IIT JEE Practice Question and Answer

Q: The food and drug administration sets standards for 3515 0

  • 1
    product labeling
    Correct
    Wrong
  • 2
    traffic safety
    Correct
    Wrong
  • 3
    advertising
    Correct
    Wrong
  • 4
    the environment
    Correct
    Wrong
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Answer : 1. "product labeling"
Explanation :

Answer: A) product labeling Explanation: The FDA is responsible for protecting and promoting public health through the control and supervision of food safety, tobacco products, dietary supplements, prescription and over-the-counter pharmaceutical drugs (medications), vaccines, biopharmaceuticals, blood transfusions, medical devices, electromagnetic radiation emitting devices (ERED), cosmetics, animal foods & feed and veterinary products.

Q: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 3510 0

  • 1
    142
    Correct
    Wrong
  • 2
    175
    Correct
    Wrong
  • 3
    212
    Correct
    Wrong
  • 4
    253
    Correct
    Wrong
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Answer : 4. "253"
Explanation :

Answer: D) 253 Explanation: The first person shakes hands with 22 different people, the second person also shakes hands with 22 different people, but one of those handshakes was counted in the 22 for the first person, so the second person actually shakes hands with 21 new people. The third person, 20 people, and so on... So, 22 + 21 + 20 + 19 + 18 + 17 + 16 + 15 + 14 + 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1= n(n+1)/2 = 22 x 23 /2 = 11 x 23 = 253.

Q: Ram and Raj start a business with investments of Rs. 2500 and Rs. 2250 respectively. After 2 months, Ram takes out Rs.1250 from his capital. After 1 more month, Raj takes out Rs.750 of his capital while Rakesh joins them with a capital of Rs. 3500. At the end of 6 months, they earn a profit of Rs. 2540. Which of the following is the share of each member in the profit ? 3510 0

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    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
    Correct
    Wrong
  • 2
    Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
    Correct
    Wrong
  • 3
    Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
    Correct
    Wrong
  • 4
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
    Correct
    Wrong
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Answer : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
Explanation :

Answer: A) Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840 Explanation: Initial investment of Ram = Rs.2500.After 2 months he withdraw Rs.1250 from his capital.Therefore, we have, Ram invested Rs.2500 for 2 months and Rs.(2500-1250=) 1250 for 4 months. Raj invested Rs. 2250 for 3 months and Rs.(2250-750=) 1500 for 3 months. And, Rakesh invested Rs.3500 for 3 months; Their investing ratio:Ram:Raj:Rakesh = (2500x2 + 1250x4):(2250x3 + 1500x3):(3500x3)= (10,000):(11,250):(10,500) = 1000:1125:1050 = 40:45:42 Total profit for 6 months = Rs.2540Therefore, Ram's share = Rs.(2540 x 40/(40+45+42)) = Rs.(2540 x 40/127) = Rs.800Raj's share = Rs.(2540 x 45/127) = Rs.900Rakesh's share = Rs.(2540 x 42/127) = Rs.840

Q: Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ? 3508 0

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

Answer: D) 5 minutes Explanation: Let the total capacity of tank be 90 liters.Capacity of tank filled in 1 minute by K = 3 liters.Capacity of tank filled in 1 minute by L = 15 liters.Therefore, capacity of the tank filled by both K and L in 1 minute = 18 liters.Hence, time taken by both the pipes to overflow the tank = 90/18 = 5 minutes.

Q: Which of the following metals forms an amalgam with other metals  ? 3508 1

  • 1
    Mercury
    Correct
    Wrong
  • 2
    Zinc
    Correct
    Wrong
  • 3
    Tin
    Correct
    Wrong
  • 4
    Lead
    Correct
    Wrong
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Answer : 1. "Mercury"
Explanation :

Answer: A) Mercury Explanation:

Q: In these series, you will be looking at both the letter pattern and the number pattern. Fill the blank in the middle of the series or end of the series.SCD, TEF, UGH, ____, WKL 3507 0

  • 1
    UJI
    Correct
    Wrong
  • 2
    VIJ
    Correct
    Wrong
  • 3
    XLM
    Correct
    Wrong
  • 4
    DOP
    Correct
    Wrong
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Answer : 2. "VIJ"
Explanation :

Answer: B) VIJ Explanation: First letter series S,T,U,Vsecond and third letter series CD,EF,GH,IJ...so answer = VIJ

Q: Amith can row a boat d km upstream and the same distance downstream in 5 hours 15 minutes. Also, he can row the boat 2d km upstream in 7 hours. How long will it take to row the same distance 2d km downstream for Amith ? 3504 0

  • 1
    4 hrs 10 min
    Correct
    Wrong
  • 2
    3 hrs 15 min
    Correct
    Wrong
  • 3
    3 hrs 30 min
    Correct
    Wrong
  • 4
    4 hrs 1 min
    Correct
    Wrong
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Answer : 3. "3 hrs 30 min"
Explanation :

Answer: C) 3 hrs 30 min Explanation: Let the speed of boat and stream be x and y kmph respectively. According to question d/x+y + d/x-y = 5h 15m or 21/4 hrs ......(i) and 2d/x-y = 7...... (ii) From eq. (i) and (ii) 2d/x+y = 7/2 Hence, Amith will take to row 2d km distance downstream in 7/2 hrs = 3.5 hrs = 3 hrs 30 min.

Q: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3503 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

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