IIT JEE Practice Question and Answer
8Q: What will come in place of question mark(?) in the following number series ? 6859 5832 ? 4096 3375 3012 05b5cc6c0e4d2b4197774db1e
5b5cc6c0e4d2b4197774db1e- 14589false
- 24913true
- 35013false
- 45169false
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Answer : 2. "4913"
Explanation :
Answer: B) 4913 Explanation: The given series follows a pattern that, 19 x 19 x 19 = 6859 18 x 18 x 18 = 5832 17 x 17 x 17 = 4913 16 x 16 x 16 = 4096 15 x 15 x 15 = 3375 So, the missing number in the given series = 4913
Q: Which country have declared 2020 'Unique Year for Space Sector' ? 1445 05b5cc6c0e4d2b4197774db23
5b5cc6c0e4d2b4197774db23- 1United Arab Emiratestrue
- 2Englandfalse
- 3USAfalse
- 4Indiafalse
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Answer : 1. "United Arab Emirates"
Explanation :
Answer: A) United Arab Emirates Explanation:
Q: Which country has been ranked number one in pollution related deaths ? 1353 05b5cc6c0e4d2b4197774db19
5b5cc6c0e4d2b4197774db19- 1Australiafalse
- 2Indonesiafalse
- 3Indiatrue
- 4Japanfalse
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Answer : 3. "India"
Explanation :
Answer: C) India Explanation:
Q: A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will A and B together can complete that work ? 1471 05b5cc6c0e4d2b4197774db14
5b5cc6c0e4d2b4197774db14- 136false
- 240true
- 342false
- 438false
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Answer : 2. "40"
Explanation :
Answer: B) 40 Explanation: Remaining work = 1 - 9/10 = 1/10 => A & B together completes 1/10 of work in 4 days => 1 work can completed in ------ ? days Let it be x days => 4110=x1 => x = 40 days. Hence, A & B together can complete the work in 40 days.
Q: The area of a square is equal to the area of a rectangle. The length of the rectangle is 5 cm more than a side of the square and its breadth is 3 cm less than the side of the square. What is the perimeter of the rectangle ? 1246 05b5cc6c0e4d2b4197774db0f
5b5cc6c0e4d2b4197774db0f- 115 cmfalse
- 218 cmfalse
- 334 cmtrue
- 426 cmfalse
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Answer : 3. "34 cm"
Explanation :
Answer: C) 34 cm Explanation: Let the side of the square be 's' cm length of rectangle = (s+5) cm breadth of rectangle = (s-3)cm (s+5) (s-3) = s2 - 5s - 3s - 15 = s2 2s = 15 Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2) = 2(15 + 2) = 34 cm
Q: Ramesh spent Rs. 38460 on the renovation of his home, Rs. 24468 on buying furniture and remaining 28% of the total amount he had as cash with him. What was the total amount ? 1717 05b5cc6c0e4d2b4197774db00
5b5cc6c0e4d2b4197774db00- 187400true
- 292520false
- 388470false
- 490150false
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Answer : 1. "87400"
Explanation :
Answer: A) 87400 Explanation: Let X be the total amount with Ramesh Given 28% of X = Cash remaining => Amount spent = 72% of X = 38460 + 24468 = 62928 => 72% of X = 62928 => X = ? => X = 87400
Q: P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ? 3428 05b5cc6c0e4d2b4197774db05
5b5cc6c0e4d2b4197774db05- 156 daysfalse
- 254 daysfalse
- 360 daysfalse
- 464 daystrue
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Answer : 4. "64 days"
Explanation :
Answer: D) 64 days Explanation: (P+Q)'s 1 day work = 1/24 P's 1 day work = 1/32 => Q's 1 day work = 1/24 - 1/32 = 1/96 Work done by (P+Q) in 8 days = 8/24 = 1/3 Remainining work = 1 - 1/3 = 2/3 Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.
Q: Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ? 2935 05b5cc6c0e4d2b4197774dafb
5b5cc6c0e4d2b4197774dafb- 19 hrsfalse
- 27 hrstrue
- 313 hrsfalse
- 411 hrsfalse
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Answer : 2. "7 hrs"
Explanation :
Answer: B) 7 hrs Explanation: Given, P can fill in 12 hrs Q can fill in 15 hrs R can fill in 20 hrs => Volume of tank = LCM of 12, 15, 20 = 60 lit => P alone can fill the tank in 60/12 = 5 hrs => Q alone can fill the tank in 60/15 = 4 hrs => R alone can fill the tank in 60/20 = 3 hrs Tank can be filled in the way that (P+Q) + (P+R) + (P+Q) + (P+R) + .... => Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit => In 6 hrs = 17 x 6/2 = 51 lit => In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit => So, total tank will be filled in 7 hrs.