IIT JEE Practice Question and Answer

Q: If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ? 1526 0

  • 1
    72 years
    Correct
    Wrong
  • 2
    54 years
    Correct
    Wrong
  • 3
    60 years
    Correct
    Wrong
  • 4
    47 years
    Correct
    Wrong
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Answer : 3. "60 years"
Explanation :

Answer: C) 60 years Explanation: Let the Present age of arun is xGokul's age = 5-2 = 3x-6/18 = 3x-6 = 54x = 60Arun's present age = 60 years

Q: What is the smallest number of ducks that could swim in this formation - two ducks in front of a duck, two ducks behind a duck and a duck between two ducks ? 1729 0

  • 1
    3
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 1. "3"
Explanation :

Answer: A) 3 Explanation:

Q: A group of 1200 persons consisting of boys and girls is travelling in a Bus. For every 15 boys there is one girl. The number of girls in the group is ? 1298 0

  • 1
    60
    Correct
    Wrong
  • 2
    65
    Correct
    Wrong
  • 3
    70
    Correct
    Wrong
  • 4
    75
    Correct
    Wrong
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Answer : 4. "75"
Explanation :

Answer: D) 75 Explanation: If there are x girls, then x + 15x = 120016x = 1200x= 1200/16 = 75

Q: If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q + R - S, S is in which direction with respect to Q ? 3764 0

  • 1
    South-East
    Correct
    Wrong
  • 2
    North-West
    Correct
    Wrong
  • 3
    East
    Correct
    Wrong
  • 4
    West
    Correct
    Wrong
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Answer : 1. "South-East"
Explanation :

Answer: A) South-East Explanation: P % Q + R - S=> P is to the East of Q, who is to the North of R, who is to the West of S.=> Q.....P      R.....S=> With respect to Q, S is to the South-East of Q.

Q: Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ? 2272 0

  • 1
    25 years
    Correct
    Wrong
  • 2
    24 years
    Correct
    Wrong
  • 3
    23 years
    Correct
    Wrong
  • 4
    22 years
    Correct
    Wrong
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Answer : 3. "23 years"
Explanation :

Answer: C) 23 years Explanation: Ayush's present age = 10 years.His mother's present age = (10 + 20) years = 30 years.Ayush's father's present age = (30 + 5) years = 35 years.Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years. Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.

Q: In a certain code language ‘ROUTINE’ is written as 'VMRGFLI'. How will 'CRUELTY' be written in that code language ? 5000 0

  • 1
    UPVCZLR
    Correct
    Wrong
  • 2
    VPCVZRL
    Correct
    Wrong
  • 3
    CVCPZRL
    Correct
    Wrong
  • 4
    VCPCZLR
    Correct
    Wrong
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Answer : 2. "VPCVZRL"
Explanation :

Answer: B) VPCVZRL Explanation: ROUTINE IS 7 LETTER WORD.. (1st=R,2nd=O,3rd=U,4th=T,5th=I,6th=N,7th=E)1st and 3rd letter interchanging. (UORTINE)5th and 7th letter interchanging. (UORTENI)1st letter shifting one after that (VORTENI)2nd letter shifting two befor that (VMRTENI)3rd letter remains same (VMRTENI)4th letter(total alphabets - current)+1(26 - 20)+1= 7.(i.e) G (VMRGFNI)5th letter shifting one after that (VMRGFNI)6th letter shifting two befor that (VMRGFLI)7th letter remains same (VMRGFLILike that,CRUELTY IS 7 LETTER WORD.. (1st=C,2nd=R,3rd=U,4th=E,5th=L,6th=T,7th=Y)1st and 3rd letter interchanging. (URCELTY)5th and 7th letter interchanging. (URCEYTL)1st letter shifting one after that (VRCEYTL)2nd letter shifting two befor that (VPCEYTL)3rd letter remains same (VPCEYTL)4th letter (total alphabets - current)+1(26 - 5)+1= 22.(i.e) V (VPCVYTL) 5th letter shifting one after that (VPCVZTL)6th letter shifting two befor that (VPCVZRL)7th letter remains same (VPCVZRL).

Q: A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss ? 2946 0

  • 1
    Rs. 404.80
    Correct
    Wrong
  • 2
    Rs. 536.80
    Correct
    Wrong
  • 3
    Rs.440
    Correct
    Wrong
  • 4
    Rs. 160
    Correct
    Wrong
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Answer : 1. "Rs. 404.80"
Explanation :

Answer: A) Rs. 404.80 Explanation: Let C1 be the cost price of the first article and C2 be the cost price of the second article.Let the first article be sold at a profit of 22%, while the second one be sold at a loss of 8%. We know, C1 + C2 = 600.The first article was sold at a profit of 22%. Therefore, the selling price of the first article = C1 + (22/100)C1 = 1.22C1The second article was sold at a loss of 8%. Therefore, the selling price of the second article = C2 - (8/100)C2 = 0.92C2. The total selling price of the first and second article = 1.22C1 + 0.92C2. As the merchant did not make any profit or loss in the entire transaction, his combined selling price of article 1 and 2 is the same as the cost price of article 1 and 2. Therefore, 1.22C1 + 0.92C2 = C1+C2 = 600As C1 + C2 = 600, C2 = 600 - C1. Substituting this in 1.22C1 + 0.92C2 = 600, we get1.22C1 + 0.92(600 - C1) = 600or 1.22C1 - 0.92C1 = 600 - 0.92*600or 0.3C1 = 0.08*600 = 48or C1 = 48/(0.3) = 160.If C1 = 160, then C2 = 600 - 160 = 440.The item that is sold at loss is article 2. The selling price of article 2 = 0.92*C2 = 0.92*440 = 404.80.

Q: Fill in the blank with a suitable word from the given words. All the efforts of the batsmen went _____ vain as the bowlers failed to perform well. 1705 0

  • 1
    for
    Correct
    Wrong
  • 2
    off
    Correct
    Wrong
  • 3
    in
    Correct
    Wrong
  • 4
    out
    Correct
    Wrong
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Answer : 3. "in"
Explanation :

Answer: C) in Explanation:

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