IIT JEE Practice Question and Answer
8Q: Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ? 1465 05b5cc6dae4d2b4197774e899
5b5cc6dae4d2b4197774e899- 120 kmphfalse
- 218 kmphfalse
- 312 kmphtrue
- 416 kmphfalse
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Answer : 3. "12 kmph"
Explanation :
Answer: C) 12 kmph Explanation: Let the distance traveled be x km.Then, x/10 - x/15 = 23x - 2x = 60 => x = 60 km.Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.Required speed = 60/5 = 12 kmph.
Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is ? 1465 05b5cc6dae4d2b4197774e8a5
5b5cc6dae4d2b4197774e8a5- 145 kmphfalse
- 225 kmphfalse
- 330 kmphfalse
- 450 kmphtrue
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Answer : 4. "50 kmph"
Explanation :
Answer: D) 50 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'S' km/hr. Then, relative speed = (S - 5) km/hr. S - 5 = 45 => S = 50 km/hr.
Q: I make things short but I am pretty long myself. WHAT AM I? 1465 05b5cc678e4d2b4197774c1a7
5b5cc678e4d2b4197774c1a7- Show AnswerHide Answer
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Answer :
Explanation :
I am ABBREVIATION. Yes, i make things short and asks the full form of that thing. Ex : FCI - Food Corporation of India IAS - Indian Administrative Service.
Q: The yield to maturity on a discount bond is 1465 05b5cc65ee4d2b4197774be25
5b5cc65ee4d2b4197774be25- 1equal to both the coupon rate / current yeildtrue
- 2less than the current yeild but greater than the coupon ratefalse
- 3greater than both the coupon rate / current yeildfalse
- 4equal to the current yeild but greater than the coupon ratefalse
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Answer : 1. "equal to both the coupon rate / current yeild"
Explanation :
Answer: A) equal to both the coupon rate / current yeild Explanation: Yield to maturity is a concept for fixed rate bonds and is the internal rate of return i.e. the rate at which future flows are discounted on a compound basis to give the present value of the bond including accrued interest.
Q: As per "Swachh Survekshan 2017" records India's cleanest city is ? 1464 05b5cc6e2e4d2b4197774ec66
5b5cc6e2e4d2b4197774ec66- 1Hyderabdfalse
- 2Tirupathifalse
- 3Indoretrue
- 4Bangalorefalse
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Answer : 3. "Indore"
Explanation :
Answer: C) Indore Explanation: i. The 'Swachh Survekshan 2017' survey results were recently announced by Urban Development Minister M Venkaiah Naidu. The total 434 cities of India were surveyed. Indore in Madhya Pradesh is India’s cleanest city while Gonda in Uttar Pradesh is the dirtiest. ii. Gujarat has the maximum of 12 cities among the top 50 clean cities, closely followed by Madhya Pradesh with 11 and Andhra Pradesh with eight. Uttar Pradesh accounted for half of the bottom 50 cities in the cleanliness ranking. Top 10 clean cities of India in 2017 are: Indore (MP)Bhopal (MP)Visakhapatnam (Andhra Pradesh)Surat (Gujarat)Mysuru (Karnataka)Tiruchirapally (Tamil Nadu)New Delhi Municipal Council (New Delhi)Navi Mumbai (Mumbai)Tirupati (Andhra Pradesh)Vadodara (Gujarat). Top 5 Dirtiest cities of India (with Rank) in 2017 are: Gonda (UP)- 434,Bhusawal (Maharashtra)- 433,Bagaha (Bihar)- 432,Hardoi (Uttarakhand)- 431,Katihar (Bihar)- 430.
Q: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1464 05b5cc754e4d2b4197774fb9f
5b5cc754e4d2b4197774fb9f- 130,400true
- 230,200false
- 334,600false
- 438,400false
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Answer : 1. "30,400"
Explanation :
Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,.... We know the sum of n terms nn+12 Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.
Q: How many black cards are in a deck? 1463 05b5cc6a4e4d2b4197774cc62
5b5cc6a4e4d2b4197774cc62- 113false
- 226true
- 339false
- 452false
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Answer : 2. "26"
Explanation :
Answer: B) 26 Explanation: The total cards in the deck are 52. These 52 cards are divided into 4 suits of 13 cards in each suit. Two Red suits and Two black suits. Red suits :: Heart suit and Diamond suit = 26 Black suits :: Spade suit and Club suit = 26.
Q: A card is drawn from a pack of 52 cards. The probability of getting a queen of the club or a king of the heart is? 1463 05b5cc6bde4d2b4197774d94c
5b5cc6bde4d2b4197774d94c- 11/26true
- 21/13false
- 32/13false
- 41/52false
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Answer : 1. "1/26"
Explanation :
Answer: A) 1/26 Explanation: Here in this pack of cards, n(S) = 52 Let E = event of getting a queen of the club or a king of the heart Then, n(E) = 2 P(E) = n(E)/n(S) = 2/52 = 1/26

