CAT Practice Question and Answer
8Q: A person is asked to put in a basket one apple when ordered 'one', one guava when ordered 'two', one orange whe ordered 'three' and is asked to take out from the basket one apple and one guava both when ordered 'four'. The ordered sequence executed by the person is as follows : 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4 1. How many apples will be there in the basket at the end of the above order sequence ? (a) 4 (b) 3 (c) 2 (d) 1 2. How many fruits will be there in the basket at the end of the above order sequence ? (a) 13 (b) 17 (c) 9 (d) 11 5571 05b5cc754e4d2b4197774fbc3
5b5cc754e4d2b4197774fbc3- Show AnswerHide Answer
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Answer :
Explanation :
1. Answer (c) Each time we order 1, one apple is added to the basket but each time when 4 is ordered, one apple is removed from it. Required number of apples = number of 1's - number of 4's = 6 - 4 = 2 2. Answer (d) Each time we order 1, 2 or 3, one fruit is added to the basket but when ever we order 4, two fruits are removed from it. Required number = Number of 1's + Number of 2's + Number of 3's - 2 x (Number of 4's) = 6 + 6 + 7 - (2x4) = 19 - 8 = 11.
Q: How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines? 2471 05b5cc754e4d2b4197774fbb4
5b5cc754e4d2b4197774fbb4- 1215false
- 2315true
- 3415false
- 4115false
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Answer : 2. "315"
Explanation :
Answer: B) 315 Explanation: Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect. Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines. Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315
Q: A polygon has 44 diagonals, then the number of its sides are ? 1086 05b5cc754e4d2b4197774fbb9
5b5cc754e4d2b4197774fbb9- 113false
- 29false
- 311true
- 47false
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Answer : 3. "11"
Explanation :
Answer: C) 11 Explanation: Let the number of sides be n. The number of diagonals is given by nC2 - n Therefore, nC2 - n = 44, n>0 nC2 - n = 44 n2 - 3n - 88 = 0 n2 -11n + 8n - 88 = 0 n(n - 11) + 8(n - 11) = 0 n = -8 or n = 11. As n>0, n will not be -8. Therefore, n=11.
Q: There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ? 3741 05b5cc754e4d2b4197774fbaf
5b5cc754e4d2b4197774fbaf- 1105true
- 27! x 6!false
- 37!/5!false
- 4420false
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Answer : 1. "105"
Explanation :
Answer: A) 105 Explanation: Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room, Then, 7C1 x 6C2 x 4C4 = 7 x 15 x 1 = 105
Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1183 05b5cc754e4d2b4197774fb9f
5b5cc754e4d2b4197774fb9f- 130,400true
- 230,200false
- 334,600false
- 438,400false
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Answer : 1. "30,400"
Explanation :
Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,.... We know the sum of n terms nn+12 Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.
Q: "I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ? 11343 05b5cc754e4d2b4197774fba4
5b5cc754e4d2b4197774fba4- 1Father = 50; Son =14false
- 2Father = 40; Son =24true
- 3Father = 60; Son =4false
- 4Father = 48; Son =16false
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Answer : 2. "Father = 40; Son =24"
Explanation :
Answer: B) Father = 40; Son =24 Explanation: Let the present age of the man be 'P' and son be 'Q',Given, P + Q = 64 or Q = (64 - P)Now the man says "I am five times as old as you were, when I was as old as you are",So, P = 5[B - (P - Q)]We get 6P = 10Q,Substitute value for Q,6P = 10(64 - P),Therefore P = 40, Q = 24.
Q: What least number must be substracted from 627349 so that the remaining number is divisible by 15 ? 1026 05b5cc754e4d2b4197774fb9a
5b5cc754e4d2b4197774fb9a- 11false
- 22false
- 33false
- 44true
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Answer : 4. "4"
Explanation :
Answer: D) 4 Explanation: On dividing 627349 by 15, we get remainder = 4.Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.
Q: A six-digit number is formed by repeating a three-digit number; for example, 404404 or 415415 etc. Any number of this form is always exactly divisible by 1274 05b5cc754e4d2b4197774fb95
5b5cc754e4d2b4197774fb95- 1101false
- 2901false
- 31001true
- 4789false
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Answer : 3. "1001"
Explanation :
Answer: C) 1001 Explanation: Here by trial and error method, we can obseve that 404404 = 404 x 1001; 415415 = 415 x 1001, etc. So, any number of this form is divisible by 1001.