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Quantitative Aptitude

QUANTITATIVE APTITUDE MIXED MCQs

Total Questions : 82 | Page 2 of 9 pages
Question 11.

The square root of 3 + √5 is :

  1.     √3 /2 + 1/√2
  2.    √3 /2 – 1/√2
  3.    √5 /2 – 1/√2
  4.    √(5/2) + √(1/2)
 Discuss Question
Answer: Option D. -> √(5/2) + √(1/2)
Question 12.

The mean temperature of Monday to Wednesday was 370C and of Tuesday to Thursday was 340C, if the temperature on Thursday was 4/5th that of Monday, then what was the temperature on Thursday?

  1.    36.50C
  2.    360C
  3.    35.50C
  4.    340C
 Discuss Question
Answer: Option B. -> 360C
Question 13.

A certain number of two digits is three times the sum of its digits. If 45 be added to it, the digits are reversed. The number is:

  1.    72
  2.    32
  3.    27
  4.    23
 Discuss Question
Answer: Option C. -> 27
Question 14.

Three years ago the average age of A and B was 18 years. While C joining them now, the average becomes 22 years. How old (in years) is C now?

  1.    24
  2.    27
  3.    28
  4.    30
 Discuss Question
Answer: Option A. -> 24
Question 15.

If 2^(2x-1) = 8^(3-x), then the value of x is:

  1.    -1
  2.    -2
  3.    2
  4.    3
 Discuss Question
Answer: Option C. -> 2
Question 16.

A man’s basic pay for a 40 hours’ week is Rs. 200. Overtimes is paid at 25% above the basic rate. In a certain week, he worked overtime and his total was Rs. 300. He therefore, worked for a total of (in hours):

  1.    56
  2.    58
  3.    62
  4.    52
 Discuss Question
Answer: Option A. -> 56

52

Question 17.

On a Rs. 10, 000 payment order, a person has choice between 3 successive discounts of 10%, 10% and 30% and 3 successive discounts of 40%, 5% and 5%. By choosing the better one he can save (in Rupees):

  1.    200
  2.    255
  3.    400
  4.    433
 Discuss Question
Answer: Option B. -> 255
Question 18.

Rs. 600 are divided among A, B, C so that Rs. 40 more than 2/5 th of A’s share, Rs. 20 more that 2/7 th of B’s share and Rs. 10 more than 9/17 th of C’s may all be equal. What is A’s share (in Rupees)?

  1.    150
  2.    170
  3.    200
  4.    280
 Discuss Question
Answer: Option A. -> 150
Let A's share be x.
According to the question,
  • 2/5 of A's share = x * 2/5
  • Rs. 40 more than 2/5 of A's share = x * 2/5 + 40
  • 2/7 of B's share = (600 - x)/3 * 2/7 = 4/21(600-x)
  • Rs. 20 more than 2/7 of B's share = 4/21(600-x) + 20
  • 9/17 of C's share = (600 - x)/3 * 9/17 = 18/17(600-x)
  • Rs. 10 more than 9/17 of C's share = 18/17(600-x) + 10
As per the question,
x * 2/5 + 40 = 4/21(600-x) + 20 = 18/17(600-x) + 10
Solving the above equation, we get
x = 150
Therefore, A's share is Rs. 150.
Explanation:
To solve this question, we can start by assuming A's share to be x and then using the given information to form an equation.
We are given that the amounts received by A, B, and C should be such that Rs. 40 more than 2/5 of A's share, Rs. 20 more than 2/7 of B's share, and Rs. 10 more than 9/17 of C's share should be equal.
Using this information, we can form an equation as shown above and solve for x.
It is important to note that we need to express the share of B and C in terms of x in order to form the equation. We can do this by using the fact that the total amount divided is Rs. 600 and that the sum of the shares of A, B, and C should be equal to Rs. 600.
Once we solve the equation, we get x = 150, which is the share of A.
Question 19.

A, B, C started a business with their investment in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year was:

  1.    5 : 6 : 10
  2.    6 : 5 :10
  3.    10 : 5 : 6
  4.    4 : 3 : 5
 Discuss Question
Answer: Option A. -> 5 : 6 : 10
Question 20.

If 9 men working 71/2 hours a day can finish a piece of work in 20 days, then how many days will be taken by 12 men, working 6 hours a day to finish the work? It is being given that 2 men of latter type work as much as 3 men of the former type?

  1.    91/2
  2.    11
  3.    121/2
  4.    13
 Discuss Question
Answer: Option C. -> 121/2

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