Practice MCQ Questions and Answer on Arithmetic Reasoning

31.

The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?

(A) 71 years
(B) 72 years
(C) 74 years
(D) 77 years

Solution:

 Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.

32.

If a clock takes seven seconds to strike seven, how long will it take to strike ten ?

(A) 7 seconds
(B) 9 seconds
(C) 10 seconds
(D) None of these

33.

The total number of digits used in numbering the pages of a book having 366 pages is

(A) 732
(B) 990
(C) 1098
(D) 1305

Solution:

 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.

34.

A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?

(A) 100
(B) 104
(C) 108
(D) None of these

Solution:

 Since each pole at the corner of the plot is common to its two sides, so we have : Total number of poles needed = 27 x 4 - 4 = 108 - 4 = 104.

35.

A player holds 13 cards of four suits, of which seven are black and six are red. There are twice as many diamonds as spades and twice as many hearts as diamonds. How many clubs does he hold ?

(A) 4
(B) 5
(C) 6
(D) 7

Solution:

 Clearly, the black cards are either clubs or spades while the red cards are either diamonds or hearts. Let the number of spades be x. Then, number of clubs = (7 - x). Number of diamonds = 2 x number of spades = 2x; Number of hearts = 2 x number of diamonds = 4x. Total number of cards = x + 2x + 4x + 7 - x = 6x + 7. Therefore 6x + 7 = 13 ⇔ 6x = 6 ⇔ x - 1. Hence, number of clubs = (7 - x) = 6.

36.

When Rahul was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rahul's brother is 6 years older than him and his mother is 3 years younger than his father, how old was Rahul's sister when he was born ?

(A) 7 years
(B) 10 years
(C) 14 years
(D) 19 years

Solution:

 When Rahul was born, his brother's age = 6 years; His father's age = (6 + 32) years = 38 years, His mother's age = (38 - 3) years = 35 years; His sister's age = (35 - 25) years = 10 years.

37.

A tailor had a number of shirt pieces to cut from a roll of fabric. He cut each roll of equal length into 10 pieces. He cut at the rate of 45 cuts a minute. How many rolls would be cut in 24 minutes ?

(A) 32 rolls
(B) 54 rolls
(C) 108 rolls
(D) 120 rolls

Solution:

 Number of cuts made to cut a roll into 10 pieces = 9.Therefore Required number of rolls = (45 x 24)/9 = 120.

38.

In a class, 20% of the members own only two cars each, 40% of the remaining own three cars each and the remaining members own only one car each. Which of the following statements is definitely true from the given statements ?

(A) Only 20% of the total members own three cars each.
(B) 48% of the total members own only one car each.
(C) 60% of the total members own at least two cars each.
(D) 80% of the total members own at least one car.

Solution:

 Let total number of members be 100, Then, number of members owning only 2 cars = 20. Number of members owning 3 cars = 40% of 80 = 32. Number of members owning only 1 car = 100 - (20 + 32) = 48. Thus, 48% of the total members own one car each.

39.

A pineapple costs Rs. 7 each. A watermelon costs Rs. 5 each. X spends Rs. 38 on these fruits. The number of pineapples purchased is

(A) 2
(B) 3
(C) 4
(D) Data inadequate

40.

A is 3 years older to B and 3 years younger to C, while B and D are twins. How many years older is C to D?

(A) 2
(B) 3
(C) 6
(D) 12

Solution:

 Since B and D are twins, so B = D. Now, A = B + 3 and A = C - 3. Thus, B + 3 = C - 3 ⇔ D + 3 = C-3 ⇔ C - D = 6.

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Practice MCQ Questions and Answer on Arithmetic Reasoning

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