CAT Practice Question and Answer

Q: Which of the following is / are fund managers for National Pension System (NPS) in 2017 ? 1325 0

  • 1
    Axis provident fund
    Correct
    Wrong
  • 2
    Yes bank pension fund
    Correct
    Wrong
  • 3
    ICICI prudential pension
    Correct
    Wrong
  • 4
    Punjab National provident fund
    Correct
    Wrong
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Answer : 3. "ICICI prudential pension"
Explanation :

Answer: C) ICICI prudential pension Explanation: At present in 2017, there are only seven NPS fund managers viz. HDFC Pension Fund, ICICI Prudential Pension, Kotak Pension Fund, LIC Pension Fund,  Reliance Capital Pension, SBI Pension Fund and UTI Retirement Solutions.

Q: If a2+b2 = c2 , then 1logc+ab + 1logc-ab = ? 2334 1

  • 1
    1
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 2. "2"
Explanation :

Answer: B) 2 Explanation: Given a2 + b2 = c2   Now  1logc+ab  + 1logc-ab    = logbc+a + logbc-a   = logbc2-a2 = 2logbb = 2

Q: Shares of a company given in exchange for work done are called ? 808 0

  • 1
    Secondary shares
    Correct
    Wrong
  • 2
    Hot equity
    Correct
    Wrong
  • 3
    Preferential shares
    Correct
    Wrong
  • 4
    Sweat equity shares
    Correct
    Wrong
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Answer : 4. "Sweat equity shares"
Explanation :

Answer: D) Sweat equity shares Explanation: A sweat equity share is an equity share issued by the company to employees or directors at a discount or for consideration other than cash for providing know-how or making available rights in the nature of intellectual property rights or value additions.

Q: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x+y is equal to  ? 967 0

  • 1
    5
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 4. "2"
Explanation :

Answer: D) 2 Explanation: Since 653xy is divisible by 5 as well as 2, so y = 0.Now, 653x0 must be divisible by 8.So, 3x0 must be divisible by 8. This happens when x = 2x + y = (2 + 0) = 2.

Q: If log72 = m, then log4928 is equal to ? 1972 0

  • 1
    1/(1+2m)
    Correct
    Wrong
  • 2
    (1+2m)/2
    Correct
    Wrong
  • 3
    2m/(2m+1)
    Correct
    Wrong
  • 4
    (2m+1)/2m
    Correct
    Wrong
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Answer : 2. "(1+2m)/2"
Explanation :

Answer: B) (1+2m)/2 Explanation: log4928 = 12log77×4   = 12+122log72= 12+log72= 12 + m= 1+2m2.

Q: Which one of the following foreign agencies will assist the municipal agencies to improve quality of municipal schools through its School Excellence Programmes(SEP) ? 1075 0

  • 1
    IMF
    Correct
    Wrong
  • 2
    UNDP
    Correct
    Wrong
  • 3
    ADB
    Correct
    Wrong
  • 4
    UNICEF
    Correct
    Wrong
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Answer : 3. "ADB"
Explanation :

Answer: C) ADB Explanation: Asian Development Bank (ADB) announced that it will assist the municipal agencies to improve quality of municipal schools through its School Excellence Programme (SEP).

Q: If x is a whole number, then x²(x² - 1) is always divisible by ? 1664 0

  • 1
    4
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "12"
Explanation :

Answer: C) 12 Explanation: we can do this by trial and error method. Putting x = 2,we get 2²(2² - 1) = 12.checking with other integers, the above equation always gives a value which is a multiple of 12,So, x²(x² - 1) is always divisible by 12.

Q: If y/(x - z) = (y + x)/z = x/y then find z : y : x ? 1433 0

  • 1
    1:2:3
    Correct
    Wrong
  • 2
    3:2:4
    Correct
    Wrong
  • 3
    4:3:2
    Correct
    Wrong
  • 4
    2:3:4
    Correct
    Wrong
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Answer : 2. "3:2:4"
Explanation :

Answer: B) 3:2:4 Explanation: Given, y/(x - z) = (y + x)/z = x/yyz = xy + x2 - yz - xz ....(1)Also xy = yx-z ⇒x2 -xz = y2 ....(2)Using (1) and (2), we get yz = xy - yz + y22yz = xy + y22z = x + y Only option (B) satisfies the equation.

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