CAT Practice Question and Answer

Q: The total simple interest earned on a sum of money increases by Rs. 600 when the rate of interest increases by 2% per annum. If the investment was made for 5 years, find the sum of money that was invested ? 1734 0

  • 1
    Rs. 6000
    Correct
    Wrong
  • 2
    Rs. 5550
    Correct
    Wrong
  • 3
    Rs. 7500
    Correct
    Wrong
  • 4
    Rs. 6580
    Correct
    Wrong
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Answer : 1. "Rs. 6000"
Explanation :

Answer: A) Rs. 6000 Explanation: Let the sum invested be Rs. P Let the rate of interest be R% per annum => Interest earned for 5 years = (P x 5 x R/100) = PR/20 Now, given that the interest earned increased by Rs. 600 if the Rate increased to (R+2)% => SI = (P x 5 x (R+2))/100 = PR/20 + 10P/100 Hence, PR/20 + 10P/100 = PR/20 + 600 => P = 6000 Therefore, the sum invested is Rs. 6000

Q: Math Logic Challenge 1732 0

  • 1
    23
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    13
    Correct
    Wrong
  • 4
    29
    Correct
    Wrong
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Answer : 2. "26"
Explanation :

Answer: B) 26 Explanation: Let the integer be x. Then,  x2-20x = 156   (x + 6)(x - 26) = 0   x = 26   The integer is 26.

Q: Cobalt 60 is used for cancer treatment it emmits which rays? 1732 0

  • 1
    Alpha
    Correct
    Wrong
  • 2
    Beta
    Correct
    Wrong
  • 3
    Gamma
    Correct
    Wrong
  • 4
    X rays
    Correct
    Wrong
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Answer : 3. "Gamma"
Explanation :

Answer: C) Gamma Explanation: Cobalt therapy or cobalt-60 therapy is the medical use of gamma rays from the radioisotope cobalt-60 to treat conditions such as cancer.   Cobalt 60 is a synthetic radioactive isotope of cobalt with a half-life of 5.2714 years. It is produced artificially in nuclear reactors.

Q: A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120m behind in 18 seconds. The speed of the second train is 1732 0

  • 1
    42 kmph
    Correct
    Wrong
  • 2
    72 kmph
    Correct
    Wrong
  • 3
    36 kmph
    Correct
    Wrong
  • 4
    44 kmph
    Correct
    Wrong
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Answer : 3. "36 kmph"
Explanation :

Answer: C) 36 kmph Explanation: Given speed of the first train = 60 km/hr = 60 x 5/18 = 50/3 m/s Let the speed of the second train = x m/s Then, the difference in the speed is given by 503 - x = 12018 => x = 10 m/s => 10 x 18/5 = 36 km/hr

Q: The sum of one-half, one-third and one-fourth of a number exceeds the number by 22. The number is 1732 0

  • 1
    264
    Correct
    Wrong
  • 2
    284
    Correct
    Wrong
  • 3
    215
    Correct
    Wrong
  • 4
    302
    Correct
    Wrong
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Answer : 1. "264"
Explanation :

Answer: A) 264 Explanation: Let the number be 'x'. Then, from given data x/2 + x/3 + x/4 = x+2213x/12 = x+22x = 264

Q: A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ? 1731 0

  • 1
    244 km
    Correct
    Wrong
  • 2
    144 km
    Correct
    Wrong
  • 3
    444 km
    Correct
    Wrong
  • 4
    344 km
    Correct
    Wrong
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Answer : 2. "144 km"
Explanation :

Answer: B) 144 km Explanation: Given a jeep travels a certain distance taking 6 hrs in forward journeyDuring the return journey, it takes 4 hrs with an increased speed 12 km/hrLet 'x' be the distance.Now, speed is given by distance/time.Here the difference between both speeds = 12  x4 - x6 = 12  3x - 2x12 = 12   => x = 144 km   Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.

Q: A sum is equally invested in two different schemes on CI at the rate of 15% and 20% for two years. If interest gained from the sum invested at 20% is Rs. 528.75 more than the sum invested at 15%, find the total sum? 1731 0

  • 1
    Rs. 7000
    Correct
    Wrong
  • 2
    Rs. 4500
    Correct
    Wrong
  • 3
    Rs. 9000
    Correct
    Wrong
  • 4
    Rs. 8200
    Correct
    Wrong
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Answer : 3. "Rs. 9000"
Explanation :

Answer: C) Rs. 9000 Explanation: Let Rs. K invested in each scheme Two years C.I on 20% = 20 + 20 + 20x20/100 = 44% Two years C.I on 15% = 15 + 15 + 15x15/100 = 32.25% Now, (P x 44/100) - (P x 32.25/100) = 528.75 => 11.75 P = 52875 => P = Rs. 4500   Hence, total invested money = P + P = 4500 + 4500 = Rs. 9000.

Q: What is 7 C in a R represents? 1731 0

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Answer :
Explanation :

7 C in a R represents 7 Colours in a Rainbow.

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