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Quantitative Aptitude

NUMERICAL ABILITY COMBINED MCQs

Total Questions : 450 | Page 3 of 45 pages
Question 21. What is the least number to be added to 4523 to make it a perfect square ?
  1.    101
  2.    34
  3.    238
  4.    121
  5.    None of these
 Discuss Question
Answer: Option A. -> 101


67 * 67 = 4489

68 * 68 = 4624

Required number

= 4624 - 4523 = 101


Question 22. The product of two consecutive even numbers is 7568. What is 150% of the sum of the two numbers?
  1.    204
  2.    261
  3.    304
  4.    198
  5.    None of these
 Discuss Question
Answer: Option B. -> 261


7568 = 86 * 88

Sum = 86 + 88 = 174

150% of 174

(174 * 150)/100 = 261


Question 23. The average age of a man and his son is 30 years. The ratio of their ages four years ago was 10:3 respectively. What is the difference between the present ages of the man and his son?
  1.    28 years
  2.    16 years
  3.    26 years
  4.    44 years
  5.    None of these
 Discuss Question
Answer: Option A. -> 28 years


Four years ago,

Father's age = 10x years

Son's age = 3x years

10x + 3x + 8 = 60

=> 13x = 60 - 8 = 52

=>x = 4

Required difference = 7x = 7 * 4 = 28 years


Question 24. Length of the floor of rectangular auditorium is 6 meter more than the radius of a circle with a circumference of 572 m. The perimeter of the floor of the rectangular auditorium is 356 m. What will be cost of flooring the auditorium (Only the floor of the auditorium), if the cost of flooring is Rs. 12/m2
  1.    Rs. 87954
  2.    Rs. 91236
  3.    Rs 94248
  4.    Rs. 75490
  5.    None of these
 Discuss Question
Answer: Option C. -> Rs 94248


Circumference of circle = 2Ï€r

=> 572 = 2 * 22/7 * r

=> r = (572 * 7)/2*22  = 91

Length of floor = 91+6 = 97 metre = l

2(l+b) = 356

2(97 + b) = 178

=> b = 178 - 97 = 81 metre

Area of floor = 97 * 81 = 7857 sq.meter

Required cost = 12 * 7857 =Rs. 94284 


Question 25. a car covers a distance of 528 km. in a certain time at a speed of 66 km/hr. How much distance would a truck cover at an average speed which 24 km/hr less than that of the speed of the car in time which is 7 hours more than that taken by the car?
  1.    336 km
  2.    682 km
  3.    598 km
  4.    630 km
  5.    None of these
 Discuss Question
Answer: Option D. -> 630 km


Time taken by car = 528/66 = 8 hours

Case II,

Time = 15 hours

Speed = 66 - 24 = 42 kmph

Distance covered by truck =Speed  * Time

= 15 * 42 = 630 km



Question 26. 12 women alone can complete a piece of work in 5 days, where as 3 women and 9 children together can complete the same piece of work in 10 days. In how many days can 36 children complete the same piece of work ?
  1.    10 days
  2.    2 days
  3.    5 days
  4.    8 days
  5.    None of these
 Discuss Question
Answer: Option C. -> 5 days


60 women will do the work in 1 day.
30 women and 90 children together will do the work in 1 day.
Therefore, 60 W = 30 W + 90 C => 30W = 90C => 1W = 3C Therefore, 3W + 9C = 18C
M1 D1 = M2 D2
=> 18 * 10 = 36 * D2 => D2 = (18 * 10)/36 = 5 days


Question 27. The cost of 5 sharpeners and 14 pencils is Rs.56 . What would be the cost of 15 sharpeners and 42 pencils?
  1.    Rs.112
  2.    Rs.224
  3.    Rs.186
  4.    Rs.164
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these


let the cost of 1 sharpener be Rs.x and that of 1 pencil be Rs.y

5x+14y = 56 

Multiplying both sides by 3, 15x + 42y = 56 * 3 

= Rs. 168


Question 28. The average of four consecutive even numbers P, Q, R and  S respectively is 55. What is the product of Q and S?
  1.    3123
  2.    3135
  3.    3132
  4.    3125
  5.    None of these
 Discuss Question
Answer: Option C. -> 3132


x + x+2 + x+4 + x+6 = 55 * 4 

=> 4x + 12 = 220

=> 4x = 220 - 12 

=> x = 208 / 4 

=> x = 52 

P=52  Q=54  R=56 and S=58

Therefore Q * S = 54 * 58 = 3132



Question 29. The sum of 35% of a number and 12% of the same number is 3055. What is the 72% of that number ?
  1.    4685
  2.    4680
  3.    4675
  4.    4670
  5.    None of these
 Discuss Question
Answer: Option B. -> 4680


Let the number be x

(35+12)% of x = 3055

x*47 / 100 = 3055 

=> x = 6500

72% of 6500 = 72 * 6500 / 100 

= 72 * 65 = 4680


Question 30. What is the least number that can be added to 3500 to make it a perfect square?
  1.    200
  2.    169
  3.    100
  4.    25
  5.    None of these
 Discuss Question
Answer: Option C. -> 100


59 * 59 = 3481

60 * 60 = 3600

Therefore Required number

= 3600 - 3500 = 100


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