IIT JEE Practice Question and Answer
8Q: In how many years, Rs. 200 will produce the same interest @ 5 % as Rs. 900 produce in 2 years @ 3 ½ % ? 4349 05b5cc6dbe4d2b4197774e909
5b5cc6dbe4d2b4197774e909- 15.2 yrsfalse
- 27 yrsfalse
- 37.9 yrsfalse
- 46.3 yrstrue
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Answer : 4. "6.3 yrs"
Explanation :
Answer: D) 6.3 yrs Explanation: P = Rs. 900, R = 3 ½ % = 7/2 %, T = 2 years. Therefore, S.I. = PTR/100 S.I. = Rs. (900 x 7/2 x 2/100) = Rs. 63 Now, P = Rs. 200, S.I. = Rs. 63, R = 5 % Time = ((100 x 63) / (200 x 5) ) years = 6.3 years.
Q: 1.12.91 is the first Tuesday. Which is the fourth Thursday of December 91 ? 1652 05b5cc6dbe4d2b4197774e8ff
5b5cc6dbe4d2b4197774e8ff- 122.12.91false
- 225.12.91true
- 324.12.91false
- 423.12.91false
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Answer : 2. "25.12.91"
Explanation :
Answer: B) 25.12.91 Explanation: Given that 2.12.91 is the first TuesdayHence we can assume that 4.12.91 is the first Thursday If we add 7 days to 4.12.91, we will get second ThursdayIf we add 14 days to 4.12.91, we will get third ThursdayIf we add 21 days to 4.12.91, we will get fourth Thursday => fourth Thursday = (4.12.91 + 21 days) = 25.12.91.
Q: A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was : 1164 05b5cc6dbe4d2b4197774e904
5b5cc6dbe4d2b4197774e904- 1Rs. 15,000true
- 2Rs. 1,50,000false
- 3Rs. 1500false
- 4Rs. 1,62,000false
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Answer : 1. "Rs. 15,000"
Explanation :
Answer: A) Rs. 15,000 Explanation: Principal = Rs.(100 x 5400)/(12 x 3)= Rs. 15000.
Q: If today is Saturday, what will be the day 350 days from now ? 5806 05b5cc6dbe4d2b4197774e8eb
5b5cc6dbe4d2b4197774e8eb- 1Saturdaytrue
- 2Fridayfalse
- 3Sundayfalse
- 4Mondayfalse
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Answer : 1. "Saturday"
Explanation :
Answer: A) Saturday Explanation: 350 days, 350/7 = 50, no odd days, so it will be a Saturday.
Q: The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal ___________ to make the document verification process easier. 1166 05b5cc6dbe4d2b4197774e8f0
5b5cc6dbe4d2b4197774e8f0- 1e-bharatfalse
- 2e-sanadtrue
- 3e-foriegnfalse
- 4e-verifyfalse
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Answer : 2. "e-sanad"
Explanation :
Answer: B) e-sanad Explanation: The Human Resource Development Ministry and the External Affairs Ministry launched an online verification portal to make the document verification process easier for students who planning to study abroad. The Central Board of Secondary Education’s (CBSE) academic repository of degrees and certificates “Parinam Manjusha” was also involved in the project of creating “eSanad”.
Q: Which 'Water Body' separates Andaman and Nicobar Islands ? 2717 05b5cc6dbe4d2b4197774e8e6
5b5cc6dbe4d2b4197774e8e6- 1Eleventh Degree Channelfalse
- 2Andaman Seafalse
- 3Bay of Bengalfalse
- 4Ten Degree Channeltrue
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Answer : 4. "Ten Degree Channel"
Explanation :
Answer: D) Ten Degree Channel Explanation:
Q: A can do a piece of work in 15 days and B can do it in 16 days and C can do it 24 days. They started the work together and A leaves after 3 days and B leaves after 4 days from the beginning. How long will work lost ? 1485 05b5cc6dae4d2b4197774e8dc
5b5cc6dae4d2b4197774e8dc- 110 2/3 daysfalse
- 213 1/5 daystrue
- 312 2/3 daysfalse
- 411 5/7 daysfalse
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Answer : 2. "13 1/5 days"
Explanation :
Answer: B) 13 1/5 days Explanation: 3/15 + 4/16 + x/24 = 1 ⇒x=1315
Q: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4543 05b5cc6dae4d2b4197774e8d7
5b5cc6dae4d2b4197774e8d7- 13/17false
- 24/21false
- 32/21true
- 45/17false
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Answer : 3. "2/21"
Explanation :
Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35 Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21