IIT JEE Practice Question and Answer

Q: A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ? 1284 0

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

Answer: B) Rs. 3 Explanation: Let wholesaler dealers marked price = 100%, Retailer's C.P = 80% And the retailer sells at 5% less than the marked price => S.P = 95%If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16 Profit made by the retailer = 19-16 =  Rs.3

Q: Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ? 2138 0

  • 1
    125
    Correct
    Wrong
  • 2
    155
    Correct
    Wrong
  • 3
    135
    Correct
    Wrong
  • 4
    165
    Correct
    Wrong
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Answer : 4. "165"
Explanation :

Answer: D) 165 Explanation: Ratio C1:C2 = 3:5 and C2:C3 = 7:11So C1:C2:C3 = 21 : 35 : 55Let the strength of three classes are 21x, 35x and 55x respectively, then Given that 21x + 35x + 55x = 333=> 111x = 333 or x=3So strength of the class with highest number of students =55x = 55x3 = 165.

Q: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ? 1717 1

  • 1
    42.2 mts
    Correct
    Wrong
  • 2
    33.45 mts
    Correct
    Wrong
  • 3
    66.6 mts
    Correct
    Wrong
  • 4
    58.78 mts
    Correct
    Wrong
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Answer : 3. "66.6 mts"
Explanation :

Answer: C) 66.6 mts Explanation: From above diagramAC represents the hill and DE represents the tower Given that AC = 100 m angleXAD = angleADB = 30° (∵ AX || BD ) angleXAE = angleAEC = 60° (∵ AX || CE) Let DE = h Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE tan 60°=AC/CE => √3 = 100/CE =>CE = 100/√3 ----- (1) tan 30° = AB/BD => 1/√3 = 100−h/BD => BD = 100−h(√3)∵ BD = CE and Substitute the value of CE from equation 1 100/√3 = 100−h(√3) => h = 66.66 mts The height of the tower = 66.66 mts.

Q: 5/9 of the part of the population in a village are females. If 30 % of the females are married. The percentage of unmarried males in the total males is ? 1486 0

  • 1
    62.5 %
    Correct
    Wrong
  • 2
    125 %
    Correct
    Wrong
  • 3
    84.32 %
    Correct
    Wrong
  • 4
    46.87 %
    Correct
    Wrong
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Answer : 1. "62.5 %"
Explanation :

Answer: A) 62.5 % Explanation: Let total population = p number of females = 5p/9number of males =(p-5p/9) = 4p/9married females = 30% of 5p/9 = 30x5p/100x9 = p/6married males = p/6unmarried males =(4p/9-p/6) = 5p/18Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%

Q: A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is ? 5323 0

  • 1
    64
    Correct
    Wrong
  • 2
    76
    Correct
    Wrong
  • 3
    84
    Correct
    Wrong
  • 4
    98
    Correct
    Wrong
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Answer : 3. "84"
Explanation :

Answer: C) 84 Explanation: Given total sum = Rs. 427And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.=> 3A = 4B = 7CBut given=> A + B + C = 427Now express A and B in terms of C i.e=> (7C/3) + (7C/4) + C = 427=> C = 84

Q: The percentage discount offered for "Buy 6 get 1 free is" ? 2455 0

  • 1
    85.78 %
    Correct
    Wrong
  • 2
    58. 48 %
    Correct
    Wrong
  • 3
    19.25 %
    Correct
    Wrong
  • 4
    14.285 %
    Correct
    Wrong
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Answer : 4. "14.285 %"
Explanation :

Answer: D) 14.285 % Explanation: Total Items = 7Discounted = 1Percentage = 1/7 x 100= 14.285%

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 ? 2453 0

  • 1
    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: If CGKQW is one sequence following a logic, and another five-letter sequence following similar type of logic is BFJPV, then one more variation of this type can be ? 1632 0

  • 1
    VPCFT
    Correct
    Wrong
  • 2
    DHLRX
    Correct
    Wrong
  • 3
    CFKNT
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "DHLRX"
Explanation :

Answer: B) DHLRX Explanation: The logic behind the sequence given in the question is +4, +4, +6, +6Therefore, the sequence which follows the same logic in the given options is DHLRX.

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