IIT JEE Practice Question and Answer

Q: A number when subtracted by 1/7 th of itself gives the same value as the sum of all the angles of a triangle. What is the number? 2299 0

  • 1
    420
    Correct
    Wrong
  • 2
    210
    Correct
    Wrong
  • 3
    70
    Correct
    Wrong
  • 4
    35
    Correct
    Wrong
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Answer : 2. "210"
Explanation :

Answer: B) 210 Explanation: Let the required number be 'p' We know, sum of angles in a triangle are 180 deg According to given data, p - p/7 = 180 7p - p = 180 x 7 => 6p = 1260 => p = 1260/6 = 210

Q: Statements : All keys are locks. All locks are bangles. All bangles are cars. Conclusion : a. Some cars are locks.                    b. Some bangles are keys.                    c. Some cars are keys. 2299 0

  • 1
    Only a follows
    Correct
    Wrong
  • 2
    Only c follows
    Correct
    Wrong
  • 3
    Only a & b follows
    Correct
    Wrong
  • 4
    a, b & c follows
    Correct
    Wrong
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Answer : 4. "a, b & c follows"
Explanation :

Answer: D) a, b & c follows Explanation: All locks are bangles + All bangles are cars = A + A = A= All locks are cars => Some cars are locks.Hence conclusion (a) follows.All keys are locks + All locks are bangles = A + A = A= All keys are bangles => some bangles are keys.Hence conclusion (b) follows.All keys are bangles + All bangles are cars = A + A = A= All keys are cars => Some cars are keys.Hence conclusion (C) follows. Thus all a, b and c follows.

Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2298 0

  • 1
    70 lit
    Correct
    Wrong
  • 2
    170 lit
    Correct
    Wrong
  • 3
    90 lit
    Correct
    Wrong
  • 4
    190 lit
    Correct
    Wrong
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Answer : 2. "170 lit"
Explanation :

Answer: B) 170 lit Explanation: Given A alone can fill the tank of capacity 240 lit in 16 hrs. => A can fill in 1 hr = 240/16 = 15 lit => B alone can fill the tank of capacity 240 lit in 12 hrs. => B can fill in 1 hr = 240/12 = 20 lit Now, (A + B) in 1 hr = 15 + 20 = 35 lit But they are opened for 2 hrs => 2 x 35 = 70 lit rae filled Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.

Q: A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs): 2298 0

  • 1
    200, 250, 300
    Correct
    Wrong
  • 2
    300, 200, 250
    Correct
    Wrong
  • 3
    200, 300, 400
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "300, 200, 250"
Explanation :

Answer: B) 300, 200, 250 Explanation: A's 5 days work = 50%   B's 5 days work = 33.33%  C's 2 days work = 16.66%     [100- (50+33.33)]  Ratio of contribution of work of A, B and C = 50 : 3313 : 1623 = 3 : 2 : 1    A's total share = Rs. 1500  B's total share = Rs. 1000  C's total share = Rs. 500     A's one day's earning = Rs.300   B's one day's earning = Rs.200   C's one day's earning = Rs.250

Q: X can complete the work in 10 days, Y can do the same in 15 days. If they are hired for 5 days to do the work together, what is the work that left unfinished? 2297 0

  • 1
    1/3
    Correct
    Wrong
  • 2
    2/3
    Correct
    Wrong
  • 3
    1/6
    Correct
    Wrong
  • 4
    5/6
    Correct
    Wrong
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Answer : 3. "1/6"
Explanation :

Answer: C) 1/6 Explanation: Given X can do in 10 days  => 1 day work of X = 1/10   Y can do in 15 days  => 1 day work of Y = 1/15   1day work of (X + Y) = 1/10 + 1/15 = 1/6   Given they are hired for 5 days  => 5 days work of (X + Y) = 5 x 1/6 = 5/6  Therefore, Unfinished work = 1 - 5/6 = 1/6

Q: In a class of 50 students M is eighth from top. H is 20th from bottom. How many students are there between M and H? 2296 0

  • 1
    22
    Correct
    Wrong
  • 2
    23
    Correct
    Wrong
  • 3
    24
    Correct
    Wrong
  • 4
    can't be determined
    Correct
    Wrong
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Answer : 1. "22"
Explanation :

Answer: A) 22 Explanation: M is 8th from the top.   H is (50 - 20 + 1 =) 31 st from the top.   Number of students between M and H = (31 - 8- 1=)22

Q: Cup is to Coffee as Bowl is to 2295 0

  • 1
    Soup
    Correct
    Wrong
  • 2
    Food
    Correct
    Wrong
  • 3
    Fork
    Correct
    Wrong
  • 4
    Mug
    Correct
    Wrong
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Answer : 1. "Soup"
Explanation :

Answer: A) Soup Explanation: Cup : Coffee :: Bowl : Soup Because Coffee goes into a Cup and Soup goes into a Bowl where Food is a general thing and Mug is an other utensil.  So, Cup is to Coffee as Bowl is to Soup.

Q: Garampani sanctuary is located at 2294 0

  • 1
    Diphu, Assam
    Correct
    Wrong
  • 2
    Gangtok, Sikkim
    Correct
    Wrong
  • 3
    Junagarh, Gujarat
    Correct
    Wrong
  • 4
    Kohima, Nagaland
    Correct
    Wrong
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Answer : 1. "Diphu, Assam"
Explanation :

Answer: A) Diphu, Assam Explanation: Famous for Hot water springs and homeland for Hoolock Gibbons and Golden Langurs, The Garampani Wildlife Sanctuary is situated in Karbi Anglong of Diphu area. One of the oldest Sanctuary containing Hot water spring and waterfalls and surrounded by Nambour Sanctuary having 51 rare species of Orchid. It has a total area of 6 sq. Km.

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