CAT Practice Question and Answer

Q: How many prime numbers exist in 65×359×113 ? 3028 0

  • 1
    29
    Correct
    Wrong
  • 2
    31
    Correct
    Wrong
  • 3
    33
    Correct
    Wrong
  • 4
    27
    Correct
    Wrong
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Answer : 2. "31"
Explanation :

Answer: B) 31 Explanation: Given  65×359×113 ⇒2×35×5×79×113  ⇒25×35×59×79×113 Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

Q: Which of these investments may pay dividends? 3027 0

  • 1
    Savings account
    Correct
    Wrong
  • 2
    Stocks
    Correct
    Wrong
  • 3
    Bonds
    Correct
    Wrong
  • 4
    Certificates of deposit
    Correct
    Wrong
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Answer : 2. "Stocks"
Explanation :

Answer: B) Stocks Explanation: Stock investment may pay the dividends. The amount of dividend will be depended on how many stocks you own and how much is that's company net income in that year For example : If you own 15 % of the company, and the company announced that they will pay Rs. 1,00,000 as dividend this year, you will get dividend payment of Rs. 15,000.

Q: Entomology is the science that studies 3021 0

  • 1
    Insects
    Correct
    Wrong
  • 2
    Behaviour of Human beigns
    Correct
    Wrong
  • 3
    Scientific Names
    Correct
    Wrong
  • 4
    Formation of Rocks
    Correct
    Wrong
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Answer : 1. "Insects"
Explanation :

Answer: A) Insects Explanation: Entomology is the science branch of Zoology that studies Insects.

Q: If (1 × 2 × 3 × 4 ........ × n) = n!, then 15! - 14! - 13! is equal to ___? 3019 0

  • 1
    14 × 13 × 13!
    Correct
    Wrong
  • 2
    15 × 14 × 14!
    Correct
    Wrong
  • 3
    14 × 12 × 12!
    Correct
    Wrong
  • 4
    15 × 13 × 13!
    Correct
    Wrong
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Answer : 4. "15 × 13 × 13!"
Explanation :

Answer: D) 15 × 13 × 13! Explanation: 15! - 14! - 13! = (15 × 14 × 13!) - (14 × 13!) - (13!) = 13! (15 × 14 - 14 - 1) = 13! (15 × 14 - 15) = 13! x 15 (14 - 1) = 15 × 13 × 13!

Q: There are 44 students in a hostel, due to the administration,  15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? 3018 0

  • 1
    Rs. 404
    Correct
    Wrong
  • 2
    Rs. 514
    Correct
    Wrong
  • 3
    Rs. 340
    Correct
    Wrong
  • 4
    Rs. 616
    Correct
    Wrong
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Answer : 4. "Rs. 616"
Explanation :

Answer: D) Rs. 616 Explanation: Let the average expenditure per head be Rs. pNow, the expenditure of the mess for old students is Rs. 44pAfter joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33Therefore, 59(p-3) = 44p + 3359p - 177 = 44p + 3315p = 210 => p = 14Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.

Q: What about Earth allows it to maintain bodies of water? 3017 0

  • 1
    mountains
    Correct
    Wrong
  • 2
    tides
    Correct
    Wrong
  • 3
    moderate tempatures
    Correct
    Wrong
  • 4
    comet crashes
    Correct
    Wrong
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Answer : 3. "moderate tempatures"
Explanation :

Answer: C) moderate tempatures Explanation: The moderate temperatures allow Earth to maintain bodies of water into its normal state. Changes in the bodies of water in terms of volume and structure would change due to the change in temperature.

Q: A supplier supplies cartridges to a news paper publishing house. He earns a profit of 25% by selling cartridges for Rs. 1540. Find the cost price of the Cartridges ? 3017 0

  • 1
    Rs. 1100
    Correct
    Wrong
  • 2
    Rs. 1793.4
    Correct
    Wrong
  • 3
    Rs. 1440
    Correct
    Wrong
  • 4
    Rs. 1232
    Correct
    Wrong
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Answer : 4. "Rs. 1232"
Explanation :

Answer: D) Rs. 1232 Explanation: Let Cost Price(C.P) = Pgain% = {(S.P-C.P)/C.P} x 10025 = {(1540-P)/P} x 10025/100 = (1540-P)/P=> P = 4(1540)-4P=> 5P = 4(1540)=> P = 1232So, Cost Price = Rs. 1232

Q: A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay : 3015 0

  • 1
    Rs. 100
    Correct
    Wrong
  • 2
    Rs. 105
    Correct
    Wrong
  • 3
    Rs. 115
    Correct
    Wrong
  • 4
    Rs. 110
    Correct
    Wrong
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Answer : 3. "Rs. 115"
Explanation :

Answer: C) Rs. 115 Explanation: Amount to be paid = Rs.100+200×5×1100+100×5×1100= Rs. 115.

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