IIT JEE Practice Question and Answer
8Q: Dot cabs company provides cabs for software employees. The company has 8 Swift dzires, 6 Scorpios, 7 Innovas and few small cars. If Swift dzire makes one fourth of the total fleet, how many small cars are there in the company ? 2260 05b5cc741e4d2b4197774f9ea
5b5cc741e4d2b4197774f9ea- 19false
- 210false
- 311true
- 412false
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Answer : 3. "11"
Explanation :
Answer: C) 11 Explanation: Given the company has 8 SD + 6 SRP + 7 IN = 21 cars + 'x' small cars.Given SD makes 1/4 th of the total fleet.=> 8 = 1/4 (21 + x)=> 32 = 21 + x=> x = 11 Therefore, the company has 11 small cars.
Q: A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ? 2260 05b5cc74ae4d2b4197774facc
5b5cc74ae4d2b4197774facc- 140 kmfalse
- 230 kmfalse
- 320 kmtrue
- 410 kmfalse
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Answer : 3. "20 km"
Explanation :
Answer: C) 20 km Explanation: Average speed = 2aba+b, here a=25 b=4 = 2 x 25 x 4/(25+4) = 200/29 km/hr. Distance covered in 5 hours 48 minutes = Speed x time = (200/29)x (29/5) Distance covered in 5 hours 48 minutes = 40kms. Distance of the post office from the village = (40/2) = 20 km.
Q: 7 years ago, the ratio of the ages of Anirudh to that of Bhavana, was 7:9. Chandhu is 12 years older than Anirudh and 12 years younger than Bhavana. What is Chandhu's present age? 2259 05b5cc6bbe4d2b4197774d849
5b5cc6bbe4d2b4197774d849- 191 yearsfalse
- 2115 yearsfalse
- 3103 yearstrue
- 4Can't be determinedfalse
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Answer : 3. "103 years"
Explanation :
Answer: C) 103 years Explanation: Let present Anirudh's age be 'A' and Bhavana's age be 'B' Given seven years, their ratio is 7:9 => A-7 : B-7 = 7 : 9 => 9A - 7B = 14 .......(1) And given, Chandhu is 12 years older than A nad 12 years younger than B => C = A + 12....(2) => B = C + 12 => B = A + 12 + 12 .....(From (2)) => B = A + 24 ....(3) Put (3) in (1) 9A - 7(A+24) = 14 9A - 7A - 168 = 14 2A = 182 => A = 91 years => C = A + 12 = 91 +12 = 103 years.
Q: What is two weeks from today? 2258 05b5cc6a6e4d2b4197774cd47
5b5cc6a6e4d2b4197774cd47- 1same daytrue
- 2previous dayfalse
- 3next dayfalse
- 4Nonefalse
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Answer : 1. "same day"
Explanation :
Answer: A) same day Explanation: We know that the day repeats every 7 days, 14 days, 21 days,... So if today is Monday, after 7 days it is again Monday, after 14 days again it is Monday. Hence, after 2 weeks i.e, 14 days the day repeats and is the same day.
Q: A decision committee of 5 members is to be formed out of 4 Actors, 3 Directors and 2 Producers. In how many ways a committee of 2 Actors, 2 Directors and 1 Producer can be formed ? 2258 05b5cc6b6e4d2b4197774d572
5b5cc6b6e4d2b4197774d572- 118false
- 224false
- 336true
- 432false
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Answer : 3. "36"
Explanation :
Answer: C) 36 Explanation: Required Number of ways = 4C2 × 3C2 × 2C1 = 36 = 36
Q: If 'A $ B' means 'A is brother of B', 'A @ B' means 'A is wife of B', 'A #B' means ' A is daughter of B' and 'A * B' means 'A is father of B', then which of the following expressions indicates the relationship 'U is father-in-law of P ? 2257 05b5cc715e4d2b4197774f468
5b5cc715e4d2b4197774f468- 1P@Q$T#U*Wtrue
- 2P@Q$T#W*Ufalse
- 3P@W$Q*T#Ufalse
- 4P@Q$W*T#Ufalse
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Answer : 1. "P@Q$T#U*W"
Explanation :
Answer: A) P@Q$T#U*W Explanation: Here the P is the wife of Q who is brother of T who is daughter of U. That implies P is wife of U's son Q => U is father-in-law of P.
Q: Find the odd man out of the following number series? 22, 26, 42, 78, 142, 244 2257 05b5cc619e4d2b4197774b70a
5b5cc619e4d2b4197774b70a- 1244true
- 2142false
- 378false
- 442false
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Answer : 1. "244"
Explanation :
Answer: A) 244 Explanation: The given number series 22, 26, 42, 78, 142, 244 follows a pattern that, 2222 + 22 = 22 + 4 = 2626 + 42 = 26 + 16 = 4242 + 62 = 42 + 36 = 7878 + 82 = 78 + 64 = 142142 + 102 = 142 + 100 = 242 Hence, the odd one in the given number series is 244.
Q: Two bus tickets from city K to L and three tickets from city K to M cost Rs. 77, but three tickets from city K to L and two tickets from city K to M cost Rs. 73. What are the fares for cities L and M from K ? 2257 05b5cc720e4d2b4197774f5e0
5b5cc720e4d2b4197774f5e0- 1Rs. 13 and Rs. 17true
- 2Rs. 17 and Rs. 19false
- 3Rs. 23 and Rs. 17false
- 4Rs. 13 and Rs. 19false
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Answer : 1. "Rs. 13 and Rs. 17"
Explanation :
Answer: A) Rs. 13 and Rs. 17 Explanation: If fares for cities L and M from K are x and y respectively, then 2x + 3y = 77 or 6x + 9y = 231...(1)3x + 2y = 73 or 6x + 4y = 146...(2) subtracting 2 from 1, we get 5y = 85 y = Rs. 17 => x = Rs. 13