IIT JEE Practice Question and Answer
8Q: At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ? 3406 05b5cc74ae4d2b4197774fa77
5b5cc74ae4d2b4197774fa77- 111/24false
- 21/5false
- 316/25true
- 46/5false
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Answer : 3. "16/25"
Explanation :
Answer: C) 16/25 Explanation: If there are total 100 candidates, 40 candidates are really capable and 60 candidates are incapable.Of the candidates who are really capable = 80% 40*(80/100)=32 pass the test andof the incapable= 30%60*(30/100)=18 pass the test.Total candidates who passed the test = 32+18 = 50The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.
Q: Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ? 3398 05b5cc6e9e4d2b4197774eded
5b5cc6e9e4d2b4197774eded- 1Rs. 500true
- 2Rs. 245false
- 3Rs. 1250false
- 4Rs. 635false
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Answer : 1. "Rs. 500"
Explanation :
Answer: A) Rs. 500 Explanation: (kx5x1)/100 + [(1500 - k)x6x1]/100 = 85 5k/100 + 90 – 6k/100 = 85 k/100 = 5 => k = 500
Q: Entrepreneurship as a theory of business was propounded by 3397 05b5cc64de4d2b4197774bc8e
5b5cc64de4d2b4197774bc8e- 1Thomas A. Colemanfalse
- 2Joseph A. Schumpetertrue
- 3Adam Smithfalse
- 4Douglas McGregorfalse
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Answer : 2. "Joseph A. Schumpeter"
Explanation :
Answer: B) Joseph A. Schumpeter Explanation: Entrepreneurship as a theory of business was propounded by Joseph. A. Schumpeter. Schumpeter’s Innovation Theory of Profit : Definition: The Innovation Theory of Profit was proposed by Joseph. A. Schumpeter, who believed that an entrepreneur can earn economic profits by introducing successful innovations.
Q: A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ? 3383 05b5cc6cde4d2b4197774e1c2
5b5cc6cde4d2b4197774e1c2- 11080 cmfalse
- 2180 mfalse
- 3108 mtrue
- 4118 cmfalse
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Answer : 3. "108 m"
Explanation :
Answer: C) 108 m Explanation: We know the rule that, At particular time for all object , ratio of height and shadow are same. Let the height of the pole be 'H' Then 188=H48 => H = 108 m.
Q: In a row of boys, Haran is eleventh from the left and manoj is seventeenth form the right. When they exchange their places than Haran will be thirteenth from the left. Which of the following will be the new position of Manoj from the right ? 3382 05b5cc6c6e4d2b4197774de4f
5b5cc6c6e4d2b4197774de4f- 111false
- 219true
- 313false
- 417false
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Answer : 2. "19"
Explanation :
Answer: B) 19 Explanation: Here total number of boys in the row = 11 + 19 = 13 + 17 = 30 Here after exchanging the places of Haran & Manoj => Manoj replaces Harans place of 11th from left But in the question he asked Manoj's place from right = 30 - 11 = 19th place.
Q: Difference between two numbers is 5, six times of the smaller lacks by 6 from the four times of the greater. Find the numbers ? 3379 05b5cc6dce4d2b4197774e979
5b5cc6dce4d2b4197774e979- 112 & 7true
- 213 & 8false
- 315 & 10false
- 414 & 9false
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Answer : 1. "12 & 7"
Explanation :
Answer: A) 12 & 7 Explanation: x – y = 5 4x – 6y = 6 x = 12 y = 7
Q: Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes? 3373 05b5cc6afe4d2b4197774d1e2
5b5cc6afe4d2b4197774d1e2- 125 kgsfalse
- 230 kgsfalse
- 335 kgsfalse
- 440 kgstrue
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Answer : 4. "40 kgs"
Explanation :
Answer: D) 40 kgs Explanation: The fruit content in both the fresh fruit and dry fruit is the same. Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes => 60 x 40100 = p x 60100=> p = 40 kgs. Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.
Q: If 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days? 3371 05b5cc7bbe4d2b419777509be
5b5cc7bbe4d2b419777509be- 1710 acresfalse
- 2760 acresfalse
- 3810 acrestrue
- 4860 acresfalse
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Answer : 3. "810 acres"
Explanation :
Answer: C) 810 acres Explanation: 12 men120 acres36 days54 men?54 days As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped. Thus, the numbers of acres that can be reaped by 54 men in 54 days = 5412x120x5436 = 810 acres