IIT JEE Practice Question and Answer

Q: A certain amount is divided among P, Q and R in the ratio of 3 : 7 : 6 respectively. If the difference between share of P and Q is Rs. 2700, what is R's share? 1148 0

  • 1
    Rs. 4050
    Correct
    Wrong
  • 2
    Rs. 2121
    Correct
    Wrong
  • 3
    Rs. 5040
    Correct
    Wrong
  • 4
    Rs. 3550
    Correct
    Wrong
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Answer : 1. "Rs. 4050"
Explanation :

Answer: A) Rs. 4050 Explanation: Let the ratio amount be 'p' 7p - 3p = 2700 4p = 2700 p = 675 R's Share = 675 × 6 = Rs. 4050

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Answer :
Explanation :

We know a proverb that An apple a day keeps the doctor away. To keep the doctor away from her, he gave seven apples, each apple a day.

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 ? 1147 0

  • 1
    28
    Correct
    Wrong
  • 2
    19
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    17
    Correct
    Wrong
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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: A man purchases two articles, on selling one at loss of 20% while the other at a profit of 25%, he gains the overall profit of 5% than find the ratio of their selling price ? 1146 0

  • 1
    8 : 62.5
    Correct
    Wrong
  • 2
    55 : 8
    Correct
    Wrong
  • 3
    8 : 65
    Correct
    Wrong
  • 4
    64.4 : 9
    Correct
    Wrong
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Answer : 1. "8 : 62.5"
Explanation :

Answer: A) 8 : 62.5 Explanation:                       Article I                   Article II                         -20                         25%                                        5%                         20%                       25%                                                4              :              5 Now, Selling of first article = (4-20%) = 0.8 Selling of second article = (5+25%) =  6.25 Therefore the ratio of selling price = 8 : 62.5

Q: A contractor undertake to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged so that the work may finish in time ? 1146 0

  • 1
    64
    Correct
    Wrong
  • 2
    62
    Correct
    Wrong
  • 3
    58
    Correct
    Wrong
  • 4
    56
    Correct
    Wrong
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Answer : 4. "56"
Explanation :

Answer: D) 56 Explanation: Days remaining 124 – 64 = 60 days Remaining work = 1 - 2/3 = 1/3 Let men required men for working remaining days be 'm' So men required = (120 x 64)/2 = (m x 60)/1 => m = 64 Men discharge = 120 – 64 = 56 men.

Q: abcdefghijklmnopqrstuvwxyz Riddle What sentence contains all abcdefghijklmnopqrstuvwxyz? 1146 0

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Answer :
Explanation :

The Quick Brown Fox Jumped Over The Lazy Dog  is the sentence which contains all 26 alphabets i.e, from a to z.

Q: A seller charges 28% more from a customer as GST on an article. If customer paid Rs. 4544, what is the cost price of the article? 1146 0

  • 1
    Rs. 3550
    Correct
    Wrong
  • 2
    Rs. 2650
    Correct
    Wrong
  • 3
    Rs. 3840
    Correct
    Wrong
  • 4
    Rs. 2450
    Correct
    Wrong
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Answer : 1. "Rs. 3550"
Explanation :

Answer: A) Rs. 3550 Explanation: Let the cost price of the article be 'P' Then from given data, P + 28P100 = 4544=> 128P = 454400=> P = 3550 Hence, the cost price of the article = P = Rs. 3550

Q: If  1 1 1 1 = R    2 2 2 2 = T    3 3 3 3 = E    4 4 4 4 = N   Then  5 5 5 5 = ? 1146 0

  • 1
    Y
    Correct
    Wrong
  • 2
    Z
    Correct
    Wrong
  • 3
    T
    Correct
    Wrong
  • 4
    X
    Correct
    Wrong
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Answer : 1. "Y"
Explanation :

Answer: A) Y Explanation: If you add all the terms of the LHS of equality, then the last letter of the sum written in words would give you the RHS. 1 + 1 + 1 + 1 = 4 = FOUR 2 + 2 + 2 + 2 = 8 = EIGHT 3 + 3 + 3 + 3 = 12 = TWELVE 4 + 4 + 4 + 4 = 16 = SIXTEEN   So, following the same pattern. 5 + 5 + 5 + 5 = 20 = TWENTY   That gives us our answer to 5 5 5 5 =  "Y".

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