IIT JEE Practice Question and Answer
8Q: Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ? 2756 05b5cc6f1e4d2b4197774ef44
5b5cc6f1e4d2b4197774ef44- 1Rs. 17.80false
- 2Rs. 16.30true
- 3Rs. 14false
- 4Rs. 15.40false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "Rs. 16.30"
Explanation :
Answer: B) Rs. 16.30 Explanation: C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630. S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819. S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
Q: How many lines of symmetry does a Pentagon have? 2755 05b5cc6b2e4d2b4197774d36e
5b5cc6b2e4d2b4197774d36e- 14false
- 25true
- 36false
- 40false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "5"
Explanation :
Answer: B) 5 Explanation: A regular Pentagon have 5 sides and 5 lines of symmetry. The number of lines of symmetry in a regular polygon is equal to the number of sides.
Q: If selling price is doubled, the profit triples. Find the profit percent ? 2755 05b5cc723e4d2b4197774f6af
5b5cc723e4d2b4197774f6af- 1100%true
- 2200%false
- 3300%false
- 4400%false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "100%"
Explanation :
Answer: A) 100% Explanation: Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x-100)Now the S.P is doubled, then the new S.P is 2xNew profit is (2x-100)Now as per the given condition; => 3(x-100) = 2x-100By solving, we get x = 200Then the Profit percent = (200-100)/100 = 100Hence the profit percentage is 100%
Q: The two forms of democracy are 2754 05b5cc6a5e4d2b4197774ccff
5b5cc6a5e4d2b4197774ccff- 1Parliamentary and Kingfalse
- 2Monarchical and Republicanfalse
- 3Direct and Indirectfalse
- 4Parliamentary and Presidentialtrue
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 4. "Parliamentary and Presidential"
Explanation :
Answer: D) Parliamentary and Presidential Explanation: There are two major forms of democratic government. I. ParliamentaryII. Presidential The citizens elect the leaders in democratic government. The main difference is legislative and executive branches. Executive - head of governmentLegislative - how laws are made I. Parliamentary democratic government : (example - United Kingdom ) 1. Parliament = Legislature (Laws)2. Parliament controls the power3. Head of government is a prime minister chosen by the legislature4. Prime minister and cabinet are members of the legislature5. Prime minister answers to the legislature (fusion of powers)6. The government will stay in office for a specified period unless the prime minister loses support of the majority on an important vote.7. If this occurs- the P.M. must resign and elections are held immediately. II. Presidential democratic government : (example - United States of America) 1. The executive and legislative branches are separate bodies elected independently by the citizens.2. Separation of Powers3. There are checks and balances where each branch can overrule the other.4. The president answers to the voters, not the legislature.5. The people elect the president, and elections are held at set intervals.
Q: Which of the following statements about financial aid are true? 2751 05b5cc619e4d2b4197774b72f
5b5cc619e4d2b4197774b72f- 1Financial aid is available to community college students.true
- 2Most high school varsity sports team members will receive an athletic scholarship.false
- 3Elite, private colleges don't offer financial aid packages.false
- 4Only children of unemployed parents can't qualify for financial aid.false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 1. "Financial aid is available to community college students."
Explanation :
Answer: A) Financial aid is available to community college students. Explanation:
Q: Rajesh rows in still water with a speed of 4.5 kmph to go to a certain place and comes back. Find his average speed for the whole journey, if the river is flowing with a speed of 1.5 kmph? 2750 05b5cc67ee4d2b4197774c245
5b5cc67ee4d2b4197774c245- 12 kmphfalse
- 24 kmphtrue
- 36 kmphfalse
- 48 kmphfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "4 kmph"
Explanation :
Answer: B) 4 kmph Explanation: Let the distance in one direction = k kms Speed in still water = 4.5 kmph Speed of river = 1.5 Hence, speed in upstream = 4.5 - 1.5 = 3 kmph Speed in downstream = 4.5 + 1.5 = 6 kmph Time taken by Rajesh to row upwards = k/3 hrs Time taken by Rajesh to row downwards = k/6 hrs Now, required Average speed =Total distanceTotal speed = 2kk3 + k6 = 2k x 186k + 3k = 4 kmph Therefore, the average speed of the whole journey = 4kmph.
Q: How many 6-digit even numbers can be formed from the digits 1, 2, 3, 4, 5, 6 and 7 so that the digits should not repeat and the second last digit is even ? 2750 05b5cc731e4d2b4197774f7bf
5b5cc731e4d2b4197774f7bf- 1521false
- 2720true
- 3420false
- 4225false
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 2. "720"
Explanation :
Answer: B) 720 Explanation: Let last digit is 2when second last digit is 4 remaining 4 digits can be filled in 120 ways, similarly second last digit is 6 remained 4 digits can be filled in 120 ways.so for last digit = 2, total numbers=240 Similarly for 4 and 6When last digit = 4, total no. of ways =240and last digit = 6, total no. of ways =240so total of 720 even numbers are possible.
Q: The absorption of ink by blotting paper involves 2748 05b5cc6a2e4d2b4197774cb7f
5b5cc6a2e4d2b4197774cb7f- 1viscosity of inkfalse
- 2diffusion of ink through the blottingfalse
- 3capillary action phenomenontrue
- 4siphon actionfalse
- Show AnswerHide Answer
- Workspace
- SingleChoice
Answer : 3. "capillary action phenomenon"
Explanation :
Answer: C) capillary action phenomenon Explanation: The absorption of ink by blotting paper involves capillary action phenomenon because the blotting paper is a thin and a smooth paper which allows a little thicker liquids like ink to absorb.

