IIT JEE Practice Question and Answer
8Q: If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ? 2167 05b5cc6d9e4d2b4197774e802
5b5cc6d9e4d2b4197774e802- 140 kmstrue
- 230 kmsfalse
- 346 kmsfalse
- 432 kmsfalse
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Answer : 1. "40 kms"
Explanation :
Answer: A) 40 kms Explanation: Let the actual distance travelled be x km. Then x/8=(x+20)/12 => 12x = 8x + 160=> 4x = 160=> x = 40 km.
Q: The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 12%, then the cost price of the article is : 2167 05b5cc6e7e4d2b4197774ed88
5b5cc6e7e4d2b4197774ed88- 1Rs. 560false
- 2Rs. 530false
- 3Rs. 500true
- 4Rs. 514false
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Answer : 3. "Rs. 500"
Explanation :
Answer: C) Rs. 500 Explanation: 110% of S.P. = Rs. 616 S.P. = (616 x 100)/110 = Rs. 560 C.P = (110 x 560)/112 = Rs. 500
Q: Find the odd man out of the following number series? 22, 26, 42, 78, 142, 244 2167 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: A relationship can be damaged by 2165 05b5cc615e4d2b4197774b6a9
5b5cc615e4d2b4197774b6a9- 1no trustfalse
- 2not meeting expectationsfalse
- 3people not spending time with one anotherfalse
- 4All of the abovetrue
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Answer : 4. "All of the above"
Explanation :
Answer: D) All of the above Explanation: Any of the above given options can be a reason for the damage of the relationship of a couple or a two families or two friends etc... Without trust relationship cannot be maintained, people not spending time with one another or without meeting the expectations of the opponents can also damage the relationship.
Q: If price of rice increased by 25%, so that a man is can able to purchase 5 kg less rice in Rs. 500. Find the original price of rice per kg ? 2163 05b5cc6c3e4d2b4197774dc31
5b5cc6c3e4d2b4197774dc31- 1Rs. 20true
- 2Rs. 24false
- 3Rs. 26false
- 4Rs. 29false
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Answer : 1. "Rs. 20"
Explanation :
Answer: A) Rs. 20 Explanation: Let the original price of rice be Rs. x Let rice a man can buy for Rs. 500 at rs. x/kg be = R kgs From given data, for Rs. 500 x ---- R kgs (x + 25x/100) ---- (R - 5) kgs => Rx = (R - 5)(x + 25x/100) => Rx = (R - 5)(125x/100) => 100Rx = 125Rx - 625x => R = 25 So at rate of Rs. x/kg, man get 25 kgs for Rs. 500 => x = 500/25 = Rs. 20
Q: Which of the following Valleys is known as "Paradise of Earth" ? 2163 05b5cc6d5e4d2b4197774e5ed
5b5cc6d5e4d2b4197774e5ed- 1Kullu Valleyfalse
- 2Doon Valleyfalse
- 3Kangra Valleyfalse
- 4Kashmir Valleytrue
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Answer : 4. "Kashmir Valley"
Explanation :
Answer: D) Kashmir Valley Explanation:
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 ? 2163 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
Q: In a Plane there are 37 straight lines, of which 13 pass through the point A and 11 pass through the point B. Besides, no three lines pass through one point, no lines passes through both points A and B , and no two are parallel. Find the number of points of intersection of the straight lines. 2162 05b5cc7d1e4d2b41977751281
5b5cc7d1e4d2b41977751281- 1525false
- 2535true
- 3545false
- 4555false
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Answer : 2. "535"
Explanation :
Answer: B) 535 Explanation: The number of points of intersection of 37 lines is C237. But 13 straight lines out of the given 37 straight lines pass through the same point A. Therefore instead of getting C213 points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting C211 points, we get only one point B. Hence the number of intersection points of the lines is C237-C213-C211 +2 = 535

