IIT JEE Practice Question and Answer
8Q: A man traveled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village ? 1637 05b5cc74ae4d2b4197774facc
5b5cc74ae4d2b4197774facc- 140 kmfalse
- 230 kmfalse
- 320 kmtrue
- 410 kmfalse
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Answer : 3. "20 km"
Explanation :
Answer: C) 20 km Explanation: Average speed = 2aba+b, here a=25 b=4 = 2 x 25 x 4/(25+4) = 200/29 km/hr. Distance covered in 5 hours 48 minutes = Speed x time = (200/29)x (29/5) Distance covered in 5 hours 48 minutes = 40kms. Distance of the post office from the village = (40/2) = 20 km.
Q: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ? 1771 05b5cc74ae4d2b4197774fad1
5b5cc74ae4d2b4197774fad1- 11 : 2 : 3false
- 22 : 3 : 4true
- 33: 4 : 5false
- 44 : 5 : 6false
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Answer : 2. "2 : 3 : 4"
Explanation :
Answer: B) 2 : 3 : 4 Explanation: Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x. There is a proposal to increase these seats by 40%, 50% and 75% respectively. Then Seats for Mathematics, Physics and Biology in a school will be 1.4 X 5x, 1.5 X 7x and 1.75 X 8x and ratio will be 7 : 10.5 : 14 => 2:3:4.
Q: The average number of visitors of a library in the first 4 days of a week was 58. The average for the 2nd, 3rd, 4th and 5th days was 60.If the number of visitors on the 1st and 5th days were in the ratio 8 : 9. Then what is the number of visitors on the 5th day of the library ? 2902 05b5cc74ae4d2b4197774fac7
5b5cc74ae4d2b4197774fac7- 154false
- 264false
- 368false
- 472true
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Answer : 4. "72"
Explanation :
Answer: D) 72 Explanation: If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, thenk + l + m + n = 58 x 4 = 232 ---- (i) & l + m + n + o = 60 x 4 = 240 ---- (ii)Subtracting (i) from (ii), we get o-k = 8 ---(iii)Given, k/o = 8/9 ----(iv)So from (iii) & (iv), we geta = 64, e = 72Therefore, number of visitors on 5th day is 72.
Q: If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ? 2442 15b5cc74ae4d2b4197774fabd
5b5cc74ae4d2b4197774fabd- 1Rs. 175false
- 2Rs. 325false
- 3Rs. 340true
- 4Rs. 260false
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Answer : 3. "Rs. 340"
Explanation :
Answer: C) Rs. 340 Explanation: Assume first child (the youngest) get = Rs. x According to the question ;each son having Rs. 30 more than the younger one Second child will get = Rs. x + 30 Third child will get = Rs. x + 30 + 30 = x + 60 Forth child will get = Rs. x + 30 + 30 + 30 = x + 90 Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120 Total amount they got = Rs. 2000 x + (x+30) + (x+60) + (x+90) + (x+120) = 20005x + 300 = 20005x = 1700x = Rs. 340So the youngest child will get Rs. 340.
Q: A constructor estimates that 4 people can paint Mr. Karthik's house in 6 days. If he uses 5 people instead of 4, how long will they take to complete the job ? 2136 05b5cc74ae4d2b4197774fac2
5b5cc74ae4d2b4197774fac2- 13 daysfalse
- 226/3 daysfalse
- 313/4 daysfalse
- 424/5 daystrue
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Answer : 4. "24/5 days"
Explanation :
Answer: D) 24/5 days Explanation: we know that m1 x d1 = m2 x d2=> 4 x 6 = 5 x dwhere d = no. of days taken by 5 men to paintd = 24/5 days.
Q: What is the next number of the following sequence ? 21, 77, 165, 285, ...... 2340 05b5cc74ae4d2b4197774fab8
5b5cc74ae4d2b4197774fab8- 1404false
- 2415false
- 3426false
- 4437true
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Answer : 4. "437"
Explanation :
Answer: D) 437 Explanation: The series follow the rule, 21 = 77 = 92-4165 = 132-4285 = 172-4 5,9,13,17,21,(+4)...In the same way next no. will be 212-4 = 441 - 4 = 437
Q: A student can divide her books into groups of 5, 9 and 13. what is the smallest possible number of the books ? 2005 05b5cc74ae4d2b4197774fab3
5b5cc74ae4d2b4197774fab3- 1487false
- 2585true
- 3635false
- 4705false
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Answer : 2. "585"
Explanation :
Answer: B) 585 Explanation: The smallest possible number of books = L.C.M of 5, 9 and 13.Therefore, L.C.M of 5,9 and 13 is = 5 x 9 x 13 = 585.
Q: The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers ? 1645 05b5cc74ae4d2b4197774faae
5b5cc74ae4d2b4197774faae- 1p timesfalse
- 22p timesfalse
- 3(p + 4) timestrue
- 4(2p + 3) timesfalse
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Answer : 3. "(p + 4) times"
Explanation :
Answer: C) (p + 4) times Explanation: Let the two no's be a and b;Given product of the no's is p = ab;If the each nos is increased by 2 then the new product will be (a+2)(b+2) = ab + 2a + 2b + 4= ab + 2(a+b) + 4= p + 2(a+b) + 4Hence the new product is (p+4) times greater than twice the sum of the two original numbers.