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Quantitative Aptitude

NUMERICAL ABILITY COMBINED MCQs

Total Questions : 450 | Page 40 of 45 pages
Question 391. The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 56 cms. and the length of the rectangle and the side of the square?
  1.    7 cms
  2.    9 cms
  3.    11 cms
  4.    5 cms
  5.    None of these
 Discuss Question
Answer: Option B. -> 9 cms


Perimeter of square = 4 * Side

=>Side = 56/4  =  14cm.

Perimeter of rectangle  = 56/2  = 28cm

Breadth = 28/2 - 9 = 5 cm

Required difference = 14- 5 = 9cm


Question 392. Find the missing number if all average of all the eight numbers is 474.

533, 128, 429, 225, ______, 305, 601, 804

  1.    767
  2.    781
  3.    776
  4.    758
  5.    None of these
 Discuss Question
Answer: Option A. -> 767


(533 + 128 + 429 + 225 + x + 305 + 601 + 804)/8 = 474

=> 3025 + x = 8 * 474

=> x = 3792 - 3025 = 767



Question 393. A man riding a bicycle, completes one lap of a square field along its perimeter at the speed of 39.6 km/hr in 1 minute 20 seconds. What is the area of the field?
  1.    52900 sq.mts
  2.    44100 sq.mts
  3.    48400 sq.mts
  4.    Cannot be determined
  5.    None of these
 Discuss Question
Answer: Option C. -> 48400 sq.mts


Perimeter of square = Distance covered by man in 80 seconds = (39.6 * 5/18  * 18) metre

= 880 metre

Side of square = 880/4 = 220

Area of square = 220 * 220 = 48400 sq.metre


Question 394. A truck covers distance of 256 km. at the speed of 32 kms./hr. What is the average speed of a car which travels a distance of   160 kms. more than the truck in the same time?
  1.    46 kmph
  2.    52 kmph
  3.    49 kmph
  4.    64 kmph
  5.    None of these
 Discuss Question
Answer: Option B. -> 52 kmph


Time taken by truck = Distance/Speed  = 256/32  =  8 hours

Distance covered by car in 8 hours = 256 + 160 = 416 km

Average speed of car = 416/8 = 52 kmph


Question 395. Sushil got 103 marks in Hindi, 111 marks in Science, 98 marks in Sanskrit, 110 marks in Maths and 88 marks in English. If the maximum marks of each subject are equal and if Sushil scored 85 percent marks in all the subjects together, what are the maximum marks of each subject ?
  1.    110
  2.    120
  3.    115
  4.    100
  5.    None of these
 Discuss Question
Answer: Option B. -> 120


Total marks obtained by Sushil = 103 + 111 + 98 + 110 + 88

= 510

Total maximum marks = x (let)

(x * 85)/100 = 510

x = 51000/85

x = 600

Maximum marks of each subject = 600/5 = 120


Question 396. At present Tarun is twice Visahl's age and half of Tanvi's age. After four years Tarun will be 1.5 times Vishal's age and Tanvi will be 2.5 time Vishal's age then, What is Tanvi's present age?
  1.    12 years
  2.    8 years
  3.    20 years
  4.    16 years
  5.    None of these
 Discuss Question
Answer: Option D. -> 16 years


Vishal's present age = x years

Tarun's present age = 2x years

Tanvi's present age = 4x years

After 4 years.

Tarun's age = 1.5 * Vishal's age 

=> 2x + 4 = 1.5(x+4)

=> 2x - 1.5x = 2

=>0.5x = 2 => x = 2/0.5 = 4

Tanvi's present age = 16 years.


Question 397. What will come in place of both the question marks(?) in the following question? 
(?)1.6/96 = 24/(?)0.4
  1.    58
  2.    -38
  3.    46
  4.    36
  5.    -48
 Discuss Question
Answer: Option E. -> -48




Question 398. On teacher's day 33200 sweets were to be equally distributed amongst a certain number of children. But on that particular day 80 children remained absent hence each child got 2 sweets extra. How many children were originally supposed to be there?
  1.    320
  2.    500
  3.    540
  4.    400
  5.    Cannot be determined
 Discuss Question
Answer: Option D. -> 400


Let the original number of children be x.

3200/(x-80) - 3200/x  = 2

=> 3200((x-x+80)/(x(x-80))) = 2

=> x(x-8) = 1600 * 80

=> x(x-80) = 400(400-80)

=>x = 400



Question 399. The difference between the compound interest and simple interest accrued on an amount at the end of three years at the rate of 15% is Rs. 453.6. What is the amount ?
  1.    Rs.4500
  2.    Rs. 6400
  3.    Rs. 7200
  4.    Rs. 8000
  5.    None of these
 Discuss Question
Answer: Option B. -> Rs. 6400


C.I = P[(1+R/100)T - 1 ]
= P[(1+15/100)3 - 1]
= P[(23/20)3 - 1]
= P * 4167/8000
Intrest = (P * 15 * 3)/100 = 9P/20
4167P/8000 - 9P/20 = 4536
=> (4176P - 3600P)/8000 = 453.6
=> 567P = 453.6 * 8000
=> P = 453.6 * 8000/567
= Rs. 6400


Question 400. Pankaj, Sanjay and Pratima start running around a circular stadium and complete one round in 12 seconds, 8 seconds and 15 seconds respectively. In how much time will they meet again at the starting point?
  1.    3 minutes 30 seconds
  2.    1 minute
  3.    3 minutes
  4.    2 minutes
  5.    None of these
 Discuss Question
Answer: Option D. -> 2 minutes


Required time = LCM of 12, 8 and 15 seconds = 120 seconds means 2 minutes.


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