CAT Practice Question and Answer
8Q: In a class of 50 students M is eighth from top. H is 20th from bottom. How many students are there between M and H? 1945 05b5cc7f3e4d2b41977751ebb
5b5cc7f3e4d2b41977751ebb- 122true
- 223false
- 324false
- 4can't be determinedfalse
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Answer : 1. "22"
Explanation :
Answer: A) 22 Explanation: M is 8th from the top. H is (50 - 20 + 1 =) 31 st from the top. Number of students between M and H = (31 - 8- 1=)22
Q: In a row of thirty boys, R is fourth from the right end and W is tenth from the left end . How many boys are there between R and W? 2431 05b5cc7f3e4d2b41977751eb6
5b5cc7f3e4d2b41977751eb6- 115false
- 216true
- 317false
- 4can't be determinedfalse
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Answer : 2. "16"
Explanation :
Answer: B) 16 Explanation: W = 10th from the left R = 4th from the right = (30 - 4 + 1= ) 27th from left No of boys between R and W = (27 - 10) - 1 = 16
Q: What should come next in the following number series? 9 8 7 6 5 4 3 2 1 8 7 6 5 4 3 2 1 7 6 5 4 3 2 1 1613 05b5cc7f2e4d2b41977751ea7
5b5cc7f2e4d2b41977751ea7- 19false
- 28false
- 37false
- 46true
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Answer : 4. "6"
Explanation :
Answer: D) 6 Explanation: Here the series is: 987654321, 87654321, 7654321, 65...
Q: 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? 5537 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: If it is possible to make a number which is the square of a two-digit odd number using the second, the fourth and the sixth digits of the number 93217648 and using each only once, which of the following is that two-digit odd number? 1377 05b5cc7f2e4d2b41977751e89
5b5cc7f2e4d2b41977751e89- 117false
- 219true
- 315false
- 421false
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Answer : 2. "19"
Explanation :
Answer: B) 19 Explanation: Second, fourth and the sixth digits of the number are 3, 1 and 6. Using these digits only once we can make 361, which is a perfect square number. Hence, our answer is 19 x 19 = 361
Q: How many such pairs of digits are there in the number 421579368 each of which has as many digits between them in the number as when they are arranged in ascending order? 6216 05b5cc7f2e4d2b41977751e93
5b5cc7f2e4d2b41977751e93- 1Nonefalse
- 2Onefalse
- 3Twofalse
- 4Threetrue
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Answer : 4. "Three"
Explanation :
Answer: D) Three Explanation: Given Number: 4 2 1 5 7 9 3 6 8 Ascending order: 1 2 3 4 5 6 7 8 9 Hence the required pairs are 12, 49, 16
Q: If the digits in the number 25673948 are arranged in ascending order from left to right, what will be the sum of the digits which are fourth from the right and third from the left in the new arrangement? 1315 05b5cc7f2e4d2b41977751e7a
5b5cc7f2e4d2b41977751e7a- 110true
- 29false
- 38false
- 46false
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Answer : 1. "10"
Explanation :
Answer: A) 10 Explanation: Given Number : 2 5 6 7 3 9 4 8 Ascending order : 2 3 4 5 6 7 8 9 Specified letters are 6 and 4 respectively. Hence, required sum = (4 + 6 = 10)
Q: The purest form of iron is 1314 05b5cc7efe4d2b41977751d76
5b5cc7efe4d2b41977751d76- 1wrought irontrue
- 2steelfalse
- 3pig ironfalse
- 4nickel steelfalse
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Answer : 1. "wrought iron"
Explanation :
Answer: A) wrought iron Explanation: Wrought Iron is the purest form of iron. It contains 0.12 to 0.25% carbon and so it is the purest form of iron.