Arithmetic Reasoning Questions and Answers

This Article consist of most important ” Arithmetic Reasoning Questions and Answers ” topic that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.

Question : 1    A woman says, “If you reverse my own age, the figures represent my husband’s age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum.” The woman’s age is

A. 23 years
B. 34 years
C. 45 years
D. None of these

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Correct Answer :    C
Explanation :
Let x and y be the ten’s and unit’s digits respectively of the numeral denoting the woman’s age.

Then, woman’s age = (10X + y) years; husband’s age = (10y + x) years.

Therefore (10y + x)- (10X + y) = (1/11) (10y + x + 10x + y)

(9y-9x) = (1/11)(11y + 11x) = (x + y) 10x = 8y x = (4/5)y

Clearly, y should be a single-digit multiple of 5, which is 5.

So, x = 4, y = 5.

Hence, woman’s age = 10x + y = 45 years.

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Question : 2    A, B, C, D and E play a game of cards. A says to B, “If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has.” A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?

A. 22
B. 23
C. 25
D. 35

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Correct Answer :    C
Explanation :
Clearly, we have :
B-3 = E …(i)
B + 3 = D …(ii)
A+B = D + E+10 …(iii)
B = C + 2 …(iv)
A+B + C + D + E= 133 …(v)

From (i) and (ii), we have : 2 B = D + E …(vi)

From (iii) and (vi), we have : A = B + 10 …(vii)

Using (iv), (vi) and (vii) in (v), we get:

(B + 10) + B + (B – 2) + 2B = 133 5B = 125 B = 25.

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Question : 3   An institute organised a fete and 1/5 of the girls and 1/8 of the boys participated in the same. What fraction of the total number of students took part in the fete ?

A. 2/13
B. 13/40
C. Data inadequate
D. None of these

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Correct Answer :    C
Explanation :
No answer description available for this question.

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Question : 4    Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A ?

A. Rs. 4, Rs. 23
B. Rs. 13, Rs. 17
C. Rs. 15, Rs. 14
D. Rs. 17, Rs. 13

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Correct Answer :   B
Explanation :
Let Rs. x be the fare of city B from city A and Rs. y be the fare of city C from city A.

Then, 2x + 3y = 77 …(i) and

3x + 2y = 73 …(ii)

Multiplying (i) by 3 and (ii) by 2 and subtracting, we get: 5y = 85 or y = 17.

Putting y = 17 in (i), we get: x = 13.

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Question : 5 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

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Correct Answer :  A
Explanation :
Required sum = (80 – 3 x 3) years = (80 – 9) years = 71 years.

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