IIT JEE Practice Question and Answer
8Q: If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ? 1734 05b5cc761e4d2b4197774fd39
5b5cc761e4d2b4197774fd39- 15false
- 24false
- 320true
- 428false
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Answer : 3. "20"
Explanation :
Answer: C) 20 Explanation: Given (2a + 3b)/(5a - 3b) = 23/5 => 10a + 15b = 115a - 69b=> 105a = 84b => 5a = 4b a/b = 4/5 => a=4 & b=5=> bxa = 5x4 = 20.
Q: On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ? 1332 05b5cc761e4d2b4197774fd3f
5b5cc761e4d2b4197774fd3f- 1Rs. 5422false
- 2Rs. 10,500true
- 3Rs. 12,800false
- 4Rs. 15,000false
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Answer : 2. "Rs. 10,500"
Explanation :
Answer: B) Rs. 10,500 Explanation: The ratio of distribution should be: 21 x 15 : 15 x 35 : 35 x 21= 315 : 525 : 735 = 3 : 5 : 7The smallest share will be of worth: 3/15 x 52,500 = Rs. 10,500
Q: A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.Two faces measuring 4 cm x 1 cm are coloured in black.Two faces measuring 6 cm x 1 cm are coloured in red.Two faces measuring 6 cm x 4 cm are coloured in green.The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side). How many cubes will have green colour on two sides and rest of the four sides having no colour ? 7307 05b5cc761e4d2b4197774fd34
5b5cc761e4d2b4197774fd34- 18true
- 224false
- 316false
- 44false
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Answer : 1. "8"
Explanation :
Answer: A) 8 Explanation: There are 16 small cubes attached to the outer walls of the cuboid.Therefore remaining inner small cubes will be the cubes having two sides green coloured.So the required number = 24 - 16 = 8
Q: Only if Sheela is happy, then she does not go to work. 1888 05b5cc761e4d2b4197774fd20
5b5cc761e4d2b4197774fd20- 1Sheela is not happy and she goes to work.true
- 2Sheela is happy and she does not go to workfalse
- 3Sheela is not happy and she does not go to work.false
- 4Sheela is happy and she goes to work.false
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Answer : 1. "Sheela is not happy and she goes to work."
Explanation :
Answer: A) Sheela is not happy and she goes to work. Explanation: The event of "Sheela is not going to work" happens only when the event "Sheela is happy" happens. Also, if the event "Sheela is happy" does not happen, then the event "Sheela is not going to work" will not happen. In other words, if it is true that Sheela is not happy, then it means that Sheela is going to work.
Q: Statement: Properly fed and starved monkeys were made to run through a network of paths designed as a puzzle. It was observed that the starved monkeys could not run faster. This proved that the people with lower intelligence in poor countries are a victim of malnutrition.Course of action:a. The effects of nutrition on the intelligence of the monkeys is parallel to those on human beings.b. Captive monkeys are more intelligent than wild monkeys. 1513 05b5cc761e4d2b4197774fd1b
5b5cc761e4d2b4197774fd1b- 1Only b followsfalse
- 2Only a followstrue
- 3Both a & b followsfalse
- 4Neither a nor b followsfalse
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Answer : 2. "Only a follows"
Explanation :
Answer: B) Only a follows Explanation: The proper nourishment will make the monkeys or human beings work properly. So, the course of action I follows. Course of action II does not follow as there is no information about captive or wild monkeys.
Q: A watch which gains uniformly is 2 minutes low at noon on Tuesday and is 4 min 48 sec fast at 2 p.m. on the following Tuesday. When was it correct ? 1285 05b5cc761e4d2b4197774fd0c
5b5cc761e4d2b4197774fd0c- 112 p.m. on Wednesdayfalse
- 22 p.m. on Thursdaytrue
- 33 p.m. on Thursdayfalse
- 42 p.m. on Wednesdayfalse
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Answer : 2. "2 p.m. on Thursday"
Explanation :
Answer: B) 2 p.m. on Thursday Explanation: Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.= 170 hours.The watch gains = (2 + 4 x 4/5) min= 34/5 min. in 170 hrs.Now, 34/5 min are gained in 170 hrs.Then, 2 min are gained in (170 x 5/34 x 2) hrs.Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.
Q: Choose the Antonym of the following word 'Autonomy' 1566 05b5cc761e4d2b4197774fd07
5b5cc761e4d2b4197774fd07- 1Antipathyfalse
- 2Dependencetrue
- 3Antruismfalse
- 4Animationfalse
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Answer : 2. "Dependence"
Explanation :
Answer: B) Dependence Explanation: 'Autonomy' means personal independence. Hence, the word 'dependence' is farthest in meaning to the given word 'Autonomy'.
Q: Choose the Antonym of the given word from the following options 'Jettison' 2425 05b5cc761e4d2b4197774fd02
5b5cc761e4d2b4197774fd02- 1Salvagetrue
- 2Submergefalse
- 3Repentfalse
- 4Descendfalse
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Answer : 1. "Salvage"
Explanation :
Answer: A) Salvage Explanation: 'Jettison' means to discard and 'salvage' means to rescue something discarded. Hence, 'salvage' is the word which is farthest in meaning to the given word 'Jettison'.