CAT Practice Question and Answer

Q: A,B and C enter into a partnership in the ratio  72:43:65. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs. 21600, then B's share in the profit is : 2032 0

  • 1
    Rs. 4000
    Correct
    Wrong
  • 2
    Rs. 6000
    Correct
    Wrong
  • 3
    Rs. 9000
    Correct
    Wrong
  • 4
    Rs. 3000
    Correct
    Wrong
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Answer : 1. "Rs. 4000"
Explanation :

Answer: A) Rs. 4000 Explanation: Given ratio of initial investments = 72:43:65 = 105 : 40 : 36.  Let the initial investments be 105x, 40x and 36x.   ∴A:B:C = 105x×4 + 150100×105x×8 : 40x×12 : 36x×12                  = 1680x : 480x : 432x = 35 : 10 : 9.   Hence, B's share = 21600×1054 = Rs. 4000.

Q: A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is : 1726 0

  • 1
    9.5 km/hr
    Correct
    Wrong
  • 2
    10 km/hr
    Correct
    Wrong
  • 3
    10.5 km/hr
    Correct
    Wrong
  • 4
    11 km/hr
    Correct
    Wrong
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Answer : 2. "10 km/hr"
Explanation :

Answer: B) 10 km/hr Explanation: Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr. Therefore,  Man's rate against the current = (12.5 - 2.5) = 10 km/hr.

Q: 3131×31-27 =? 1606 0

  • 1
    961 x 861
    Correct
    Wrong
  • 2
    961 x 961
    Correct
    Wrong
  • 3
    961 x 2
    Correct
    Wrong
  • 4
    29791
    Correct
    Wrong
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Answer : 2. "961 x 961"
Explanation :

Answer: B) 961 x 961 Explanation: We know that am×an=am+n  ∴3131-27 = 314 = 961 x 961.

Q: 3125  256  ?  4  1 Which number replaces the "?" in the question? 2769 0

  • 1
    27
    Correct
    Wrong
  • 2
    128
    Correct
    Wrong
  • 3
    32
    Correct
    Wrong
  • 4
    64
    Correct
    Wrong
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Answer : 1. "27"
Explanation :

Answer: A) 27 Explanation: In the given series numbers are arranged following the rule, 55,44, 33, 22, 11  Therefore, the missing number is 27.

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 : 1874 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.

Q: If 3x-y=27, 3x+y=243 then find the x value 1950 0

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

Answer: C) 4 Explanation: Given that 3x-y=27, 3x+y=243 ⇒3x-y =33 , 3x+y=35  => x-y=3, x+y=5  => x = 4

Q: A container contains 50 litres of milk. From that 8 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container ? 2134 0

  • 1
    24.52 litres
    Correct
    Wrong
  • 2
    29.63 litres
    Correct
    Wrong
  • 3
    28.21 litres
    Correct
    Wrong
  • 4
    25.14 litres
    Correct
    Wrong
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Answer : 2. "29.63 litres"
Explanation :

Answer: B) 29.63 litres Explanation: Given that container has 50 litres of milk.  After replacing 8 litres of milk with water for three times, milk contained in the container is:  ⇒501-8503 ⇒50×4250×4250×4250  = 29.63 litres.

Q: Find the ratio of the areas of the incircle and circumcircle of a square ? 1520 0

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

Answer: D) 1 : 2 Explanation: Let the side of the square be x. Then, its diagonal = 2x.     Radius of incircle = x/2  and radius of circumcircle =2x2 . Therefore, required ratio = πx24:πx22 = 14:12=1:2

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