Quantitative Aptitude प्रश्न और उत्तर का अभ्यास करें

प्र: There are 44 students in a hostel, due to the administration,  15 new students has joined. The expense of the mess increase by Rs. 33 per day. While the average expenditure per head diminished by Rs. 3, what was the original expenditure of the mess ? 3315 0

  • 1
    Rs. 404
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  • 2
    Rs. 514
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  • 3
    Rs. 340
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  • 4
    Rs. 616
    सही
    गलत
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उत्तर : 4. "Rs. 616"
व्याख्या :

Answer: D) Rs. 616 Explanation: Let the average expenditure per head be Rs. pNow, the expenditure of the mess for old students is Rs. 44pAfter joining of 15 more students, the average expenditure per head is decreased by Rs. 3 => p-3Here, given the expenditure of the mess for (44+15 = 59) students is increased by Rs. 33Therefore, 59(p-3) = 44p + 3359p - 177 = 44p + 3315p = 210 => p = 14Thus, the expenditure of the mess for old students is Rs. 44p = 44 x 14 = Rs. 616.

प्र: The concentration of glucose in three different mixtures (glucose and alcohol) is 12,35 and 45 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. What is the ratio of glucose and alcohol in the new mixture? 3304 0

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    3:2
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  • 2
    4:3
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  • 3
    2:3
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  • 4
    3:4
    सही
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उत्तर : 1. "3:2"
व्याख्या :

Answer: A) 3:2 Explanation: Concentration of glucose are in the ratio = 12:35:45 Quantity of glucose taken from A = 1 liter out of 2 Quantity of glucose taken from B = 3/5 x 3 = 1.5 lit Quantity of glucose taken from C = 0.8 lit So, total quantity of glucose taken from A,B and C = 3.6 lit So, quantity of alcohol = (2 + 3 + 1) - 3.6 = 2.4 lit Ratio of glucose to alcohol = 3.6/2.4 = 3:2

प्र: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together  ? 3301 0

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    5 (2/3)
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  • 2
    6 (3/4 )
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  • 3
    4 (1/2)
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  • 4
    3
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उत्तर : 3. "4 (1/2)"
व्याख्या :

Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total.    Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9    They would take 9/2 days = 4 (1/2) days to complete the work working together.

प्र: How many prime numbers exist in 65×359×113 ? 3296 0

  • 1
    29
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  • 2
    31
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  • 3
    33
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  • 4
    27
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उत्तर : 2. "31"
व्याख्या :

Answer: B) 31 Explanation: Given  65×359×113 ⇒2×35×5×79×113  ⇒25×35×59×79×113 Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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उत्तर : 3. "12 मिनट"

प्र: k, l, m together started a business. k invested Rs.6000 for 5 months l invested Rs.3600 for 6 months and m Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of l ? 3293 0

  • 1
    Rs. 1640
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  • 2
    Rs. 2500
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  • 3
    Rs. 2160
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    गलत
  • 4
    Rs. 3000
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उत्तर : 3. "Rs. 2160"
व्याख्या :

Answer: C) Rs. 2160 Explanation: => 60x5 : 36x6 : 75x3 => 100 : 72 : 75 => 72/247 x 7410 = Rs. 2160

प्र: A group consists of 4 men, 6 women and 5 children. In how many ways can 2 men , 3 women and 1 child selected from the given group ? 3284 0

  • 1
    600
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  • 2
    610
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  • 3
    609
    सही
    गलत
  • 4
    599
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    गलत
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उत्तर : 1. "600"
व्याख्या :

Answer: A) 600 Explanation: Two men, three women and one child can be selected in ⁴C₂ x ⁶C₃ x ⁵C₁ ways = 600 ways.

प्र: What time will it be 18 hours from now in India, if in the USA it is 4:15 AM? (Hint : IST = US + 9:30 hrs) 3271 0

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    1:45 in the afternoon
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  • 2
    7:45 in the evening
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  • 3
    7:45 in the next morning
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    गलत
  • 4
    1:45 in the next morning
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उत्तर : 3. "7:45 in the next morning"
व्याख्या :

Answer: C) 7:45 in the next morning Explanation: We know that the time difference between India and USA is 9 hrs 30 min. India is 9:30 hrs ahead of USA. Time in India = 4:15 + 9:30 = 13:45 PM. Required Time after 18 hrs = 13:45 + 18 hrs = 7:45 AM.   Hence it is 7:45 AM on the next morning.

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