CAT Practice Question and Answer

Q: A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is ? 2015 0

  • 1
    14.69 cm
    Correct
    Wrong
  • 2
    29.39 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    22.21 cm
    Correct
    Wrong
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Answer : 2. "29.39 cm"
Explanation :

Answer: B) 29.39 cm Explanation: Volume of water flowing through 1 pipe of diameter x = Volume discharged by 6 pipes of diameter 12 cms.   As speed is same, area of cross sections should be same.    Area of bigger pipe of diameter x = Total area of 6 smaller pipes of diameter 12  i.e πR2 = 6πR12    Here R = R and R1 = 12/2 = 6    ⇒R2 = 6×6×6    R = 14.696    => D = X = 14.696 * 2 = 29.3938 cm.

Q: In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there ? 2015 0

  • 1
    205
    Correct
    Wrong
  • 2
    194
    Correct
    Wrong
  • 3
    209
    Correct
    Wrong
  • 4
    159
    Correct
    Wrong
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Answer : 3. "209"
Explanation :

Answer: C) 209 Explanation: We may have (1 boy and 3 girls)or(2boys and 2 girls)or(3 boys and 1 girl)or(4 boys). Required number of ways = (C16× C34) + C26×C24  + (C36× C14) + (C46)   = (24+90+80+15)  = 209.

Q: What is the distance around a shape called? 2014 0

  • 1
    Volume
    Correct
    Wrong
  • 2
    Area
    Correct
    Wrong
  • 3
    Mass
    Correct
    Wrong
  • 4
    Perimeter
    Correct
    Wrong
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Answer : 4. "Perimeter"
Explanation :

Answer: D) Perimeter Explanation: The distance around a shape or figure I called Perimeter. A perimeter is a path that surrounds a two-dimensional shape.

Q: Which of the following statements is correct? 2013 0

  • 1
    I am very happy to start this Program
    Correct
    Wrong
  • 2
    I am too happy to start this Program
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 1. "I am very happy to start this Program"
Explanation :

Answer: A) I am very happy to start this Program Explanation: Here I am very happy to start this Program is correct statement. "Too" is not used with pleasant adjectives. It means 'more than required' and is usually used with unpleasant adjectives. So, 'too healthy', 'too happy', 'too glad' etc are wrong.

Q: P, Q, and R can do a job in 12 days together.  If their efficiency of working be in the ratio 3 : 8 : 5, Find in what time Q can complete the same work alone? 2012 0

  • 1
    36 days
    Correct
    Wrong
  • 2
    30 days
    Correct
    Wrong
  • 3
    24 days
    Correct
    Wrong
  • 4
    22 days
    Correct
    Wrong
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Answer : 1. "36 days"
Explanation :

Answer: A) 36 days Explanation: Given the ratio of efficiencies of P, Q & R are 3 : 8 : 5 Let the efficiencies of P, Q & R be 3x, 8x and 5x respectively They can do work for 12 days. => Total work = 12 x 16x = 192x   Now, the required time taken by Q to complete the job alone = 162x8x = 24 days.

Q: Who is known as the Father of Geometry? 2011 0

  • 1
    Aryabhata
    Correct
    Wrong
  • 2
    Thales of Miletus
    Correct
    Wrong
  • 3
    Pythagoras of Samos
    Correct
    Wrong
  • 4
    Euclid
    Correct
    Wrong
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Answer : 4. "Euclid"
Explanation :

Answer: D) Euclid Explanation: Euclid of Alexandria was a Greek mathematician, often referred to as the Father of Geometry.

Q: Crack the series missing Number Puzzle ? 2010 0

  • 1
    330
    Correct
    Wrong
  • 2
    253
    Correct
    Wrong
  • 3
    221
    Correct
    Wrong
  • 4
    363
    Correct
    Wrong
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Answer : 4. "363"
Explanation :

Answer: D) 363 Explanation: The given numbers in the series follows a pattern that, 3 (3 x 3) + 3 = 12 (12 x 3) + 3 = 39 (39 x 3) + 3 = 120 (120 x 3) + 3 = 363.

Q: Eric is the son of Tom who is the brother of Jerry who is the daughter of Sin. Doremon is the sister of Popoy who is son of Chain. Ivanka is the daughter of Popoy who is the husband of Jerry. Sin is the male person and Chain is the female person. How is Ivanka related to Eric ? 2009 0

  • 1
    Cousin sister
    Correct
    Wrong
  • 2
    Nephew
    Correct
    Wrong
  • 3
    Niece
    Correct
    Wrong
  • 4
    Daughter
    Correct
    Wrong
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Answer : 1. "Cousin sister"
Explanation :

Answer: A) Cousin sister Explanation: Since Eric's father and Ivanka's mother are Brother and sister,  => Ivanka is Eric's Aunt Daughter => Cousin Sister.

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