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Quantitative Aptitude

NUMERICAL ABILITY COMBINED MCQs

Total Questions : 450 | Page 37 of 45 pages
Question 361. The average weight of 15 girls was recorded as  54 kgs. If the weight of the teacher was added the average increased by two kgs. What was the teacher's weight?
  1.    75 Kgs
  2.    95 Kgs
  3.    78 Kgs
  4.    86 Kgs
  5.    None of these
 Discuss Question
Answer: Option D. -> 86 Kgs


Weight of the teacher = 54 + 2 * 6 = 86 kg


Question 362. Vikram scored 72 percent marks in five subjects together; viz; Hindi, Science, Maths, English and Sanskrit together, wherein the maximum marks of each subject were 100. How  many marks did Vikram score in Science if he scored 80 marks in Hindi, 76 marks in Maths and 65 marks in English?
  1.    72
  2.    69
  3.    59
  4.    71
  5.    None of these
 Discuss Question
Answer: Option B. -> 69


Total marks obtained by Vikram

= (500*72)/100 = 360

His marks in Science = 360-(80+70+76+65)

= 360-291 = 69



Question 363. The sum of 15% of a positive number and 10% of the same number is 70. What is twice of that number?
  1.    440
  2.    280
  3.    560
  4.    140
  5.    None of these
 Discuss Question
Answer: Option C. -> 560


Let the number be x

∴ (x * 25)/100 = 70

=> x = (70 * 100)/25 = 280

∴ Required answer = 2 * 280 = 560


Question 364. The respective ratio between Pooja's, Prarthana's and Falguni's monthly income is 53:70:57:. If Prarthana's annual income is Rs.4,20,000, what is the sum of Pooja's and Falguni's annual incomes?(In some cases monthly income and in some cases annual income is used.)
  1.    Rs. 5, 92, 500
  2.    Rs. 6, 83, 500
  3.    Rs. 6, 60, 000
  4.    Rs. 7, 79, 200
  5.    None of these
 Discuss Question
Answer: Option C. -> Rs. 6, 60, 000


Sum of Pooja's and Falguni's annual incomes

= Rs.((53+57)/70 * 420000) 

= Rs. 660000


Question 365. Find the average of the following set of scores:

152. 635, 121, 423, 632, 744, 365, 253, 302

  1.    403
  2.    396
  3.    428
  4.    383
  5.    None of these
 Discuss Question
Answer: Option A. -> 403


Required average

= (152+635+121+423+632+744+365+253+302)/9

= 3627/9 = 403



Question 366. Riya, Manasvi and Pintu start running around a circular stadium and complete one round in 24 seconds, 6 seconds and 14 seconds respectively. In how much time will they meet again at the starting point?
  1.    1 min. 32 seconds
  2.    4 min. 8 seconds
  3.    3 min. 25 seconds
  4.    2 min. 48. seconds
  5.    None of these
 Discuss Question
Answer: Option D. -> 2 min. 48. seconds


Required time = LCM of 24, 6 and 14 seconds

= 168 seconds

= 2 minutes 48 seconds


Question 367. The perimeter of a square is one-fourth the perimeter of a rectangle. If the perimeter of the square is 44 cms and the length of the rectangle is 51 cms, what is the difference between the breadth of the rectangle and the side of the square?
  1.    30 cm
  2.    18 cm
  3.    26 cm
  4.    32 cm
  5.    None of these
 Discuss Question
Answer: Option C. -> 26 cm


Perimeter of rectangle = 4 * 44

= 176 cm.

Width of rectangle

= (176/2) - 51 = 37 cm.

Side of square

= Perimeter/4 = 44/4 = 11 cm.

∴ Required Difference = 37 - 11 = 26 cm


Question 368. On children's day sweets were to be equally distributed among 200 children, But on that particular day 40 children remained absent; hence each child got 2 sweets extra. How many sweets were distributed?
  1.    3000
  2.    1500
  3.    2000
  4.    1600
  5.    Cannot be determined
 Discuss Question
Answer: Option D. -> 1600


Let the total number of sweets be x,

∴ x/160 - x/200 = 2

=>(5x-4x)/800 = 2

=> x = 800 * 2

=> x = 1600


Question 369. A 240 meter long train crosses a platform twice its length in 2 minutes. What is the speed of the train ?
  1.    8 m/sec
  2.    4 m/sec
  3.    6 m/sec
  4.    Cannot be determined
  5.    None of these
 Discuss Question
Answer: Option C. -> 6 m/sec


Speed of train = Length of (platform+train) / Time taken to crossing

= (480+240)/(2*60) m/sec

= 6 m/sec


Question 370. What is the difference between the compound interest and simple interest accured on an amount of Rx. 12,000 at the end of three years at the rate of 12%?
  1.    Rs. 539.136
  2.    Rs. 602.242
  3.    Rs. 495.248
  4.    Rs. 488.322
  5.    None of these
 Discuss Question
Answer: Option A. -> Rs. 539.136


S.I = (Principal * Time * Rate)/100
= (12000 * 3 * 12) / 100 = Rs. 4320
C.I = P[(1 + R/100)T - 1]
= 12000[(1 + 12/100)3 - 1]
= 12000[(28/25)3 - 1]
= 12000[(21952/15652) - 1]
= 12000 * 6327/15625
= Rs. 4853.136
Difference = 4859.136 - 4320
= Rs. 539.136


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