CAT Practice Question and Answer

Q: A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ? 3028 0

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    Rs. 404.80
    Correct
    Wrong
  • 2
    Rs. 536.80
    Correct
    Wrong
  • 3
    Rs.440
    Correct
    Wrong
  • 4
    Rs. 160
    Correct
    Wrong
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Answer : 1. "Rs. 404.80"
Explanation :

Answer: A) Rs. 404.80 Explanation: Let C1 be the cost price of the first article and C2 be the cost price of the second article.Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%. We know, C1 + C2 = 600.The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2. The total selling price of the first and second article = 1.22C1 + 0.92C2. As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2. Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get1.22C1 + 0.92(600 - C1) = 600or 1.22C1 - 0.92C1 = 600 - 0.92*600or 0.3C1 = 0.08*600 = 48or C1 = 48/(0.3) = 160.If C1 = 160, then C2 = 600 - 160 = 440.The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80.

Q: Ayurveda Owes its Origin to 3019 0

  • 1
    Yajurveda
    Correct
    Wrong
  • 2
    Atharvaveda
    Correct
    Wrong
  • 3
    Rigveda
    Correct
    Wrong
  • 4
    Samaveda
    Correct
    Wrong
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Answer : 2. "Atharvaveda"
Explanation :

Answer: B) Atharvaveda Explanation: Ayurveda Owes its Origin to Atharvaveda.   The early history of ayurveda asserts that around 1500 BC, ayurveda's fundamental and applied principles got organised and enunciated. In this historical construction, Ayurveda traces its origins to the Vedas, Atharvaveda in particular, and is connected to Hindu religion. Atharvaveda (one of the four most ancient books of Indian knowledge, wisdom and culture) contains 114 hymns or formulations for the treatment of diseases. Ayurveda originated in and developed from these hymns. In this sense, ayurveda is considered by some to have divine origin. Indian medicine has a long history, and is one of the oldest organised systems of medicine. Its earliest concepts are set out in the sacred writings called the Vedas, especially in the metrical passages of the Atharvaveda.

Q: The study of Heavenly bodies is called 3018 0

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    Astronomy
    Correct
    Wrong
  • 2
    Astrology
    Correct
    Wrong
  • 3
    Astrophysics
    Correct
    Wrong
  • 4
    Astronautics
    Correct
    Wrong
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Answer : 1. "Astronomy"
Explanation :

Answer: A) Astronomy Explanation: Astronomy is the study of planets and heavenly bodies. Historically, astronomy has focused on observations of heavenly bodies. It is a close cousin to astrophysics. Succinctly put, astrophysics involves the study of the physics of astronomy and concentrates on the behavior, properties and motion of objects out there.

Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 3017 0

  • 1
    A = 48000 B = 40000 C = 30000
    Correct
    Wrong
  • 2
    A = 30000 B = 40000 C = 48000
    Correct
    Wrong
  • 3
    A = 30000 B = 48000 C = 40000
    Correct
    Wrong
  • 4
    A = 40000 B = 48000 C = 30000
    Correct
    Wrong
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :

Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000

Q: A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream? 3017 0

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    72 km
    Correct
    Wrong
  • 2
    36 km
    Correct
    Wrong
  • 3
    56 km
    Correct
    Wrong
  • 4
    42 km
    Correct
    Wrong
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Answer : 1. "72 km"
Explanation :

Answer: A) 72 km Explanation: Rate of her upstream = 12/2.5 = 4.8 km/hr Then, ATQ Rate of downstream = 4.8 x 3 = 14.4 km/hr   Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

Q: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race ? 3015 0

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

Answer: A) 3 times Explanation: Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other. So totally they met 3 times in opposite direction.

Q: The age of Sohail, Afzal and Bilal are 17,16 and 12 respectively. If the age of Aslam also included the average of the ages is increased by 5. What is the age of Aslam? 3011 0

  • 1
    32
    Correct
    Wrong
  • 2
    33
    Correct
    Wrong
  • 3
    34
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 4. "35"
Explanation :

Answer: D) 35 Explanation: Given S = 17 yrs A = 16 yrs B = 12 yrs Average = 17 + 16 + 12/3 = 15 yrs Given if Aslam added to them, their average increases by 5 => Average of 4 members = 20 Let the age of Aslam be 'x' Then,  17 + 16 + 12 + x /4 = 20 => x = 80 - 45 => x = 35.    Hence, the age of Aslam is 35 yrs.

Q: If the rate increases by 2%, the simple interest received on a sum of money increases by Rs. 108. If the time period is increased by 2 years, the simple interest on the same sum increases by Rs.180. The sum is ? 3010 0

  • 1
    Rs. 540
    Correct
    Wrong
  • 2
    Rs. 415
    Correct
    Wrong
  • 3
    Rs. 404
    Correct
    Wrong
  • 4
    Data is not sufficient
    Correct
    Wrong
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Answer : 4. "Data is not sufficient"
Explanation :

Answer: D) Data is not sufficient Explanation: Let the sum be Rs. p, rate be R% p.a. and time be T years. Then,  P×T×(R+2)100-P×T×R100=108  ⇒2PT= 10800  ...... (1)  And,   P×R×(T+2)100-P×R×T100=180   ⇒2PR = 18000 ......(2) Clearly, from (1) and (2), we cannot find the value of pSo, the data is not sufficient.

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