IIT JEE Practice Question and Answer
8Q: How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together ? 2356 05b5cc6e5e4d2b4197774ed01
5b5cc6e5e4d2b4197774ed01- 17false
- 29true
- 311false
- 45false
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Answer : 2. "9"
Explanation :
Answer: B) 9 Explanation: LCM of 2, 3, 7 is 42. => (700 – 300)/42 = 9 22/42 => 9 Numbers.
Q: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 6483 05b5cc6e5e4d2b4197774ecfc
5b5cc6e5e4d2b4197774ecfc- 16false
- 29false
- 35false
- 47true
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Answer : 4. "7"
Explanation :
Answer: D) 7 Explanation: Let 1 woman's 1 day work = x. Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4. So, (3x/2 + 4x + + 6x/4) = 1/7 28x/4 = 1/7 => x = 1/49 1 woman alone can complete the work in 49 days. So, to complete the work in 7 days, number of women required = 49/7 = 7.
Q: Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ? 38072 15b5cc6e5e4d2b4197774ecf7
5b5cc6e5e4d2b4197774ecf7- 18.21 minfalse
- 28 minfalse
- 38.57 mintrue
- 48.49 minfalse
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Answer : 3. "8.57 min"
Explanation :
Answer: C) 8.57 min Explanation: 1/10 + 1/15 = 1/6 x 3 = 1/2 1 - 1/2 = 1/2 1/10 + 1/15 - 1/x = 1/2 x = 8.57 min
Q: Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ? 5655 05b5cc6e5e4d2b4197774ecf2
5b5cc6e5e4d2b4197774ecf2- 127 sectrue
- 231 secfalse
- 323 secfalse
- 429 secfalse
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Answer : 1. "27 sec"
Explanation :
Answer: A) 27 sec Explanation: Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300x 18 / 40 x 5 = 27 seconds.
Q: I. a2-7a+12 = 0, II. b2-3b+2 = 0 Solve both the equations to find the values of a and b ? 2622 05b5cc6e3e4d2b4197774eced
5b5cc6e3e4d2b4197774eced- 1if a > btrue
- 2if a < bfalse
- 3if the relationship between a and b cannot be established.false
- 4if a ≤ bfalse
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Answer : 1. "if a > b"
Explanation :
Answer: A) if a > b Explanation: I. (a - 3)(a - 4) = 0 => a = 3, 4 II. (b - 2)(b - 1) = 0 => b = 1, 2 => a > b
Q: Which state announced the shift of financial year from March - April to Jan - December ? 1492 05b5cc6e3e4d2b4197774ece3
5b5cc6e3e4d2b4197774ece3- 1Assamfalse
- 2Goafalse
- 3Keralafalse
- 4Madhya Pradeshtrue
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Answer : 4. "Madhya Pradesh"
Explanation :
Answer: D) Madhya Pradesh Explanation:
Q: Who got the ‘Transformative Chief Minister Award’ in USIBC in 2017 ? 1579 05b5cc6e3e4d2b4197774ece8
5b5cc6e3e4d2b4197774ece8- 1Mr. Vijay Singhfalse
- 2Mr. Suresh Babufalse
- 3Mr.Chandrababu Naidutrue
- 4Mr. Achuathananfalse
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Answer : 3. "Mr.Chandrababu Naidu"
Explanation :
Answer: C) Mr.Chandrababu Naidu Explanation: Andhra Pradesh Chief Minister Chandrababu Naidu has been selected for the 'Transformative Chief Minister Award 2017' in recognition for his role in advancing the US-India partnership at the state level. ii. The award by the US-India Business Council (USIBC) would be presented to Mr. Naidu during the USIBC West Coast Summit in Bengaluru (the Silicon Valley) on May 8. iii. Last year’s recipient of this award was Amitabh Kant, CEO of Niti Aayog.
Q: Which is first city in the world to get its own Microsoft font in 2017 ? 1309 05b5cc6e3e4d2b4197774ecde
5b5cc6e3e4d2b4197774ecde- 1Indiafalse
- 2Iranfalse
- 3Dubaitrue
- 4Iraqfalse
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Answer : 3. "Dubai"
Explanation :
Answer: C) Dubai Explanation: Dubai has become the first city in the world to get its own Microsoft font. ii. Sheikh Hamdan bin Mohammed bin Rashid Al Maktoum, Dubai's Crown Prince and Chairman of the Executive Council, launched the Dubai Font recently. iii. The font, available in three styles as 'Dubai', 'Dubai Medium' and 'Dubai Light', can be in italics, underlined and bold.