IIT JEE Practice Question and Answer

Q: In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends? 1464 0

  • 1
    240
    Correct
    Wrong
  • 2
    72
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    36
    Correct
    Wrong
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Answer : 3. "48"
Explanation :

Answer: C) 48 Explanation: DESIGN = 6 letters   No consonants appear at either of the two ends.  = 2 x 4P4 =  2 x 4 x 3 x 2 x 1=  48

Q: Who has been appointed as the new Director General of Police (DGP) of Telangana State Government? 1464 0

  • 1
    M. Mahender Reddy
    Correct
    Wrong
  • 2
    Dharmendra Rao
    Correct
    Wrong
  • 3
    Anurag Sharma
    Correct
    Wrong
  • 4
    V.V. Srinivas Rao
    Correct
    Wrong
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Answer : 1. "M. Mahender Reddy"
Explanation :

Answer: A) M. Mahender Reddy Explanation: M. Mahender Reddy, Commissioner of Hyderabad Police, has been appointed as the new Director General of Police (DGP) of Telangana State. He took charge on 12 November 2017.Reddy succeeded the first DGP of Telangana State Anurag Sharma, who retired from the service on 11 November 2017. Meanwhile, Hyderabad Police Additional Commissioner V.V. Srinivasa Rao has been made in-charge of Hyderabad Commissioner of Police. Anurag Sharma has now appointed as the advisor to Home Department by the Telangana State Government.

Q: In the following number series, one of the numbers is wrong. Find it out? 77, 79, 76, 81, 75, 85 1463 0

  • 1
    79
    Correct
    Wrong
  • 2
    81
    Correct
    Wrong
  • 3
    75
    Correct
    Wrong
  • 4
    85
    Correct
    Wrong
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Answer : 3. "75"
Explanation :

Answer: C) 75 Explanation: Here in the given series, it follows a pattern that   77 + 2 = 79   79  - 3 = 76   76 + 5 = 81   81 -  7 = 74   74 + 11 = 85   Consecutive adding and subtracting of prime numbers.   So the wrong number in the given series is 75.

Q: There are 1650 students in a college. The difference between the number of boys and girls in the college is 400. What is the percentage of girls in the college ? 1462 0

  • 1
    49
    Correct
    Wrong
  • 2
    34
    Correct
    Wrong
  • 3
    43
    Correct
    Wrong
  • 4
    38
    Correct
    Wrong
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Answer : 4. "38"
Explanation :

Answer: D) 38 Explanation: Let no. of boys be 'B' and no. of girls be 'G' Here from given data, B + G = 1650 .....(1) B - G = 400 .....(2) From (1) & (2), we get 2B = 2050 => B = 1025 => G = 1650 - 1025 = 625 Hence, the % of girls = 625 x 100/1650 => 38% (approx).

Q: The process of bones increasing in width is known as 1462 0

  • 1
    appositional growth
    Correct
    Wrong
  • 2
    closing of the epiphyseal plate
    Correct
    Wrong
  • 3
    concentric growth
    Correct
    Wrong
  • 4
    long bones reaching adult length and width
    Correct
    Wrong
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Answer : 1. "appositional growth"
Explanation :

Answer: A) appositional growth Explanation:

Q: The more you take away the larger it becomes. What is that? 1461 0

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Answer :
Explanation :

A Hole. When you are digging a hole the more you take out the soil, the igger the hole becomes.

Q: Two parallel chords on the same side of the centre of a circle are 5 cm apart. If the chords are 20 and 28 cm long, what is the radius of the circle? 1460 0

  • 1
    14.69 cm
    Correct
    Wrong
  • 2
    15.69 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    16.42 cm
    Correct
    Wrong
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Answer : 2. "15.69 cm"
Explanation :

Answer: B) 15.69 cm Explanation: Draw the two chords as shown in the figure. Let O be the center of the circle. Draw OC perpendicular to both chords. That divides the two chords in half.So CD = 10 and AB = 14. Draw radii OA and OD, both equal to radius r.We are given that BC = 5, the distance between the two chords. LetOB = x. We use the Pythagorean theorem on right triangle ABO AO² = AB² + OB² r² = 14² + x² We use the Pythagorean theorem on right triangle DCO DO² = CD² + OC² We see that OC = OB+BC = x+5, so r² = 10² + (x+5)² So we have a system of two equations: r² = 14² + x² r² = 10² + (x+5)² Since both left sides equal r², set the right sidesequal to each other. 14² + x² = 10² + (x+5)² 196 + x² = 100 + x² + 10x + 25 196 = 125 + 10x 71 = 10x 7.1 = x r² = 14² + x² r² = 196 + (7.1)² r² = 196 + 50.41 r² = 246.41 r = √246.41 r = 15.69745202 cm

Q: Which of the following team has won the 37th and final edition of the Hockey Champions Trophy at Breda, the Netherlands? 1460 0

  • 1
    India
    Correct
    Wrong
  • 2
    Australia
    Correct
    Wrong
  • 3
    Brazil
    Correct
    Wrong
  • 4
    The Netherlands
    Correct
    Wrong
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Answer : 2. "Australia"
Explanation :

Answer: B) Australia Explanation: In the summit clash of the 37th and final edition of the Hockey Champions Trophy at Breda, the Netherlands, India lost to defending champions Australia via penalty shoot-off. The match went into the shoot-off after both the teams were locked at 1-1 in regulation time.

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