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
Answer - Option A
Explanation -
Required sum = (80 - 3 x 3) years = (80 - 9) years = 71 years.
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
Answer - Option 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.
3. 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 ?
Answer - Option 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 [latex]\Rightarrow[/latex] 5B = 125 [latex]\Rightarrow[/latex] B = 25.
Direction(4-5): In each of the following questions, you are given a combination of alphabets and/or numbers followed by four alternatives (1), (2), (3) and (4). Choose the alternative which is closely resembles the water-image of the given combination.
4. Choose the alternative which is closely resembles the water-image of the given combination.
Answer - Option D
5. <Choose the alternative which is closely resembles the water-image of the given combination.
Answer - Option B