IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: The difference of two numbers is 14. Their LCM and HCF are 441 and 7. Find the two numbers ? 3231 0

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    63 and 49
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    गलत
  • 2
    64 and 48
    सही
    गलत
  • 3
    62 and 46
    सही
    गलत
  • 4
    64 and 49
    सही
    गलत
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उत्तर : 1. "63 and 49"
व्याख्या :

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

प्र: Rs. 2600 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4 ? 3225 0

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    600
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    गलत
  • 2
    300
    सही
    गलत
  • 3
    150
    सही
    गलत
  • 4
    75
    सही
    गलत
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उत्तर : 1. "600"
व्याख्या :

Answer: A) 600 Explanation: 1/2:1/3:1/4 = 6:4:3 As the difference is 3 => 3/13x2600 = 600

प्र: The 1911 Chinese revolution ended the rule of the 3225 0

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    Ming dynasty
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  • 2
    Mongolians dynasty
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    गलत
  • 3
    Song dynasty
    सही
    गलत
  • 4
    Manchus dynasty
    सही
    गलत
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उत्तर : 4. "Manchus dynasty"
व्याख्या :

Answer: D) Manchus dynasty Explanation: It was the Qing Dynasty, who was a Manchu Dynasty whose rule ended in 1911 Chinese revolution.

प्र: Dhanraj Pillay is related to which sports ? 3225 0

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    Cricket
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  • 2
    Hockey
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    गलत
  • 3
    Golf
    सही
    गलत
  • 4
    Football
    सही
    गलत
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उत्तर : 2. "Hockey"
व्याख्या :

Answer: B) Hockey Explanation: Dhanraj Pillay is a retired Indian field hockey player and former captain of the Indian national team.He currently serves as the manager of the team.

प्र: 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 ? 3216 0

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    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840
    सही
    गलत
  • 2
    Ram - Rs. 900, Raj - Rs. 800, Rakesh - Rs. 840
    सही
    गलत
  • 3
    Ram - Rs. 840, Raj - Rs. 920, Rakesh - Rs. 840
    सही
    गलत
  • 4
    Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 940
    सही
    गलत
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उत्तर : 1. "Ram - Rs. 800, Raj - Rs. 900, Rakesh - Rs. 840"
व्याख्या :

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

प्र: Find the odd man out in the following number series? 5, 4, 9, 32, 273 3216 0

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    4
    सही
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  • 2
    9
    सही
    गलत
  • 3
    32
    सही
    गलत
  • 4
    273
    सही
    गलत
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उत्तर : 3. "32"
व्याख्या :

Answer: C) 32 Explanation: The given number series follows 5, 4, 9, 32, 308 pattern that   5 5 x 1 - 1 = 4 4 x 3 - 3 = 9 9 x 5 - 5 = 40 (not equals to 32) 40 x 7 - 7 = 273   Hence, the odd man in the given number series is 32.

प्र: Choose the word which gives best meaning to the sentence from the given options. His recent success ______ him more arrogant than what he used to be 3208 0

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    make
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  • 2
    have make
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  • 3
    was making
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    गलत
  • 4
    has made
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उत्तर : 4. "has made"
व्याख्या :

Answer: D) has made Explanation: HIS RECENT SUCCESS HAS MADE HIM MORE ARROGANT THAN WHAT HE USED.

प्र: A Cricket team of 23 people all shake hands with each other exactly once. How many hand shakes occur ? 3206 0

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    142
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    गलत
  • 2
    175
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    गलत
  • 3
    212
    सही
    गलत
  • 4
    253
    सही
    गलत
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उत्तर : 4. "253"
व्याख्या :

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.

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