CAT Practice Question and Answer

Q: A girl facing north rotates 100(degree) clockwise then 190(degree) anticlockwise. what is new direction of the girl ? 5029 0

  • 1
    North-East
    Correct
    Wrong
  • 2
    West
    Correct
    Wrong
  • 3
    South-East
    Correct
    Wrong
  • 4
    South
    Correct
    Wrong
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Answer : 2. "West"
Explanation :

Answer: B) West Explanation: First girl facing NorthThen she rotates 100 deg clock wise => 10 deg ESThen again she rotates 190 deg anti clock wise => for 100 deg it is North and more 90 deg means West.Therefore, the new direction of the girl is West.

Q: One paper is equally folded 35 times, then what is the new thickness of the paper ? 2111 0

  • 1
    T(2^50)
    Correct
    Wrong
  • 2
    50T
    Correct
    Wrong
  • 3
    2 x 50 T
    Correct
    Wrong
  • 4
    T/50
    Correct
    Wrong
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Answer : 1. "T(2^50)"
Explanation :

Answer: A) T(2^50) Explanation: Let initial thickness of the paper be 'T'after first fold it will be '2T' = 21Tafter second fold it will be '4T' = 22T after 50th fold it will be T x (250T)

Q: If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ? 1270 0

  • 1
    51/1221
    Correct
    Wrong
  • 2
    42/221
    Correct
    Wrong
  • 3
    1/221
    Correct
    Wrong
  • 4
    52/1245
    Correct
    Wrong
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Answer : 3. "1/221"
Explanation :

Answer: C) 1/221 Explanation: Total Combination of getting a card from 52 cards = C152 Because there is no replacement, so number of cards after getting first card= 51 Now, Combination of getting an another card= C151 Total combination of getting 2 cards from 52 cards without replacement= (C152×C151)  There are total 4 Ace in stack. Combination of getting 1 Ace is = C14   Because there is no replacement, So number of cards after getting first Ace = 3 Combination of getting an another Ace = C13 Total Combination of getting 2 Ace without replacement=C14×C13 Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.

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Answer : 3. "16/25"
Explanation :

Answer: C) 16/25 Explanation: If there are total 100 candidates, 40 candidates are really capable and 60 candidates are incapable.Of the candidates who are really capable = 80% 40*(80/100)=32 pass the test andof the incapable= 30%60*(30/100)=18 pass the test.Total candidates who passed the test = 32+18 = 50The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

Q: What is the next letter in the given seriesM N J Q G ? 1030 0

  • 1
    U
    Correct
    Wrong
  • 2
    S
    Correct
    Wrong
  • 3
    T
    Correct
    Wrong
  • 4
    H
    Correct
    Wrong
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Answer : 3. "T"
Explanation :

Answer: C) T Explanation: 1ST SERIES = M J G... It decreasing by 3 alphabets.2ND SERIES = N Q... It increasing by 3 alphabets. M N J Q G T...

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Answer : 2. "10"
Explanation :

Answer: B) 10 Explanation: Raj Tarun's age = 0 when he was born.Then, given his brother is 6 years old.Then his father is 6 + 32 = 38 when Raj Tarun was bornAnd his mother is 3 years yonger than his father => so his mother was 35 years old when Raj Tarun was bornand his sister is 25 year younger than his mother so Raj Tarun's sister was 10 years old when Raj Tarun was born.

Q: A seller uses 840 gm in place of 1 kg to sell his goods. Find his actual profit/loss % When he sells his article on 4% loss on cost price ? 1526 1

  • 1
    14.28 % profit
    Correct
    Wrong
  • 2
    24.18 % profit
    Correct
    Wrong
  • 3
    14.28 % loss
    Correct
    Wrong
  • 4
    24.18 % loss
    Correct
    Wrong
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Answer : 1. "14.28 % profit"
Explanation :

Answer: A) 14.28 % profit Explanation: Let 1kg of Rs. 100 then 840gm is of Rs. 84.Now (label on can 1kg but contains 840kg ) so for customer it is of Rs. 100 and further gives 4% discount [he sells his article on 4% loss on cost price.] So now S.P = Rs. 96But actually it contains 840 gm so C.P for shopkeeper = Rs. 84S.P = Rs. 96C.P = Rs. 84Profit% = {(S.P-C.P)/C.P}x100{(96-84)/84} x 100 = 14.28571429% PROFIT.

Q: A man reaches his office 20 min late, if he walks from his home at 3 km per hour and reaches 30 min early if he walks 4 km per hour. How far is his office from his house ? 4955 0

  • 1
    20 km
    Correct
    Wrong
  • 2
    16 km
    Correct
    Wrong
  • 3
    14 km
    Correct
    Wrong
  • 4
    10 km
    Correct
    Wrong
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Answer : 4. "10 km"
Explanation :

Answer: D) 10 km Explanation: Let distance = x km.Time taken at 3 kmph : dist/speed = x/3 = 20 min late.time taken at 4 kmph : x/4 = 30 min earlierdifference between time taken : 30-(-20) = 50 mins = 50/60 hours.x/3- x/4 = 50/60x/12 = 5/6x = 10 km.

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