IIT JEE Practice Question and Answer
8Q: K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ? 3071 15b5cc6f8e4d2b4197774f081
5b5cc6f8e4d2b4197774f081- 1120 daysfalse
- 2119 daysfalse
- 3118 daysfalse
- 4117 daystrue
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Answer : 4. "117 days"
Explanation :
Answer: D) 117 days Explanation: K's work in a day(1st day) = 1/30L's work in a day(2nd day)= -1/60(demolishing)hence in 2 days, combined work= 1/30 - 1/60 =1/60since both works alternatively, K will work in odd days and L will work in even days.1/60 unit work is done in 2 days58/60 unit work will be done in 2 x 58 days = 116 daysRemaining work = 1-58/60 = 1/30Next day, it will be K's turn and K will finish the remaining 1/30 work.hence total days = 116 + 1 = 117.
Q: The sum of the two digits of a number is 8. If the number is subtracted from the number obtained by reversing its digits, the result is 54. Find the number ? 1176 05b5cc6f8e4d2b4197774f072
5b5cc6f8e4d2b4197774f072- 128false
- 219false
- 337false
- 417true
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Answer : 4. "17"
Explanation :
Answer: D) 17 Explanation: Any two digit number can be written as (10P + Q), where P is the digit in the tens place and Q is the digit in the units place.P + Q = 8 ----- (1)(10Q + P) - (10P + Q) = 549(Q - P) = 54(Q - P) = 6 ----- (2)Solve (1) and (2) P = 1 and Q = 7The required number is = 17
Q: Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ? 1823 05b5cc6f8e4d2b4197774f06d
5b5cc6f8e4d2b4197774f06d- 184 yrsfalse
- 296 yrsfalse
- 3116 yrsfalse
- 4108 yrstrue
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Answer : 4. "108 yrs"
Explanation :
Answer: D) 108 yrs Explanation: Let the present ages of the mother and daughter be 2x and x years respectively. Then, (2x - 18) = 3(x - 18) => x = 36 Required sum = (2x + x) = 108 years.
Q: In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. If there be 50 persons in the queue. What position does Mamta occupy from the front ? 3306 05b5cc6f8e4d2b4197774f068
5b5cc6f8e4d2b4197774f068- 114thfalse
- 216thfalse
- 318thtrue
- 420thfalse
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Answer : 3. "18th"
Explanation :
Answer: C) 18th Explanation: Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15. Since Mamta lies in middle of these 15 persons, so Mamta`s position is 8th from Amrita i.e. 18th from the front.
Q: If L exceeds K by 30%, then K is less than L by ? 1516 05b5cc6f8e4d2b4197774f05e
5b5cc6f8e4d2b4197774f05e- 114 2/5 %false
- 223 1/3 %true
- 320 %false
- 416 %false
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Answer : 2. "23 1/3 %"
Explanation :
Answer: B) 23 1/3 % Explanation: K = 100 L = 130130------ 30100------- ? => 23 1/13 %
Q: If every seconds Saturday and all Sundays are holidays in a 30 days month beginning on Saturday, then how many working days are there in that month ? (Month starts from Saturday) 1464 05b5cc6f8e4d2b4197774f054
5b5cc6f8e4d2b4197774f054- 125false
- 222false
- 324false
- 423true
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Answer : 4. "23"
Explanation :
Answer: D) 23 Explanation: As month begins on Saturday, so 2nd, 9th, 16th, 23rd, 30th days will be Sundays. While 8th and 22nd days are second Saturdays. Thus, there are 7 holidays in all. Hence, no. of working days = 30 – 7 =23
Q: The world's tallest twisted tower is ? 1291 05b5cc6f8e4d2b4197774f04a
5b5cc6f8e4d2b4197774f04a- 1Tokyo Sky Treefalse
- 2BREN Towerfalse
- 3Burj Khalifafalse
- 4Infinity Towertrue
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Answer : 4. "Infinity Tower"
Explanation :
Answer: D) Infinity Tower Explanation: The world's tallest twisted tower, the Infinity Tower was launched in Dubai Marina on 10 June 2013.
Q: India Wins Freedom is the autobiography of ? 1799 15b5cc6f8e4d2b4197774f040
5b5cc6f8e4d2b4197774f040- 1Abul Kalam Azadtrue
- 2L.K Adwanifalse
- 3Rajendra Prasadfalse
- 4Shubash Chandra Bosefalse
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Answer : 1. "Abul Kalam Azad"
Explanation :
Answer: A) Abul Kalam Azad Explanation: India Wins Freedom is the autobiography of Abul Kalam Azad.