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Quantitative Aptitude

SIMPLIFICATION MCQs

Simplication

Total Questions : 1537 | Page 4 of 154 pages
Question 31.

In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ?

  1.    160
  2.    175
  3.    180
  4.    195
 Discuss Question
Answer: Option B. -> 175

Suppose the man works overtime for x hours.


Now, working hours in 4 weeks = (5 x 8 x 4) = 160.


 160 x 2.40 + x x 3.20 = 432


 3.20x = 432 - 384 = 48


 x = 15.


Hence, total hours of work = (160 + 15) = 175.

Question 32.

Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?

  1.    256
  2.    432
  3.    512
  4.    640
  5.    None of these
 Discuss Question
Answer: Option C. -> 512

Let total number of children be x.


Then, x  \(\times\frac{1}{8}x = \frac{x}{2}\times16\Leftrightarrow x = 64.\)


Therefore Number of notebooks =  \(\frac{1}{8}x^{2} = \left(\frac{1}{8}\times64\times64\right) = 512\)

Question 33.

A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:

  1.    22
  2.    23
  3.    24
  4.    26
 Discuss Question
Answer: Option D. -> 26

Let the number of hens be x and the number of cows be y.


Then, x + y = 48 .... (i)


  and 2x + 4y = 140       x + 2y = 70 .... (ii)


Solving (i) and (ii) we get: x = 26, y = 22.


  Therefore The required answer = 26.

Question 34.

\(\frac{(469+174)^{2}-(469-174)^{2}}{(469\times174)} =?\)

  1.    2
  2.    4
  3.    295
  4.    643
 Discuss Question
Answer: Option B. -> 4

Given exp. = \(\frac{(a+b)^{2}-(a-b)^{2}}{(ab)}\)


= \(\frac{4ab}{ab}\)


= 4 (where a = 469, b = 174.)

Question 35.

David gets on the elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ?

  1.    19
  2.    28
  3.    30
  4.    37
 Discuss Question
Answer: Option C. -> 30

Suppose their paths cross after x minutes.


Then, 11 + 57x = 51 - 63x      \(\Leftrightarrow\)   120x = 40


x = \(\frac{1}{3}\)


Number of floors covered by David in (1/3) min. =  \(\left(\frac{1}{3}\times57\right) = 19.\)


So, their paths cross at (11 +19) i.e., 30th floor.


 

Question 36. If $$\frac{{547.527}}{{0.0082}}{\text{ = }}x{\text{,}}$$   then the value of $$\frac{{547527}}{{82}}$$   is = ?
  1.    10x
  2.    100x
  3.    $$\frac{x}{{100}}$$
  4.    $$\frac{x}{{10}}$$
 Discuss Question
Answer: Option D. -> $$\frac{x}{{10}}$$
Question 37. The number of pairs of natural numbers the difference of whose squares is 45 will be ?
  1.    2
  2.    3
  3.    6
  4.    5
 Discuss Question
Answer: Option B. -> 3
Question 38. If $$\root 3 \of {{3^n}} {\text{ = 27,}}$$   then the value of n is = ?
  1.    9
  2.    6
  3.    1
  4.    3
 Discuss Question
Answer: Option A. -> 9
Question 39. The lowest temperature in the night in a city is one third more than $$\frac{1}{2}$$ the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the lowest temperature?
  1.    30 degrees
  2.    40 degrees
  3.    36 degrees
  4.    None of these
 Discuss Question
Answer: Option B. -> 40 degrees
Question 40. A millionaire bought a lot of hats $$\frac{1}{4}$$ of which were brown. The millionaire sold $$\frac{2}{3}$$ of the including $$\frac{4}{5}$$ of the brown hats. What fraction of the unsold hats were brown ?
  1.    $$\frac{1}{{60}}$$
  2.    $$\frac{1}{{15}}$$
  3.    $$\frac{3}{{20}}$$
  4.    $$\frac{3}{5}$$
  5.    $$\frac{3}{4}$$
 Discuss Question
Answer: Option C. -> $$\frac{3}{{20}}$$

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