx (0.1) = -1/3, then the value of x is :
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?
ans is x= 300*3/50*6
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?
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?
Explanation: Final Price = Initial price + Initial price x 20/100
= Initial price x (1+20/100)
10. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
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.