CAT Practice Question and Answer

Q: 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? 1965 0

  • 1
    22
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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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? 2450 0

  • 1
    15
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    17
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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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 1632 0

  • 1
    9
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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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? 5560 0

  • 1
    41
    Correct
    Wrong
  • 2
    40
    Correct
    Wrong
  • 3
    28
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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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? 1395 0

  • 1
    17
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    15
    Correct
    Wrong
  • 4
    21
    Correct
    Wrong
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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? 6241 0

  • 1
    None
    Correct
    Wrong
  • 2
    One
    Correct
    Wrong
  • 3
    Two
    Correct
    Wrong
  • 4
    Three
    Correct
    Wrong
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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? 1330 0

  • 1
    10
    Correct
    Wrong
  • 2
    9
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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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 1326 0

  • 1
    wrought iron
    Correct
    Wrong
  • 2
    steel
    Correct
    Wrong
  • 3
    pig iron
    Correct
    Wrong
  • 4
    nickel steel
    Correct
    Wrong
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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.

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