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 ? 3414 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: What will come in place of question mark(?) in the following number series ? 6859       5832     ?      4096     3375 3410 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: Complete the next number in the given number series? 21 56 102 160 231 316 3409 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: How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4? 3407 0

  • 1
    120
    Correct
    Wrong
  • 2
    360
    Correct
    Wrong
  • 3
    240
    Correct
    Wrong
  • 4
    424
    Correct
    Wrong
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Answer : 2. "360"
Explanation :

Answer: B) 360 Explanation: There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.    Number of 7 digit numbers = 7!3!×2! = 420   But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.   =6!3!×2! = 60   Hence the required number of 7 digits numbers = 420 - 60 = 360

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Answer : 4. "9:1"
Explanation :

Answer: D) 9:1 Explanation: Milk = 3/5 x 20 = 12 liters, water = 8 liters   If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.   Remaining milk = 12 - 6 = 6 liters Remaining water = 8 - 4 = 4 liters   10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.   The ratio of milk and water in the new mixture = 16:4 = 4:1   If the process is repeated one more time and 10 liters of the mixture are removed, then amount of milk removed = 4/5 x 10 = 8 liters.   Amount of water removed = 2 liters.   Remaining milk = (16 - 8) = 8 liters. Remaining water = (4 -2) = 2 liters.   Now 10 lts milk is added => total milk = 18 lts   The required ratio of milk and water in the final mixture obtained   = (8 + 10):2 = 18:2 = 9:1.

Q: एक स्तंभ और एक पंक्ति का प्रतिच्छेदन 3406 0

  • 1
    सेल
    Correct
    Wrong
  • 2
    मेन्यू
    Correct
    Wrong
  • 3
    की
    Correct
    Wrong
  • 4
    फिल्ड
    Correct
    Wrong
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Answer : 1. "सेल"
Explanation :

Answer: A) सेल स्पष्टीकरण: एक स्प्रेड शीट में एक कॉलम और एक पंक्ति के प्रतिच्छेदन को सेल या बोन कहा जाता है।

Q: Count the number of triangles and squares in the given figure. 3402 0

  • 1
    36 triangles, 7 Squares
    Correct
    Wrong
  • 2
    38 triangles, 9 Squares
    Correct
    Wrong
  • 3
    40 triangles, 7 Squares
    Correct
    Wrong
  • 4
    42 triangles, 9 Squares
    Correct
    Wrong
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Answer : 3. "40 triangles, 7 Squares"
Explanation :

Answer: C) 40 triangles, 7 Squares Explanation: The figure may be labelled as shown      Triangles :   The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number   The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.   The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.   Total number of triangles in the figure = 18 + 16 + 6 =40.   Squares :   The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number   The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number   Total number of squares in the figure = 3 + 4 =7

Q: Excretion is best described as the removal of 3400 0

  • 1
    Undigested material from the digestive tract
    Correct
    Wrong
  • 2
    Metabolic wastes from a cell
    Correct
    Wrong
  • 3
    Toxic wastes by the process of cyclosis
    Correct
    Wrong
  • 4
    Water molecules from dipeptide hydrolysis
    Correct
    Wrong
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Answer : 2. "Metabolic wastes from a cell"
Explanation :

Answer: B) Metabolic wastes from a cell Explanation: Excretion is best described as the removal of Metabolic wastes from a cell.

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