CAT Practice Question and Answer
8Q: Rs.1200 divided among P, Q and R. P gets half of the total amount received by Q and R. Q gets one-third of the total amount received by P and R. Find the amount received by R ? 5108 05b5cc6e1e4d2b4197774ebd9
5b5cc6e1e4d2b4197774ebd9- 1Rs. 1100false
- 2Rs. 500true
- 3Rs. 1200false
- 4Rs. 700false
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Answer : 2. "Rs. 500"
Explanation :
Answer: B) Rs. 500 Explanation: Let the amounts to be received by P, Q and R be p, q and r.p + q + r = 1200p = 1/2 (q + r) => 2p = q + r Adding 'p' both sides, 3p = p + q + r = 1200=> p = Rs.400 q = 1/3 (p + r) => 3q = p + r Adding 'q' both sides, 4q = p + q + r = 1200=> q = Rs.300 r = 1200 - (p + q) => r = Rs.500.
Q: Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x' ? 9591 05b5cc6e1e4d2b4197774ebcf
5b5cc6e1e4d2b4197774ebcf- 14false
- 210false
- 38false
- 45true
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Answer : 4. "5"
Explanation :
Answer: D) 5 Explanation: If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.V - x = A + x --- (1)If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)From (1) we have V - A = 2xSubstituting V - A = 2x in (2)6x = 30 => x = 5.
Q: Find the odd one out of the group ? 1653 05b5cc6e1e4d2b4197774ebca
5b5cc6e1e4d2b4197774ebca- 1708false
- 2392true
- 3618false
- 4816false
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Answer : 2. "392"
Explanation :
Answer: B) 392 Explanation: The sum of the digits in 708, 618 and 816 is 15, but not in 392.
Q: How is my father's brother's only sibling's mother related to my sister's only brother ? 3374 05b5cc6e1e4d2b4197774ebc0
5b5cc6e1e4d2b4197774ebc0- 1Neicefalse
- 2Auntfalse
- 3Motherfalse
- 4Grand-mothertrue
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Answer : 4. "Grand-mother"
Explanation :
Answer: D) Grand-mother Explanation: My father's brother's only sibling is my father. My father's mother is my grandmother. My sister's only brother is myself. So she is my Grandmother.
Q: A drink vendor has 368 liters of Maaza, 80 liters of Pepsi and 144 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn't want to mix any two drinks in a can. What is the least number of cans required ? 1701 05b5cc6e1e4d2b4197774ebc5
5b5cc6e1e4d2b4197774ebc5- 147false
- 246false
- 337true
- 435false
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Answer : 3. "37"
Explanation :
Answer: C) 37 Explanation: The number of liters in each can = HCF of 80, 144 and 368 = 16 liters.Number of cans of Maaza = 368/16 = 23Number of cans of Pepsi = 80/16 = 5Number of cans of Sprite = 144/16 = 9The total number of cans required = 23 + 5 + 9 = 37 cans.
Q: Five men and nine women can do a piece of work in 10 days. Six men and twelve women can do the same work in 8 days. In how many days can three men and three women do the work ? 4371 05b5cc6e1e4d2b4197774ebbb
5b5cc6e1e4d2b4197774ebbb- 118 daysfalse
- 220 daystrue
- 316 daysfalse
- 414 daysfalse
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Answer : 2. "20 days"
Explanation :
Answer: B) 20 days Explanation: (5m + 9w)10 = (6m + 12w)8 => 50m + 90w = 48w + 96 w => 1m = 3w 5m + 9w = 5m + 3m = 8m 8 men can do the work in 10 days. 3m +3w = 3m + 1w = 4m So, 4 men can do the work in (10 x 8)/4 = 20 days.
Q: A work which could be finished in 11 days was finished 4 days earlier after 4 more men joined. The number of men employed was ? 1730 05b5cc6e1e4d2b4197774ebb6
5b5cc6e1e4d2b4197774ebb6- 17true
- 28false
- 39false
- 410false
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Answer : 1. "7"
Explanation :
Answer: A) 7 Explanation: As the work is sameM1D1 = M2D2 Here Let the number of men employed was M=> 11M = 7(M+4)=> 11M - 7M = 28=> M = 7
Q: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? 2976 05b5cc6e1e4d2b4197774ebb1
5b5cc6e1e4d2b4197774ebb1- 1Rs. 820false
- 2Rs. 830true
- 3Rs. 840false
- 4Rs. 850false
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Answer : 2. "Rs. 830"
Explanation :
Answer: B) Rs. 830 Explanation: Let the total amount in the partnership be 'x'.Then A's share = x/3B's share = x/4C's share = x/5D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.