CAT Practice Question and Answer

Q: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ? 3540 0

  • 1
    Rs. 500
    Correct
    Wrong
  • 2
    Rs. 245
    Correct
    Wrong
  • 3
    Rs. 1250
    Correct
    Wrong
  • 4
    Rs. 635
    Correct
    Wrong
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Answer : 1. "Rs. 500"
Explanation :

Answer: A) Rs. 500 Explanation: (kx5x1)/100 + [(1500 - k)x6x1]/100 = 85 5k/100 + 90 – 6k/100 = 85 k/100 = 5 => k = 500

Q: At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ? 3535 0

  • 1
    66 sec
    Correct
    Wrong
  • 2
    55 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    24 sec
    Correct
    Wrong
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Answer : 1. "66 sec"
Explanation :

Answer: A) 66 sec Explanation: For ticking 6 times, there are 5 intervals. Each interval has time duration of 30/5 = 6 secs At 12 o'clock, there are 11 intervals,so total time for 11 intervals = 11 x 6 = 66 secs.

Q: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3528 0

  • 1
    12 & 7
    Correct
    Wrong
  • 2
    13 & 8
    Correct
    Wrong
  • 3
    15 & 10
    Correct
    Wrong
  • 4
    14 & 9
    Correct
    Wrong
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Answer : 1. "12 & 7"
Explanation :

Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7

Q: A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ? 3520 0

  • 1
    1080 cm
    Correct
    Wrong
  • 2
    180 m
    Correct
    Wrong
  • 3
    108 m
    Correct
    Wrong
  • 4
    118 cm
    Correct
    Wrong
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Answer : 3. "108 m"
Explanation :

Answer: C) 108 m Explanation: We know the rule that,   At particular time for all object , ratio of height and shadow are same.   Let the height of the pole be 'H'   Then  188=H48   => H = 108 m.

Q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days? 3515 0

  • 1
    710 acres
    Correct
    Wrong
  • 2
    760 acres
    Correct
    Wrong
  • 3
    810 acres
    Correct
    Wrong
  • 4
    860 acres
    Correct
    Wrong
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Answer : 3. "810 acres"
Explanation :

Answer: C) 810 acres Explanation: 12 men120 acres36 days54 men?54 days  As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped.   Thus, the numbers of acres that can be reaped by 54 men in 54 days = 5412x120x5436 = 810 acres

Q: Transition : Change :: Immobility :  ? 3510 0

  • 1
    Stillness
    Correct
    Wrong
  • 2
    Liveliness
    Correct
    Wrong
  • 3
    Action
    Correct
    Wrong
  • 4
    Busyness
    Correct
    Wrong
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Answer : 1. "Stillness"
Explanation :

Answer: A) Stillness Explanation: Given Transition is to Change, and we know that Transition and change are Synonyms. Similarly, Immobility means not moving and synonym of immobility are motionlessness, stillness,...   Hence, Transition is to change as immobility is to stillness.

Q: Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes? 3496 0

  • 1
    25 kgs
    Correct
    Wrong
  • 2
    30 kgs
    Correct
    Wrong
  • 3
    35 kgs
    Correct
    Wrong
  • 4
    40 kgs
    Correct
    Wrong
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Answer : 4. "40 kgs"
Explanation :

Answer: D) 40 kgs Explanation: The fruit content in both the fresh fruit and dry fruit is the same. Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes   => 60 x 40100 = p x 60100=> p = 40 kgs.   Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

Q: A group of men can complete a job in K hours. After every 4 hours, half the number of men working at that point of time leave the job. Continuing this way if the job is finished in 16 hours, what is the value of K ? 3496 0

  • 1
    7 hrs
    Correct
    Wrong
  • 2
    7.5 hrs
    Correct
    Wrong
  • 3
    8 hrs
    Correct
    Wrong
  • 4
    8.25 hrs
    Correct
    Wrong
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Answer : 2. "7.5 hrs"
Explanation :

Answer: B) 7.5 hrs Explanation: Let there are L men job requires LK man hours.   job completed in first 4 hrs = L x 4 = 4L job completed in next 4 hrs = 4 x L/2 = 2L job completed in next 4 hrs = 4 x L/4 = L job completed in last 4 hrs = 4 x L/8 = L/2 4L + 2L + L + L/2 = KL K = 7+1/2 = 7.5 hours.

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