CAT Practice Question and Answer

Q: Vinod have 20 rupees. He bought 1, 2, 5 rupee stamps. They are different in numbers by the reason of no change, the shop keeper gives 3 one rupee stamps. So how many stamps Vinod have ? 4010 0

  • 1
    10
    Correct
    Wrong
  • 2
    18
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 1. "10"
Explanation :

Answer: A) 10 Explanation: Given total rupees = 20 RsNo. of one rupee stamps = 3Now, remaining money = Rs. 17With that he buys only 2 and 5 rupee stampsLet number of Rs. 5 stamps = KLet number of Rs. 2 stamps = L5K + 2L = 17K = 3, L = 1 (possible)L = 6, K = 1 (possible)=> But given that they are different in number so, K is not equal to 3one rupee stamps = 32 two stamps = 65 rupee stamps = 1Total number of stamps = 10.

Q: If the selling price of a mat is five times the discount offered and if the percentage of discount is equal to the percentage profit, find the ratio of the discount offered to the cost price. 4009 0

  • 1
    6:31
    Correct
    Wrong
  • 2
    11:30
    Correct
    Wrong
  • 3
    7:30
    Correct
    Wrong
  • 4
    31:6
    Correct
    Wrong
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Answer : 3. "7:30"
Explanation :

Answer: C) 7:30 Explanation: Since S.P. = 5 (M.P. - S.P.) => 5 M.P. = 6 S.P.M.P. = (6/5) S.P.Since the percentage discount = Percentage profit,65S.P - S.P65S.P×100 = S.P -C.PC.P×100Therefore, 1/6 = (S.P/C.P) – 1 => S.P = (7/6) C.PM.P = 6/5 S.P = 6/5 x 7/6 C.P = 7/5 C.PTherefore, Ratio of discount to C.P= (M.P – S.P)/C.P = [{(7/5)C.P - (7/6)C.P} / C.P.]= 7/30   Therefore, the ratio is 7 : 30

Q: Find the missing number in the given series ? 15, 51, 216, 1100, ?, 46452 4008 0

  • 1
    5660
    Correct
    Wrong
  • 2
    6560
    Correct
    Wrong
  • 3
    6750
    Correct
    Wrong
  • 4
    6630
    Correct
    Wrong
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Answer : 4. "6630"
Explanation :

Answer: D) 6630 Explanation: Let first no. be "k" and multiple be "l"...start value of y with 3then,[(k x y) + {l x (l-1)}]Thus, we get 15 x 3 + 3 x 2 = 5151 x 4 + 4 x 3 = 216216 x 5 + 5 x 4 = 11001100 x 6 + 6 x 5 = 66306630 x 7 + 7 x 6 = 46452 Therefore, the missing number is 6630.

Q: Thread is to String as Cask is to 4008 0

  • 1
    Barrel
    Correct
    Wrong
  • 2
    Disc
    Correct
    Wrong
  • 3
    Wallet
    Correct
    Wrong
  • 4
    Box
    Correct
    Wrong
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Answer : 1. "Barrel"
Explanation :

Answer: A) Barrel Explanation: Here Thread and String are Synonyms of each other. Then the answer will be the synonym of Cask.  Cask is nothing but a large barrel-like container used for storing liquids, typically alcoholic drinks.  Ex : Drum, Vessel, Tank, Barrel, Hogshead, Firkin,...   Here from the options Barrel is the only synonym of Cask.   Thus,  Thread : String :: Cask : Barrel

Q: Find the missing number in the given number series? 2676, 445, ?, 21,6, 2, 1 4003 0

  • 1
    88
    Correct
    Wrong
  • 2
    92
    Correct
    Wrong
  • 3
    96
    Correct
    Wrong
  • 4
    102
    Correct
    Wrong
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Answer : 1. "88"
Explanation :

Answer: A) 88 Explanation: The given number series 2676, 445, ?, 21,6, 2, 1 follows a pattern that, From right side, 1 1 x 1 + 1 = 2 2 x 2 + 2 = 6 6 x 3 + 3 = 21 21 x 4 + 4 = 88 88 x 5 + 5 = 445 445 x 6 + 6 = 2676   Hence the missing number in the given number series is 88.

Q: 96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. Find the smallest part ? 3994 0

  • 1
    42
    Correct
    Wrong
  • 2
    54
    Correct
    Wrong
  • 3
    46
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 1. "42"
Explanation :

Answer: A) 42 Explanation: Let x and y be the two parts of 96. x/7 = y/9 => x:y = 7:9 => The smallest part is = 7/16 x 96 = 42.

Q: One reason the skeletal system is important is because 3992 0

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    the skeletal system creates the connective tissue and tendons that allow the body to move
    Correct
    Wrong
  • 2
    the skeletal system is responsible for controlling functions of the entire body
    Correct
    Wrong
  • 3
    without the skeletal system, an individual would not have enough calcium to live
    Correct
    Wrong
  • 4
    the skeletal system is solely responsible for housing the body's immune system
    Correct
    Wrong
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Answer : 1. "the skeletal system creates the connective tissue and tendons that allow the body to move"
Explanation :

Answer: A) the skeletal system creates the connective tissue and tendons that allow the body to move Explanation: One reason the skeletal system is important is because the skeletal system creates the connective tissue and tendons that allow the body to move.

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Answer : 4. "1250"
Explanation :

Answer: D) 1250 Explanation: Let initially 'X' ticket has been sold.So now in 2nd week 20% increases, so=> X x 120/100In 3rd week 16% increases, so=> X x (120/100) x (116/100)In 4th week 20% decrease, so=> X x (120/100) x (116/100) x (80/100) = 1392X = 1250.

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