CAT Practice Question and Answer
8Q: Solve the Riddle :: Three men were on a boat that was stuck one mile from the shore. One was afraid of Sharks. The other couldn't Swim. And the last one didn't have a life jacket. However, they reached the shore without any problems. How did they do it? 3530 05b5cc69fe4d2b4197774c9dc
5b5cc69fe4d2b4197774c9dc- Show AnswerHide Answer
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Answer :
Explanation :
They walked and did this. It was never specified that the boat was at sea. Since this logic is observed by them to tackle situation.
Q: In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? 3528 05b5cc74fe4d2b4197774fb35
5b5cc74fe4d2b4197774fb35- 1145false
- 2165false
- 3175true
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Answer : 3. "175"
Explanation :
Answer: C) 175 Explanation: Given that, working days = 5 working hours = 8 A man get rupess per hour is Rs.2.40 So in one day the man get total rupees is 2.40 x 8 = 19.2 So in 5 days week the man get total rupees is 19.2 x 5 = 96 So in 4 week the man get total rupees is 96 x 4 = 384 So the man worked for = 160hours in 4 weeks But given that the man earned Rs.432 Hence remaning money is (432-384 = 48)which is earn by doing overtime work Overtime hours = 48/3.20 = 15 So total worked hours is = 15 + 160 = 175.
Q: Each consonant in the word TIRADES is replaced by the previous letter in the English alphabet and each vowel is replaced by the next letter in the English alphabet and the new letters are arranged alphabetically. Which of the following will be the fourth from the right end ? 3526 05b5cc736e4d2b4197774f888
5b5cc736e4d2b4197774f888- 1Sfalse
- 2Qfalse
- 3Jtrue
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Answer : 3. "J"
Explanation :
Answer: C) J Explanation: Given word is TIRADESNow the consonants T, R, D, S are replaced by S, Q, C, RAnd Vowels are I, A, E are replaced by J, B and FThey are arranged alphabeticallyNew word is BCFJQRS The fourth letter from the right end is J.
Q: A man spend Rs. 810 in buying trouser at Rs. 70 each and shirt at Rs. 30 each. What will be the ratio of trouser and shirt when the maximum number of trouser is purchased ? 3516 05b5cc731e4d2b4197774f7b5
5b5cc731e4d2b4197774f7b5- 11:3false
- 22:1false
- 33:2true
- 42:3false
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Answer : 3. "3:2"
Explanation :
Answer: C) 3:2 Explanation: Let us assume S as number of shirts and T as number of trousersGiven that each trouser cost = Rs.70 and that of shirt = Rs.30Therefore, 70 T + 30 S = 810=> 7T + 3S = 81......(1)T = ( 81 - 3S )/7 We need to find the least value of S which will make (81 - 3S) divisible by 7 to get maximum value of TSimplifying by taking 3 as common factor i.e, 3(27-S) / 7In the above equation least value of S as 6 so that 27- 3S becomes divisible by 7 Hence T = (81-3xS)/7 = (81-3x6)/7 = 63/7 = 9 Hence for S, put T in eq(1), we getS = 81-7(9)/3 = 81-63 / 3 = 18/3 = 6.The ratio of T:S = 9:6 = 3:2.
Q: What is the value of P in the following Equation ? 192.5 × 19p = 197 3515 15b5cc6bee4d2b4197774d9a6
5b5cc6bee4d2b4197774d9a6- 13.9false
- 24.1false
- 33.7false
- 44.5true
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Answer : 4. "4.5"
Explanation :
Answer: D) 4.5 Explanation: Given equation is 192.5 ×19p = 197 Here it is in the form of am × an = am+n Here m = 2.5 , n = p, m+n = 7 => 2.5 + p = 7 => p = 7 - 2.5 => p = 4.5
Q: If NAMO = 172 and OM = 56 then, SHIVAY = ? 3505 05b5cc6cee4d2b4197774e237
5b5cc6cee4d2b4197774e237- 1606false
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- 3504true
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Answer : 3. "504"
Explanation :
Answer: C) 504 Explanation: (COUNTING OF LETTERS) NAMO = 14 + 1 + 13 + 15 = 43 x 4 = 172, OM = 15 + 13 = 28 x 2 = 56, SHIVAY = 19 + 8 + 9 + 22 + 1 + 25 = 84 x 6 = 504
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? 3498 05b5cc61ee4d2b4197774b77e
5b5cc61ee4d2b4197774b77e- 132false
- 233false
- 334false
- 435true
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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: P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ? 3493 05b5cc6c0e4d2b4197774db05
5b5cc6c0e4d2b4197774db05- 156 daysfalse
- 254 daysfalse
- 360 daysfalse
- 464 daystrue
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Answer : 4. "64 days"
Explanation :
Answer: D) 64 days Explanation: (P+Q)'s 1 day work = 1/24 P's 1 day work = 1/32 => Q's 1 day work = 1/24 - 1/32 = 1/96 Work done by (P+Q) in 8 days = 8/24 = 1/3 Remainining work = 1 - 1/3 = 2/3 Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.