IIT JEE Practice Question and Answer

Q: The ages of Anushka, Kajal and Charu latha together are 57 years. Bharti is thrice as old as Anushka and Charu latha is 12 years older than Anushka. Then, the respective age of Anushka, Kajal and Charu latha is ? 2810 0

  • 1
    27, 9, 21
    Correct
    Wrong
  • 2
    9, 21, 27
    Correct
    Wrong
  • 3
    21, 27, 9
    Correct
    Wrong
  • 4
    9, 27, 21
    Correct
    Wrong
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Answer : 4. "9, 27, 21"
Explanation :

Answer: D) 9, 27, 21 Explanation: Let Anushka age = XCharu latha 12 yrs older than Anushka so Charu latha age = x+12Kajal is thrice as old as Anushka so Kajal age = 3xThe ages of Anushka, Kajal and Charu latha together are 57 yearsi.e x + (x+12) + 3x = 57=> 5x = 45:- x = 9Anushka age = 9Kajal age = 3x = 27Charu latha age = x+12 = 21

Q: There are several peacocks and deers in a cage (with no other types of animals). There are 72 heads and 200 feet inside the cage. How many peacocks are there, and how many deers ? 2809 0

  • 1
    42 & 24
    Correct
    Wrong
  • 2
    38 & 26
    Correct
    Wrong
  • 3
    36 & 24
    Correct
    Wrong
  • 4
    44 & 28
    Correct
    Wrong
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Answer : 4. "44 & 28"
Explanation :

Answer: D) 44 & 28 Explanation: Letx = peacocks y = deers 2x + 4y = 200 x + y = 72 y = 72 - x 2x + 288 - 4x = 200 x = 44 peacocks y = 28 deers

Q: The average age of a couple and their son was 40 years, the son got married and a child was born just two years after their marriage. When child turned to 10 years, then the average age of the family becomes 38 years. What was the age of the daughter in law at the time of marriage ? 2800 0

  • 1
    12 years
    Correct
    Wrong
  • 2
    10 years
    Correct
    Wrong
  • 3
    14 years
    Correct
    Wrong
  • 4
    13 years
    Correct
    Wrong
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Answer : 1. "12 years"
Explanation :

Answer: A) 12 years Explanation: Given the average age of couple and their son = 40 => Sum of age (H +W +S) = 40×3 Let the age of daughter in law at the time of marriage = D years Now after 10 years, (H + S +W) + 3×12 + D +12 + 10 = 38×5 178 + D = 190 D = 190 -178 = 12 years

Q: Three men, four women and six children can complete a work in 9 days. A women does  double the work a man does and a child does half the work a man does. How many women alone can complete this work in 9 days? 2799 0

  • 1
    7
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 1. "7"
Explanation :

Answer: A) 7 Explanation: Given (3 Men + 4 Women + 6 Children) -----> 9 days But W = 2M and C = M/2 Now, convert Men and Children into Women by 3W2 + 4W + 6W4=> 32 + 4 + 32 = 7 Women  Therefore, 7 women alone can complete this work in 9 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 ? 2799 0

  • 1
    9 hrs
    Correct
    Wrong
  • 2
    7 hrs
    Correct
    Wrong
  • 3
    13 hrs
    Correct
    Wrong
  • 4
    11 hrs
    Correct
    Wrong
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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.

Q: Complete the next number in the given number series? 21 56 102 160 231 316 2799 0

  • 1
    416
    Correct
    Wrong
  • 2
    415
    Correct
    Wrong
  • 3
    414
    Correct
    Wrong
  • 4
    413
    Correct
    Wrong
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Answer : 1. "416"
Explanation :

Answer: A) 416 Explanation: The given number series is  21 56 102 160 231 316   21      56       102        160      231       316         416    +35    +46       +58       +71      +85       +100         +11      +12       +13      +14      +15   Hence, the next number in the given number series is 316 + 100 = 416.

Q: ABCDEFGHIJKLMNOPQRSTUVWXYZ Riddle What word or Phrase or letter is it representing abcdefghijklmnopqrstvwxyz 2798 0

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Answer :
Explanation :

Here in the alphabets the letter U is missing and it represents the word MISSING YOU (U).

Q: How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines? 2798 0

  • 1
    215
    Correct
    Wrong
  • 2
    315
    Correct
    Wrong
  • 3
    415
    Correct
    Wrong
  • 4
    115
    Correct
    Wrong
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Answer : 2. "315"
Explanation :

Answer: B) 315 Explanation: Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.   Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.   Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315

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