CAT Practice Question and Answer

Q: Find out the wrong term in the given series of numbers ?6, 15, 35, 77, 165, 221 2466 0

  • 1
    35
    Correct
    Wrong
  • 2
    165
    Correct
    Wrong
  • 3
    221
    Correct
    Wrong
  • 4
    77
    Correct
    Wrong
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Answer : 2. "165"
Explanation :

Answer: B) 165 Explanation: The given series follow the rule that : Multiplying consecutive prime numbers2,3,5,7,11,13,17,19....2x3 = 63x5 = 155x7 = 357x11 = 7711x13 = 14313x17 = 221So, the wrong term is 165.

Q: A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ? 2465 0

  • 1
    11/91
    Correct
    Wrong
  • 2
    4/11
    Correct
    Wrong
  • 3
    1/11
    Correct
    Wrong
  • 4
    90/91
    Correct
    Wrong
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Answer : 4. "90/91"
Explanation :

Answer: D) Option D Explanation: Let S be the sample space. Then,n(s) = number of ways of drawing 4 pearls out of 14 = C414 ways = 14×13×12×114×3×2×1= 1001 Let E be the event of drawing 4 pearls of the same colour.Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)   ⇒C15+ C44+ C15 = 5+1+5 =11  P(E) = n(E)n(S)=111001=191      Required probability = 1-191=9091

Q: A secret can be told to only 3 persons in 3 minutes. Each person in turn tells 3 other persons in the next 3 minutes and the processes continues accordingly. In 30 minutes how many persons can be told this secret in this way ? 2464 0

  • 1
    88572
    Correct
    Wrong
  • 2
    77854
    Correct
    Wrong
  • 3
    99584
    Correct
    Wrong
  • 4
    55654
    Correct
    Wrong
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Answer : 1. "88572"
Explanation :

Answer: A) 88572 Explanation: Given a secret is told to 3 persons in 3 minutes.And if the process continues with each person saying 3 other persons,In 30 minutes => the rocess for 10 times because each person time is 3 minutes.Required number of persons = 3 + 32 + 33 + .... + 39 + 310   Now it forms a geometric progression,   Sum to n terms is S = arn - 1r - 1   Here a = 3, r = 3  => 59048 x 3 /2   = 88572.

Q: Velocitation is the tendency to 2464 0

  • 1
    be traveling at a speed that is faster than perceived
    Correct
    Wrong
  • 2
    be traveling at a speed that is slower than perceived
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "be traveling at a speed that is faster than perceived"
Explanation :

Answer: A) be traveling at a speed that is faster than perceived Explanation: Velocitation is a phenomenon caused by driving for long periods at high speeds. A driver may experience velocitation when coming off of the highway; the change in speed makes him or her think that the car is going much slower than it actually is.   Velocitation is the tendency to be traveling at a speed that is faster than perceived.

Q: 5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers? 2464 0

  • 1
    102 & 6
    Correct
    Wrong
  • 2
    99 & 3
    Correct
    Wrong
  • 3
    104 & 8
    Correct
    Wrong
  • 4
    100 & 4
    Correct
    Wrong
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Answer : 4. "100 & 4"
Explanation :

Answer: D) 100 & 4 Explanation: Let the first number be x and the second number be y. Given 5% of x = (25% of y) + y => 5x/100 = 5y/4 => x = 25y ......(1) and also given that, x - y = 96 => x = 96 + y .....(2) From (1)&(2) 25y = 96 + y => 24y = 96 => y = 4 From (1) x = 96 + 4 = 100 Hence, the numbers are 100 & 4.

Q: Which fraction comes next in the sequence 23, 13, 527, 781, ? 2463 0

  • 1
    1/27
    Correct
    Wrong
  • 2
    11/278
    Correct
    Wrong
  • 3
    9/48
    Correct
    Wrong
  • 4
    7/123
    Correct
    Wrong
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Answer : 1. "1/27"
Explanation :

Answer: A) 1/27 Explanation: Clearly, the numerators of the fractions in the given sequence follow the series of 2, 3, 5, 7,... and the denominator follows 3, 9, 27, 81, 243, ...Then, the next term in the given sequence is  935 = 9243 = 127 .

Q: The modulus of elasticity for mild steel is approximately equal to 2461 0

  • 1
    210 kN/mm2
    Correct
    Wrong
  • 2
    100 kN/mm2
    Correct
    Wrong
  • 3
    80 kN/mm2
    Correct
    Wrong
  • 4
    10 kN/mm2
    Correct
    Wrong
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Answer : 1. "210 kN/mm2"
Explanation :

Answer: A) 210 kN/mm2 Explanation: It is useful to have a property of a material that is independent of the size of the sample and can be use to compare its elastic properties with another - this is called the Modulus of Elasticity for the material. The modulus of elasticity is defined as:   Modulus of elasticity = Stress / Strain   There are three types of moduli. They are : (a) the Young Modulus - tensile and compression longitudinal stress (b) the shear modulus - a shearing stress (c) the bulk modulus - volume changes of the specimen.

Q: When Ionic bonds are formed metallic atoms tend to 2461 0

  • 1
    share electrons
    Correct
    Wrong
  • 2
    gain electrons
    Correct
    Wrong
  • 3
    lose electrons
    Correct
    Wrong
  • 4
    None of above
    Correct
    Wrong
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Answer : 3. "lose electrons"
Explanation :

Answer: C) lose electrons Explanation: Ionic bonding is the complete transfer of valence electron(s) between atoms. It is a type of chemical bond that generates two oppositely charged ions. In ionic bonds, the metal loses electrons to become a positively charged cation, whereas the nonmetal accepts those electrons to become a negatively charged anion.   Hence, when Ionic bonds are formed metallic atoms tend to lose electrons and become positive ions

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