Quantitative Aptitude प्रश्न और उत्तर का अभ्यास करें

प्र: In how many ways can letter of the word RAILINGS arrange so that R and S always come together? 1746 0

  • 1
    1260
    सही
    गलत
  • 2
    2520
    सही
    गलत
  • 3
    5040
    सही
    गलत
  • 4
    1080
    सही
    गलत
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उत्तर : 3. "5040"
व्याख्या :

Answer: C) 5040 Explanation: The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is   Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!   But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

प्र: A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present ? 1745 0

  • 1
    36 yrs
    सही
    गलत
  • 2
    38 yrs
    सही
    गलत
  • 3
    40 yrs
    सही
    गलत
  • 4
    42 yrs
    सही
    गलत
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उत्तर : 3. "40 yrs"
व्याख्या :

Answer: C) 40 yrs Explanation: Let the mother's present age be x years. Then, the person's present age = 2/5 x years. (2x/5 + 8) = 1/2 (x + 8) 2(2x + 40) = 5(x + 8) => x = 40.

प्र: A merchant commences with a certain capital and gains annually at the rate of 30 per cent. At the end of 2 years he has worth Rs 10,000. What was the original capital? 1744 0

  • 1
    Rs. 4987
    सही
    गलत
  • 2
    Rs. 5148
    सही
    गलत
  • 3
    Rs. 5917
    सही
    गलत
  • 4
    Rs. 6254
    सही
    गलत
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उत्तर : 3. "Rs. 5917"
व्याख्या :

Answer: C) Rs. 5917 Explanation: Let the Original capital amount be Rs. P Given after 2 years the amount is Rs. 10000 Rate of interest = 30% According to the question, P x 130100 x 130100 = 10000=> P = 1000000169 = 5917 Therefore, the capital amount P = Rs. 5917

प्र: A can complete 9/10 part of a work in 31 days. After that, with the help of B he can complete the remaining work in 4 days. In how many days will  A and B together can complete that work ? 1743 0

  • 1
    36
    सही
    गलत
  • 2
    40
    सही
    गलत
  • 3
    42
    सही
    गलत
  • 4
    38
    सही
    गलत
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उत्तर : 2. "40"
व्याख्या :

Answer: B) 40 Explanation: Remaining work = 1 - 9/10 = 1/10   => A & B together completes 1/10 of work in 4 days   => 1 work can completed in ------ ? days   Let it be x days   =>  4110=x1   => x = 40 days.   Hence, A & B together can complete the work in 40 days.

प्र: The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender? 1740 0

  • 1
    28.5 yrs
    सही
    गलत
  • 2
    29.5 yrs
    सही
    गलत
  • 3
    30.5 yrs
    सही
    गलत
  • 4
    27 yrs
    सही
    गलत
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उत्तर : 1. "28.5 yrs"
व्याख्या :

Answer: A) 28.5 yrs Explanation: According to the given data, (V + R)/2 = 24 Now, after joining of Veerender, V + R + D)/3 = 25.5 Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.

प्र: A polygon has 44 diagonals, then the number of its sides are ? 1739 0

  • 1
    13
    सही
    गलत
  • 2
    9
    सही
    गलत
  • 3
    11
    सही
    गलत
  • 4
    7
    सही
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उत्तर : 3. "11"
व्याख्या :

Answer: C) 11 Explanation: Let the number of sides be n.  The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n>0  nC2 - n = 44 n2 - 3n - 88 = 0  n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0  n = -8 or n = 11.   As n>0, n will not be -8. Therefore, n=11.

प्र: Watson bought a book for Rs. 240 and sold to Johny at a profit  of 50%. Johny wants to sell this book to Shekar so that he earns a profit of 25%. But Shekar is adamant at buying this book at a discount of 10%. What marked price should Johny quote to Shekar so as to achieve desired profit ? 1738 0

  • 1
    Rs. 450
    सही
    गलत
  • 2
    Rs. 360
    सही
    गलत
  • 3
    Rs. 415
    सही
    गलत
  • 4
    Rs. 500
    सही
    गलत
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उत्तर : 4. "Rs. 500"
व्याख्या :

Answer: D) Rs. 500 Explanation: Watson bought the book for Rs. 240 and sold to Johny at a profit of 50%. S.P = C.P(1 + P%/100) => S.P for Watson = C.P for Johny = 240(1 + 50/100) = 240 x 1.5 = Rs. 360 Let Johny quoted the marked price of the book as Rs. M We know, SP = M.P(1 - Discount(%)/100) Here discount = 10% to Shekar, S.P for Johny = M(1 - 10/100) = 0.9M But Johny want to earn 25% profit, => S.P = C.P(1 + P%/100) => 0.9M = 360(1 + 25/100) => M = (360x1.25)/0.9 => M = Rs. 500 Therefore, Johny should quote Rs. 500 as the marked price of the book to get 25% profit and allowing 10% discount to Shekar.

प्र: In a mixture of milk and water the proportion of water by weight was 75%. If in 60 gm of mixture 15 gm water was added, what would be the percentage of water ? (Weight in gm) 1738 0

  • 1
    80%
    सही
    गलत
  • 2
    70%
    सही
    गलत
  • 3
    75%
    सही
    गलत
  • 4
    62%
    सही
    गलत
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उत्तर : 1. "80%"
व्याख्या :

Answer: A) 80% Explanation: Water in 60 gm mixture=60 x 75/100 = 45 gm. and Milk = 15 gm.   After adding 15 gm. of water in mixture, total water = 45 + 15 = 60 gm and weight of a mixture = 60 + 15 = 75 gm.   So % of water = 100 x 60/75 = 80%.

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