CAT Practice Question and Answer
8Q: The minimum number of half years in which a sum of money kept at 60% compound interest will be quadrupled is ? 2212 05b5cc77fe4d2b4197775016f
5b5cc77fe4d2b4197775016f- 12false
- 24false
- 33false
- 46true
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Answer : 4. "6"
Explanation :
Answer: D) 6 Explanation: Let us assume Amount be 100 Rs and we calculate in CI First year 60% of 100 = 60 amount (100+60) is 160 Second year 60% of 160 = 96 amount (160+96) is 256 Third year 60% of 256 =153.6 amount (256+153.6) is 409.6 Here the Amount of 100 Rs is quadrapled in 3 years. One year contains 2 half years Three year has 6 half years. Therefore, It takes 6 half years.
Q: If the cost price of a certain object doubles, then the loss gets tripled of what it was initially. The initial loss % was ? 11479 05b5cc77fe4d2b41977750174
5b5cc77fe4d2b41977750174- 10 %false
- 225 %false
- 375 %false
- 450 %true
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Answer : 4. "50 %"
Explanation :
Answer: D) 50 % Explanation: Let the cost price be x and selling price be y.Loss = x – y When the cost price doubles, the loss gets tripled.So it becomes like this, 2x – y = 3(x-y) => x = 2y Loss % = (loss/ C.P) x 100 = [(2y-y)/2y] x 100= 50 %
Q: Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet? 10105 15b5cc77fe4d2b4197775016a
5b5cc77fe4d2b4197775016a- 16.52false
- 28.14false
- 34.18true
- 45.02false
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Answer : 3. "4.18"
Explanation :
Answer: C) 4.18 Explanation: Distance to be covered = πD = 40π km Relative speed of bikers = 16 + 14 = 30 kmph. Now, time=distancespeed = 40π30 = 4.18 hrs.
Q: From a bunch of flowers having 16 red roses and 14 white roses, four flowers have to be selected. In how many different ways can they be selected such that at least one red rose is selected? 1851 05b5cc77ae4d2b41977750165
5b5cc77ae4d2b41977750165- 127405false
- 226584false
- 326585false
- 427404true
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Answer : 4. "27404"
Explanation :
Answer: D) 27404 Explanation: Given total 16 Red roses and 14 White roses = 30 roses Four flowers have to be selected from 30 i.e, C430= 27405 Ways Now, atleast one Red rose is selected i.e, 27405(total) - 1(all four are white roses) = 27404 ways.
Q: If log 64 = 1.8061, then the value of log 16 will be (approx)? 4299 05b5cc77ae4d2b41977750160
5b5cc77ae4d2b41977750160- 11.9048false
- 21.2040true
- 30.9840false
- 41.4521false
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Answer : 2. "1.2040"
Explanation :
Answer: B) 1.2040 Explanation: Given that, log 64 = 1.8061 i.e log43=1.8061 --> 3 log 4 = 1.8061 --> log 4 = 0.6020 --> 2 log 4 = 1.2040 ⇒log42=1.2040 Therefore, log 16 = 1.2040
Q: Directions for question: There are six persons P, Q, R, S, T and U. R is the sister of U, Q is the brother of T’s Husband, S is the father of P and Grandfather of U. There are two fathers, three brothers and a mother in the group. Who is the mother? 19250 05b5cc77ae4d2b4197775015b
5b5cc77ae4d2b4197775015b- 1Sfalse
- 2Ttrue
- 3Qfalse
- 4Rfalse
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Answer : 2. "T"
Explanation :
Answer: B) T Explanation: R is the sister of U Q is the brother of T’s Husband S is the father of P and Grandfather of U Grouping all the clues Two fathers : P,S Three brothers : Q&P are brothers.U should be male and the brother of R T is the mother
Q: Four ladies A, B, C and D and four gentlemen E, F, G and H are sitting in a circle round a table facing each other. Directions: (1) No two ladies or two gentlemen are sitting side by side. (2) C, who is sitting between G and E is facing D. (3) F is between D and A and is facing G. (4) H is to the right of B. Question: 1. Who are immediate neighbours of B? 2. E is facing whom? 10904 05b5cc77ae4d2b41977750156
5b5cc77ae4d2b41977750156- 1G & H , Htrue
- 2F & H , Bfalse
- 3E & F , Ffalse
- 4E & H , Gfalse
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Answer : 1. "G & H , H"
Explanation :
Answer: A) G & H , H Explanation: From the directions given : From the fig. it is clear that 1) neighbours of B are G , H. 2) E is facing H.
Q: How many remainders are possible if 16n is divided by 9 for any positive integral value of n ? 2021 05b5cc77ae4d2b41977750151
5b5cc77ae4d2b41977750151- 11false
- 22false
- 33true
- 44false
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Answer : 3. "3"
Explanation :
Answer: C) 3 Explanation: When 16nis divided by 9, we have 1619, remainder = 7 1629, remainder = 4 1639, remainder = 1 1649, remainder = 7 1659, remainder = 4 1669, remainder = 1 So, we have cyclicity of 3 factors i.e 7,4,1. Hence only 3 remainders are possible.