CAT Practice Question and Answer
8Q: Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ? 3055 05b5cc731e4d2b4197774f819
5b5cc731e4d2b4197774f819- 1900 mtsfalse
- 2300 mtsfalse
- 3250 mtsfalse
- 4500 mtstrue
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Answer : 4. "500 mts"
Explanation :
Answer: D) 500 mts Explanation: Using pythagarous theorem,distance travelled by first train = 36x5/18x30 = 300mdistance travelled by second train = 48x5/18x30 = 400mso distance between them =√( 90000 + 160000) = √250000 = 500mts.
Q: Five boxes of bananas sell for Rs. 30. how many boxes can you buy for Rs.9? 3051 05b5cc636e4d2b4197774b9ff
5b5cc636e4d2b4197774b9ff- 12false
- 21.5true
- 31.25false
- 42.5false
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Answer : 2. "1.5"
Explanation :
Answer: B) 1.5 Explanation: Given Five boxes of bananas sell for Rs. 30. => 1 Box of Bananas for = 30/5 = Rs. 6 Then, for Rs. 9 => 9/6 = 3/2 = 1.5 Hence, for Rs. 9, 1.5 box of bananas can buy.
Q: Althaf borrows Rs. 1500 from two moneylenders. He pays interest at the rate of 12% per annum for one loan and at the rate of 14% per annum for the other. The total interest he pays for the entire year is Rs. 186. How much does he borrow at the rate of 12% ? 3046 05b5cc6fee4d2b4197774f166
5b5cc6fee4d2b4197774f166- 1Rs. 300false
- 2Rs. 400false
- 3Rs. 1200true
- 4Rs. 1100false
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Answer : 3. "Rs. 1200"
Explanation :
Answer: C) Rs. 1200 Explanation: Let Althaf lent Rs. A at 14% per year.Hence, Money lent at 12% = (1500-A);Given, total interest = Rs. 186.{(A x 14x 1)/100} + {[(1500-A) x 12 x 1/100]} = 186;14A/100 + (18000 -12A)/100 = 186;14A + 18000 - 12A = 186x100;2A = 18600-18000;A = 600/2 = Rs. 300.Hence, money lent at 12% = 1500-300 = Rs. 1200.
Q: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 3045 05b5cc731e4d2b4197774f7bf
5b5cc731e4d2b4197774f7bf- 1521false
- 2720true
- 3420false
- 4225false
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Answer : 2. "720"
Explanation :
Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240 Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.
Q: Which component of an IED creates an electrical charge? 3045 05b5cc6a2e4d2b4197774cbdc
5b5cc6a2e4d2b4197774cbdc- 1activatorfalse
- 2fusefalse
- 3explosivefalse
- 4power sourcetrue
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Answer : 4. "power source"
Explanation :
Answer: D) power source Explanation: The power source such as a Battery of an IED creates an electrical charge. What are IED's :: An Improvised Explosive Device (IED) is a bomb constructed and deployed in ways other than in conventional military action. It may be constructed of conventional military explosives, such as an artillery shell, attached to a detonating mechanism. IEDs are commonly used as roadside bombs.
Q: A man is facing north-west. He turns 90o in the clockwise direction, then 180o in the anticlockwise direction and then another 90o in the same direction. Which direction is he facing now? 3043 05b5cc7e1e4d2b419777516cc
5b5cc7e1e4d2b419777516cc- 1Southfalse
- 2South-westfalse
- 3South-easttrue
- 4Eastfalse
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Answer : 3. "South-east"
Explanation :
Answer: C) South-east Explanation: As shown in fig. the man initially faces in the direction OP. On moving 900 clockwise, he faces in the direction OX. On further moving 1800 anticlockwise, he faces in the direction OY. Finally, on moving 900anticlockwise, he faces in the direction OZ, which is South-east.
Q: P, Q, R, S, T and U are six consecutive odd numbers and their average is 52. What is the product of P and U ? 3040 05b5cc6b9e4d2b4197774d711
5b5cc6b9e4d2b4197774d711- 12212false
- 22154false
- 32349false
- 42679true
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Answer : 4. "2679"
Explanation :
Answer: D) 2679 Explanation: Let x, x+2, x+4, x+6, x+8 and x+10 are six consecutive odd numbers. Given that their average is 52 Then, x + x+2 + x+4 + x+6 + x+8 + x+10 = 52×6 6x + 30 = 312 x = 47 So Product = 47 × 57 = 2679
Q: How many lines of symmetry does a Pentagon have? 3039 05b5cc6b2e4d2b4197774d36e
5b5cc6b2e4d2b4197774d36e- 14false
- 25true
- 36false
- 40false
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Answer : 2. "5"
Explanation :
Answer: B) 5 Explanation: A regular Pentagon have 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.