CAT Practice Question and Answer
8Q: Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue? 6165 05b5cc7f2e4d2b41977751eac
5b5cc7f2e4d2b41977751eac- 141false
- 240false
- 328true
- 427false
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Answer : 3. "28"
Explanation :
Answer: C) 28 Explanation: Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB. We may consider the two cases as under: Case I: ←3C↔8B↔5A→21 Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40 Case II: ←3C A↔5B Number of persons between A and C = (8 - 6) = 2 ∵[C↔8B A→21B] Clearly number of persons in the queue = (3+1+2+1+21) = 28 Now, 28 < 40. So, 28 is the minimum number of persons in the queue.
Q: What is the number of digits in 333? Given that log3 = 0.47712? 6156 05b5cc7d0e4d2b41977751209
5b5cc7d0e4d2b41977751209- 112false
- 213true
- 314false
- 415false
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Answer : 2. "13"
Explanation :
Answer: B) 13 Explanation: Let Let x=333 = 333 Then, logx = 33 log3 = 27 x 0.47712 = 12.88224 Since the characteristic in the resultant value of log x is 12 ∴The number of digits in x is (12 + 1) = 13 Hence the required number of digits in 333is 13.
Q: Boy, man, uncle, fireman, grandfather are... 6142 05b5cc6dee4d2b4197774ea51
5b5cc6dee4d2b4197774ea51- 1Feminine titlesfalse
- 2Masculine titlestrue
- 3Both Feminine and Masculine titlesfalse
- 4None of the abovefalse
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Answer : 2. "Masculine titles"
Explanation :
Answer: B) Masculine titles Explanation: As they are the titles of male gender, they are called as Masculine titles.
Q: Vaunt : Flaunt :: Disparate : ? 6128 05b5cc6a0e4d2b4197774ca7b
5b5cc6a0e4d2b4197774ca7b- 1Similarfalse
- 2Homogenousfalse
- 3Contrasttrue
- 4Alikefalse
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Answer : 3. "Contrast"
Explanation :
Answer: C) Contrast Explanation: Vaunt - Vaunt means to boast or to praise about something excessively. Flaunt - Flaunt also means to boast about something or to praise something. Flaunt is the synonym of the word Vaunt. Disparate - Disparate means essentially different in its kind or unlike or not able to be compared. Then the required word is the synonym of Disparate. Here in the given options, Contrast is the only word which is similar in meaning of Disparate. Hence, Vaunt : Flaunt :: Disparate : Contrast.
Q: A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ? 6123 05b5cc72ce4d2b4197774f792
5b5cc72ce4d2b4197774f792- 164false
- 276false
- 384true
- 498false
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Answer : 3. "84"
Explanation :
Answer: C) 84 Explanation: Given total sum = Rs. 427And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.=> 3A = 4B = 7CBut given=> A + B + C = 427Now express A and B in terms of C i.e=> (7C/3) + (7C/4) + C = 427=> C = 84
Q: Find the unit digit of 4198 + 612345 + 34866 + 2411 + 1. 6081 05b5cc77fe4d2b41977750179
5b5cc77fe4d2b41977750179- 13false
- 22false
- 31true
- 40false
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Answer : 3. "1"
Explanation :
Answer: C) 1 Explanation: Given that, 4198+612345+34866+2411+1 Now Power Cycle of 4 is 4, 6 6 is 6 8 is 8, 4, 2, 6 1 is 1 4198- 198 is even number , So the unit digit value is 6 612345 - It is always 6 34866- 66/4 the remainder is 2 , So the second value is 4 2411- 11 is odd number, So the unit digit value is 4 1 - It is always 1 Total = 21 Therefore, The unit digit is 1
Q: Convent : Cloister :: Eyrie : ? 6080 05b5cc694e4d2b4197774c489
5b5cc694e4d2b4197774c489- 1Showfalse
- 2Openfalse
- 3Hidefalse
- 4Nesttrue
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Answer : 4. "Nest"
Explanation :
Answer: D) Nest Explanation: Here the first two words are synonyms. Similarly, Eyrie means a large nest. So, the synonym of Eyrie is nest. Hence, Convent : Cloister :: Eyrie : Nest.
Q: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ? 6076 05b5cc6e5e4d2b4197774ecf2
5b5cc6e5e4d2b4197774ecf2- 127 sectrue
- 231 secfalse
- 323 secfalse
- 429 secfalse
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Answer : 1. "27 sec"
Explanation :
Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.

