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Reasoning Aptitude

ARITHMETIC REASONING MCQs

Arithmetical Reasoning

Total Questions : 278 | Page 23 of 28 pages
Question 221. The total number of digits used in numbering the pages of a book having 366 pages is
  1.    732
  2.    990
  3.    1098
  4.    1305
 Discuss Question
Answer: Option B. -> 990
Total number of digits
= (No. of digits in 1- digit page nos. + No. of digits in 2-digit page nos. + No. of digits in 3- digit page nos.)
= (1 x 9 + 2 x 90 + 3 x 267) = (9 + 180 + 801) = 990.
Question 222. Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
  1.    23 years
  2.    25 years
  3.    33 years
  4.    35 years
 Discuss Question
Answer: Option A. -> 23 years
Ayush's present age = 10 years.
His mother's present age = (10 + 20) years = 30 years.
Ayush's father's present age = (30 + 5) years = 35 years.
Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.
Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.
Question 223. At a dinner party every two guests used a bowl of rice between them, every three guests used a bowl of dal between them and every four used a bowl of meat between them. There were altogether 65 dishes. How many guests were present at the party ?
  1.    60
  2.    65
  3.    90
  4.    None of these
 Discuss Question
Answer: Option A. -> 60
Question 224. In a family, each daughter has the same number of brothers as she has sisters and each son has twice as many sisters as he has brothers. How many sons are there in the family ?
  1.    2
  2.    3
  3.    4
  4.    5
 Discuss Question
Answer: Option B. -> 3
Let d and s represent the number of daughters and sons respectively.
Then, we have :
d - 1 = s and 2 (s - 1) = d.
Solving these two equations, we get: d = 4, s = 3.
Question 225. 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
Question 226. In a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
  1.    5
  2.    7
  3.    10
  4.    12
 Discuss Question
Answer: Option B. -> 7
Let the number of cows be x and the number of hens be y.
Then, 4x + 2y = 2 (x + y) + 14 ⇔ 4x + 2y = 2x + 2y + 14 ⇔ 2x = 14 ⇔ x = 7.
Question 227. I have a few sweets to be distributed. If I keep 2, 3 or 4 in a pack, I am left with one sweet. If I keep 5 in a pack, I am left with none. What is the minimum number of sweets I have to pack and distribute ?
  1.    25
  2.    37
  3.    54
  4.    65
 Discuss Question
Answer: Option A. -> 25
Clearly, the required number would be such that it leaves a remainder of 1 when divided by 2, 3 or 4 and no remainder when divided by 5. Such a number is 25.
Question 228. A father tells his son, "I was of your present age when you were born". If the father is 36 now, how old was the boy five years back ?
  1.    13
  2.    15
  3.    17
  4.    20
 Discuss Question
Answer: Option A. -> 13
Let the father's age be x and the son's age be y.
Then, x - y = y or x = 2y,
Now, x = 36. So, 2y = 36 or y = 18.
Therefore Son's present age = 18 years.
So, son's age 5 years ago = 13 years.
Question 229. If a clock takes seven seconds to strike seven, how long will it take to strike ten ?
  1.    7 seconds
  2.    9 seconds
  3.    10 seconds
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these
Question 230. A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed
  1.    30 birds
  2.    60 birds
  3.    72 birds
  4.    90 birds
 Discuss Question
Answer: Option A. -> 30 birds

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