CAT Practice Question and Answer
8Q: The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ? 1808 05b5cc701e4d2b4197774f1b2
5b5cc701e4d2b4197774f1b2- 128true
- 219false
- 337false
- 446false
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Answer : 1. "28"
Explanation :
Answer: A) 28 Explanation: Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28The difference is 82 - 28 = 54 i.e, the number is decreased by 54.
Q: Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ? 1808 05b5cc71ee4d2b4197774f568
5b5cc71ee4d2b4197774f568- 176%false
- 272%false
- 380%true
- 482%false
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Answer : 3. "80%"
Explanation :
Answer: C) 80% Explanation: circumference of A = 2πr = 8 => so r = 4πvolume = π×4π2×10 = 160πcircumference of B = 2πr = 10 => so r = 5πvolume = π×5π2×8 = 200πso ratio of capacities = 160/200 = 0.8 so capacity of A will be 80% of the capacity of B.
Q: Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet? 1807 05b5cc6abe4d2b4197774d067
5b5cc6abe4d2b4197774d067- 1360 kmsfalse
- 2480 kmstrue
- 3520 kmsfalse
- 4240 kmsfalse
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Answer : 2. "480 kms"
Explanation :
Answer: B) 480 kms Explanation: Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms Let the Charminar Express takes 't' hrs to catch Chennai express => 80 x t = 60 x (2 + t) => 80 t = 120 + 60t => t = 6 hrs Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.
Q: Which of the following is an Autotroph? 1807 05b5cc6b1e4d2b4197774d355
5b5cc6b1e4d2b4197774d355- 1Fishfalse
- 2Algaetrue
- 3Butterflyfalse
- 4Mushroomfalse
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Answer : 2. "Algae"
Explanation :
Answer: B) Algae Explanation: Here from the above options, Algae is an Autotroph. Autotrophs : An Autotroph is also called as Producer, is an organism that produces complex organic compounds from simple substances present in its surroundings, generally using energy from light or inorganic chemical reactions.
Q: Math Challenge 1807 05b5cc6d5e4d2b4197774e633
5b5cc6d5e4d2b4197774e633- 17false
- 244false
- 34true
- 433false
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Answer : 3. "4"
Explanation :
Answer: C) 4 Explanation: Let the required number be 'N' given that its quarter i.e; N/4 exceeds its double i.e, 2N by 7 => N/4 + 7 = 2N => N + 28 = 8N 7N = 28 N = 4.
Q: There are 15 lines in plane. How many intersections (Maximum) can be made ? 1806 05b5cc73de4d2b4197774f916
5b5cc73de4d2b4197774f916- 155false
- 2105true
- 3215false
- 4148false
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Answer : 2. "105"
Explanation :
Answer: B) 105 Explanation: First line will cut all other 14, similarly second will cut 13, and so onTotal = 14+13+12+11+10+9+8+7+6+5+4+3+2+1 = 105.
Q: How long will it take for two pipes A and B to fill an empty cistern if they worked alternately for an hour each ? A. Working alone, Pipe A can fill the cistern in 40 hoursB. Pipe B is one third as efficient as Pipe A 1806 05b5cc6d2e4d2b4197774e456
5b5cc6d2e4d2b4197774e456- 1Only A is sufficientfalse
- 2Only B is sufficientfalse
- 3Both (A) and (B) are sufficienttrue
- 4A) and (B) are sufficient D)false
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Answer : 3. "Both (A) and (B) are sufficient"
Explanation :
Answer: C) Both (A) and (B) are sufficient Explanation: From statement A, we know that Pipe A can fill the tank in 40 hours. However, this information is not sufficient as we do not have the data for Pipe B. Hence, statement A alone cannot answer the given question.From statement B, we know that Pipe B is one third as efficient as pipe A. However, we do not know the rate at which Pipe A fills the tank. Hence, we will not be able to find the rate at which Pipe B fills the cistern. Therefore, statement B alone is not sufficient to answer the question.Now, if we combine the two statements, we know that Pipe A take 40 hours to fill the cistern.Pipe B takes 120 hours to fill the cistern.If they worked alternately, then either Pipe A could have started the cycle or Pipe B could have started the cycle.If Pipe A started the sequence of filling alternately, then at the end of two hours, the two pipes together would have filled 1/40 + 1/120 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.If Pipe B started the sequence, then at the end of 2 hours, the two pipes together would have filled 1/120 + 1/40 = 1/30 th of the tank in an hour. Or the cistern will fill in 30 hours.As the answer obtained irrespective of which pipe started the sequence is the same, the correct answer is (3) - i.e., both the statement are sufficient to answer the question.
Q: Which of the following is the oldest Joint Stock Bank of India ? 1806 05b5cc6d8e4d2b4197774e791
5b5cc6d8e4d2b4197774e791- 1Patiala Bankfalse
- 2Punjab National Bankfalse
- 3Bank of Indiafalse
- 4Allahabad Banktrue
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Answer : 4. "Allahabad Bank"
Explanation :
Answer: D) Allahabad Bank Explanation: Oldest Joint Stock bank of India was Bank of Upper India that was established in 1863. But this bank failed in 1913. India's Oldest Joint Stock Bank which is still working is Allahabad Bank. It is also known as India's oldest public sector bank.

