Arithmetic Reasoning

Arithmetic Reasoning

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Question 1
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
Question 1 Explanation: 
Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.
Question 2
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
Question 2 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.
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
Question 4
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
24
D
25
Question 4 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.
Question 5
A girl counted in the following way on the fingers of her left hand : She started by calling the thumb 1, the index finger 2, middle finger 3, ring finger 4, little finger 5 and then reversed direction calling the ring finger 6, middle finger 7 and so on. She counted upto 1994. She ended counting on which finger ?
A
Thumb
B
Index finger
C
Middle finger
D
Ring finger
Question 5 Explanation: 
Clearly, while counting, the numbers associated to the thumb will be : 1, 9,17, 25,..... i.e. numbers of the form (8n + 1). Since 1994 = 249 x 8 + 2, so 1993 shall correspond to the thumb and 1994 to the index finger.
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