Arithmetic Reasoning(Reasoning Aptitude ) Questions and answers for exam Preparation

Reasoning Aptitude

ARITHMETIC REASONING MCQs

Arithmetical Reasoning

Total Questions : 278 | Page 24 of 28 pages

Question 231. In a class, 3/5 of the students are girls and rest are boys. If 2/9 of the girls and 1/4 of the boys are absent, what part of the total number of students is present ?

17/25
18/49
23/30
23/36

Discuss Question

Answer: Option C. -> 23/30

Question 232. In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of that of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother ?

40 years
45 years
50 years
60 years

Discuss Question

Answer: Option D. -> 60 years
Let the daughter's age be x years.
Then, father's age = (3x) years.
Mother's age = (3x - 9) years; Son's age = (x + 7) years.
So, x + 7 = (3x-9)/2 ⇔ 2x + 14 = 3x - 9 ⇔ x = 23.
Therefore Mother's age = (3X - 9) = (69 - 9) years = 60 years.

Question 233. If a 1 mm thick paper is folded so that the area is halved at every fold, then what would be the thickness of the pile after 50 folds ?

100 km
1000 km
1 million km
1 billion km

Discuss Question

Answer: Option D. -> 1 billion km

Question 234. First bunch of bananas has (1/4) again as many bananas as a second bunch. If the second bunch has 3 bananas less than the first bunch, then the number of bananas in the first bunch is

9
10
12
15
None of these

Discuss Question

Answer: Option D. -> 15

Question 235. Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is

18
22
42
43
None of these

Discuss Question

Answer: Option D. -> 43
Numbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60.
There are 10 such numbers.
Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60.
There are 7 such numbers of which 4 are common to the above ones. So, there are 3such uncommon numbers.
Numbers from 1 to 60, which have 6 as one of the digits are 6, 16, 26, 36, 46, 56, 60.
Clearly, there are 4 such uncommon numbers.
So, numbers 'not connected with 6' = 60 - (10 + 3 + 4) = 43.

Question 236. Aruna cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is twenty grams in weight. If she has seven pieces of the cake in all with her, how heavy was the original cake ?

120 grams
140 grams
240 grams
280 grams
None of these

Discuss Question

Answer: Option C. -> 240 grams
The seven pieces consist of 6 smaller equal pieces and one half cake piece.
Weight of each small piece = 20 g.
So, total weight of the cake = [2 x (20 x6)]g= 240 g.

Question 237. Find the number which when added to itself 13 times, gives 112.

7
8
9
11
None of these

Discuss Question

Answer: Option B. -> 8
Let the number be x. Then, x + 13x = 112 ⇔ 14x = 112 ⇔ x = 8.

Question 238. A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 71. The number of 25-paise coins is

Discuss Question

Answer: Option B. -> 124
Let the number of 20-paise coins be x. Then, number of 25-paise coins = (324 - x).
Therefore 0.20 x x + 0.25 (324 - x) = 71 ⇔ 20x + 25 (324 - x) = 7100
⇔ 5x= 1000 ⇔ x = 200. Hence, number of 25-paise coins = (324 - x) - 124.

Question 239. 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 ?

Discuss Question

Answer: Option C. -> 6
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.

Question 240. 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