IIT JEE Practice Question and Answer
8Q: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in ? 2925 05b5cc728e4d2b4197774f714
5b5cc728e4d2b4197774f714- 117 + 4/7 daysfalse
- 213 + 1/3 daystrue
- 315 + 3/2 daysfalse
- 416 daysfalse
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Answer : 2. "13 + 1/3 days"
Explanation :
Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.
Q: Evaluate : 3.392-2.6123.39-2.69? 1104 05b5cc728e4d2b4197774f700
5b5cc728e4d2b4197774f700- 13false
- 24false
- 36true
- 41false
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Answer : 3. "6"
Explanation :
Answer: C) 6 Explanation: It is in the form of a2-b2a-b = a+ba-ba-b = a+b Here a = 3.39 b = 2.61 = 3.39 + 2.61 = 6.
Q: One New York publisher has estimated that 50,000 to 60,000 people in the United States want an anthology that includes the complete works of William Shakespeare. And what accounts for this renewed interest in Shakespeare? As scholars point out, his psychological insights into both male and female characters are amazing even today. This paragraph best supports the statement thatA. Shakespeare's characters are more interesting than fictional characters today.B. people even today are interested in Shakespeare's work because of the characters.C. academic scholars are putting together an anthology of Shakespeare's work.D. New Yorkers have a renewed interested in the work of Shakespeare.E. Shakespeare was a psychiatrist as well as a playwright. 2244 05b5cc728e4d2b4197774f6fb
5b5cc728e4d2b4197774f6fb- 1Afalse
- 2Btrue
- 3Cfalse
- 4Dfalse
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Answer : 2. "B"
Explanation :
Answer: B) B Explanation: The last sentence in the paragraph clearly gives support for the idea that the interest in Shakespeare is due to the development of his characters. Choice a is incorrect because the writer never makes this type of comparison. Choice c is wrong because even though scholars are mentioned in the paragraph, there is no indication that the scholars are compiling the anthology. Choice d is wrong because there is no support to show that most New Yorkers are interested in this work. There is no support for choice e either.
Q: The largest 4 digit number exactly divisible by 88 is ? 1482 05b5cc728e4d2b4197774f6d2
5b5cc728e4d2b4197774f6d2- 19944true
- 29768false
- 38888false
- 49988false
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Answer : 1. "9944"
Explanation :
Answer: A) 9944 Explanation: The largest 4 digit number is = 9999After dividing 9999 with 88, we get 55 as remainderso largest 4 digit number divisible by 88 = 9999-55 = 9944.
Q: If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to ? 1875 05b5cc728e4d2b4197774f6c8
5b5cc728e4d2b4197774f6c8- 113/125false
- 214/57false
- 311/120true
- 416/41false
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Answer : 3. "11/120"
Explanation :
Answer: C) 11/120 Explanation: Let the numbers be a and b.We know that product of two numbers = Product of their HCF and LCMThen, a + b = 55 and ab = 5 x 120 = 600.=> The required sum = (1/a) + (1/b) = (a+b)/ab=55/600 = 11/120
Q: Last year vivek saved 10% of his annual earnings, this year he earned 5% more than last year and he saved 12% of his annual earnings. The amount saved this year was what percentage of the amount saved last year ? 1393 05b5cc723e4d2b4197774f6c3
5b5cc723e4d2b4197774f6c3- 187%false
- 298%false
- 3138%false
- 4126%true
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Answer : 4. "126%"
Explanation :
Answer: D) 126% Explanation: Suppose total earnings = Rs. 1000010% saving = 10000 x (10/100) = Rs. 1000This year 5% more income than prev year = Rs. 1050012% saving = 10500 x (12/100) = Rs. 1260Percentage of amount saved = (1260/1000) x 100 = 126%
Q: 'Minamata' disease was caused by ? 1051 05b5cc723e4d2b4197774f6b4
5b5cc723e4d2b4197774f6b4- 1Leadfalse
- 2Mercurytrue
- 3Cadmiumfalse
- 4Zincfalse
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Answer : 2. "Mercury"
Explanation :
Answer: B) Mercury Explanation:
Q: If selling price is doubled, the profit triples. Find the profit percent ? 1653 05b5cc723e4d2b4197774f6af
5b5cc723e4d2b4197774f6af- 1100%true
- 2200%false
- 3300%false
- 4400%false
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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%