IIT JEE Practice Question and Answer

Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 2854 0

  • 1
    63 and 49
    Correct
    Wrong
  • 2
    64 and 48
    Correct
    Wrong
  • 3
    62 and 46
    Correct
    Wrong
  • 4
    64 and 49
    Correct
    Wrong
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Answer : 1. "63 and 49"
Explanation :

Answer: A) 63 and 49 Explanation: Since their HCFs are 7, numbers are divisible by 7 and are of the form 7x and 7y Difference = 14 => 7x - 7y = 14=> x - y = 2 product of numbers = product of their hcf and lcm=> 7x * 7y = 441 * 7=> x * y = 63 Now, we havex * y = 63 , x - y = 2=> x = 9 , y = 7 The numbers are 7x and 7y=> 63 and 49

Q: Which city is located on the banks of the river Mula-Mutha? 2848 0

  • 1
    Pune
    Correct
    Wrong
  • 2
    Nagpur
    Correct
    Wrong
  • 3
    Ahmedabad
    Correct
    Wrong
  • 4
    Surat
    Correct
    Wrong
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Answer : 1. "Pune"
Explanation :

Answer: A) Pune Explanation: The Mula-Mutha is a river in India, formed by the confluence of the Mula and Mutha rivers in the city of Pune, which later meets the Bhima River, which itself later meets the Krishna River and finally emptying to the Bay of Bengal.

Q: The basic operations performed by a computer are 2831 0

  • 1
    Logical operation
    Correct
    Wrong
  • 2
    Storage and relative
    Correct
    Wrong
  • 3
    Arithmetic operation
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: The basic operations performed by a computer are Arithmetic operation, Logical operation and Storage and relative.

Q: What will come in place of question mark(?) in the following number series ? 6859       5832     ?      4096     3375 2828 0

  • 1
    4589
    Correct
    Wrong
  • 2
    4913
    Correct
    Wrong
  • 3
    5013
    Correct
    Wrong
  • 4
    5169
    Correct
    Wrong
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Answer : 2. "4913"
Explanation :

Answer: B) 4913 Explanation: The given series follows a pattern that, 19 x 19 x 19 = 6859 18 x 18 x 18 = 5832 17 x 17 x 17 = 4913 16 x 16 x 16 = 4096 15 x 15 x 15 = 3375 So, the missing number in the given series = 4913

Q: A batsman scores 26 runs and increases his average from 14 to 15. Find the runs to be made if he wants top increasing the average to 19 in the same match ? 2827 0

  • 1
    74
    Correct
    Wrong
  • 2
    79
    Correct
    Wrong
  • 3
    72
    Correct
    Wrong
  • 4
    60
    Correct
    Wrong
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Answer : 1. "74"
Explanation :

Answer: A) 74 Explanation: Number of runs scored more to increse the ratio by 1 is 26 - 14 = 12To raise the average by one (from 14 to 15), he scored 12 more than the existing average.Therefore, to raise the average by five (from 14 to 19), he should score 12 x 5 = 60 more than the existing average. Thus he should score 14 + 60 = 74.

Q: What has teeth but cannot bite? 2826 0

  • 1
    Comb
    Correct
    Wrong
  • 2
    Saw
    Correct
    Wrong
  • 3
    Zipper
    Correct
    Wrong
  • 4
    Gear
    Correct
    Wrong
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Answer : 1. "Comb"
Explanation :

Answer: A) Comb Explanation: Saw, Zipper and Gear have teeth but can bite us. Comb have teeth but cannot bite.

Q: Find the odd one out of the floowing number series? 270, 261, 279, 252, 289, 243 2825 0

  • 1
    270
    Correct
    Wrong
  • 2
    279
    Correct
    Wrong
  • 3
    289
    Correct
    Wrong
  • 4
    243
    Correct
    Wrong
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Answer : 3. "289"
Explanation :

Answer: C) 289 Explanation: Here the given number series is 270, 261, 279, 252, 289, 243 270 - 9 = 261 261 + 18 = 279 279 - 27 = 252 252 + 36 = 288 (not equals to 289) 288 - 45 = 243   Hence, the odd number in the given number series is 289.

Q: What is the most important step in prioritizing goals? 2824 0

  • 1
    deciding what is most important
    Correct
    Wrong
  • 2
    having multiple tasks lined up for each goal
    Correct
    Wrong
  • 3
    determining categories for various goals
    Correct
    Wrong
  • 4
    writing a list of goals
    Correct
    Wrong
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Answer : 1. "deciding what is most important"
Explanation :

Answer: A) deciding what is most important Explanation: Always prioritize by what's most important to what is less important to us to reach our goals as soon as possible.

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