CAT Practice Question and Answer

Q: Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ? 1315 0

  • 1
    25 : 114
    Correct
    Wrong
  • 2
    35 : 103
    Correct
    Wrong
  • 3
    15 : 108
    Correct
    Wrong
  • 4
    41 : 94
    Correct
    Wrong
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Answer : 2. "35 : 103"
Explanation :

Answer: B) 35 : 103 Explanation: Santhosh's investment = 6000 x 70/100 = Rs.4200Rajitha's investment = 4200 x 5/4 = Rs.5250Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.Required ratio = 5250 : 15450 = 35 : 103.

Q: 'BE' is related to 'GJ' in the same way as 'PS' is related to ? 1775 0

  • 1
    VX
    Correct
    Wrong
  • 2
    TU
    Correct
    Wrong
  • 3
    UX
    Correct
    Wrong
  • 4
    TV
    Correct
    Wrong
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Answer : 3. "UX"
Explanation :

Answer: C) UX Explanation: Each corresponding letter moves five places forward in the alphabet.Here as BE is related to GJ then PS will relate to UX.

Q: Find the wrong number from the following series ?7   18   40   106   183   282   403 4832 0

  • 1
    18
    Correct
    Wrong
  • 2
    183
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    106
    Correct
    Wrong
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Answer : 3. "40"
Explanation :

Answer: C) 40 Explanation: The given series follows the rule,+(11x1), +(11x3), +(11x5), +(11x7), +(11x9),.... So starting from 7, 7 + 11 = 18, 18 + 33 = 51, 51 + 55 = 106, ...So wrong number is 40 which is to be 51.

Q: The perimeter of a square is equal to twice the perimeter of a rectangle of length 8cm and breadth 7cm. What is the circumference of a semicircle whose diameter is equal to the side of the square ? 1257 0

  • 1
    55.12 cm
    Correct
    Wrong
  • 2
    22.54 cm
    Correct
    Wrong
  • 3
    42.51 cm
    Correct
    Wrong
  • 4
    38.57 cm
    Correct
    Wrong
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Answer : 4. "38.57 cm"
Explanation :

Answer: D) 38.57 cm Explanation: We know that perimeter of rectangle = 2(l+b) = 2(8+7)= 30cmGiven perimeter of square is twice the perimeter of rectangle = 2(30) = 60cmTherefore, side of the square is = 1/4 x 60 = 15cmCircumference of the required semicircle = πr + 2r = 227× 152 + 2×152 = 23.57 + 15 = 38.57cm.

Q: Find the wrong number from the following series ?37   47    52    67    87    112    142 5681 0

  • 1
    87
    Correct
    Wrong
  • 2
    47
    Correct
    Wrong
  • 3
    52
    Correct
    Wrong
  • 4
    67
    Correct
    Wrong
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Answer : 2. "47"
Explanation :

Answer: B) 47 Explanation: The given series follows the rule,+(5x1), +(5x2), +(5x3), +(5x4), +(5x5),.... So starting from 37, 37 + 5 = 42, 42 + 10 = 52, 52 + 15 = 67, 67 + 20 = 87,...So wrong number is 47 which is to be 42.

Q: The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ? 1542 0

  • 1
    84 km/hr
    Correct
    Wrong
  • 2
    96 km/hr
    Correct
    Wrong
  • 3
    72 km/hr
    Correct
    Wrong
  • 4
    60 km/hr
    Correct
    Wrong
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Answer : 1. "84 km/hr"
Explanation :

Answer: A) 84 km/hr Explanation: Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.Also, 6x = 72 => x = 12 km/hrTherefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.

Q: Rajitha's present age is three years less than twice her age 12 years ago. Also, the ratio of Raj's present age to Rajitha's present age is 4:9. What will be Raj's age after 5 years ? 1712 0

  • 1
    17 yrs
    Correct
    Wrong
  • 2
    16 yrs
    Correct
    Wrong
  • 3
    19 yrs
    Correct
    Wrong
  • 4
    21 yrs
    Correct
    Wrong
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Answer : 1. "17 yrs"
Explanation :

Answer: A) 17 yrs Explanation: Let the present age of Raj and Rajitha be 4x and 9x.Then, according to question,9x = 2(9x-12)-3 => 9x = 27 => x = 3Raj's present age = 4x = 12yrs, After 5 years Raj's age will be 12 + 5 = 17 yrs.

Q: Find the number of factors of 9321 ? 3127 0

  • 1
    4
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    8
    Correct
    Wrong
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Answer : 4. "8"
Explanation :

Answer: D) 8 Explanation: 9321 = 3 x 13 x 239 = 31 x 13 1 x 239 1 ; add one to all the powers ie., (1+1) x (1+1) x (1+1)= 8 ; we get eight factors.

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