Quantitative Aptitude प्रश्न और उत्तर का अभ्यास करें

प्र: Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ? 3625 0

  • 1
    11.8
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  • 2
    12.9
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  • 3
    13.7
    सही
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  • 4
    14.5
    सही
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उत्तर : 4. "14.5"
व्याख्या :

Answer: D) 14.5 Explanation: Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.k/l = 5/x ------ (1)k = m - 18 ------ (2)m + 9 = 47 ------ (3)k - l = m ----- (4)(3) => m = 47 - 9 = 38 years(2) => k = 38 -18 = 20 years(1) => 20/l = 5/x => l = 4x(4) => 4x - 20 = 38=> 4x = 58 => x = 14.5

प्र: Find the next number in the series   143 143 136 110 ? 3624 0

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    91
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  • 2
    35
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  • 3
    47
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  • 4
    69
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उत्तर : 3. "47"
व्याख्या :

Answer: C) 47 Explanation: The next number in the series is 143 143 136 110       0    7      26 (Differences)  13 - 1 , 23 - 1, 33 - 1, 43 - 1,...Now the next number is given by110 - (43 - 1) = 110 - 63 = 47.

प्र: A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in  ? 3622 0

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    17 + 4/7 days
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  • 2
    13 + 1/3 days
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  • 3
    15 + 3/2 days
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  • 4
    16 days
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उत्तर : 2. "13 + 1/3 days"
व्याख्या :

Answer: B) 13 + 1/3 days Explanation: C alone can finish the work in 40 days.As given C does half as much work as A and B together => (A + B) can do it in 20 days(A + B)s 1 days wok = 1/20.A's 1 days work : B's 1 days Work = 1/2 : 1 = 1:2(given)A's 1 day’s work = (1/20) x (1/3) = (1/60) [Divide 1/20 in the raio 1:2]B's 1 days work = (1/20) x (2/3) = 1/30(A+B+C)'s 1 day's work = (1/60) + (1/30) + (1/40) = 9/120 = 3/40 All the three together will finish it in 40/3 = 13 and 1/3 days.

प्र: The average weight of a group of boys is 30 kg. After a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ? 3621 0

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    6
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  • 2
    8
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  • 3
    4
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  • 4
    5
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उत्तर : 3. "4"
व्याख्या :

Answer: C) 4 Explanation: Let the number of boys in the group originally be x.Total weight of the boys = 30xAfter the boy weighing 35 kg joins the group, total weight of boys = 30x + 35So 30x + 35 + 31(x + 1) = > x = 4.

प्र: What is 90 days from today?   Hints : Today is 20th January 2017, Sunday 3619 0

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    18th April, Friday
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  • 2
    20th April, Saturday
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  • 3
    21th April, Sunday
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  • 4
    19th April, Saturday
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उत्तर : 2. "20th April, Saturday"
व्याख्या :

Answer: B) 20th April, Saturday Explanation: Given Today is 20th January 2017, Sunday In january, we have 31 days February - 28 days (Non leap year) March - 31 days April - 30 days => Remaining days => 31 - 20 = 11 in Jan + 28 in Feb + 31 in Mar = 11 + 28 + 31 = 70 days More 20 days to complete 90 days => upto 20th April   Therefore, after 90 days from today i.e, 20th Jan 2017 is 20th Apr 2017.   Now, the day of the week will be  90/7 => Remainder '6' As the day starts with '0' on sunday  6 => Saturday.   Required day is 20th April, Saturday.

प्र: fifteen persons are sitting around a circular table facing the centre. What is the probability that three particular persons sit together ? 3618 0

  • 1
    3/91
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  • 2
    2/73
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  • 3
    1/91
    सही
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  • 4
    3/73
    सही
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उत्तर : 1. "3/91"
व्याख्या :

Answer: A) 3/91 Explanation: In a circle of n different persons, the total number of arrangements possible = (n - 1)!Total number of arrangements = n(S) = (15 – 1)! = 14 !Taking three persons as a unit, total persons = 13 (in 4 units)Therefore no. of ways for these 13 persons to around the circular table = (13 - 1)! = 12!In any given unit, 3 particular person can sit in 3!. Hence total number of ways that any three person can sit =n(E) = 12! X 3!Therefore P (E) = probability of three persons sitting together = n(E) / n(S) = 12! X 3 ! / 14!= 12!x3x2 / 14x13x12! = 6/14x13 = 3/91

प्र: P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ? 3617 0

  • 1
    120
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  • 2
    240
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  • 3
    360
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  • 4
    180
    सही
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उत्तर : 1. "120"
व्याख्या :

Answer: A) 120 Explanation: 1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone) so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1 so R share = (1/10) x 1200 = 120.

प्र: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 3617 0

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    A = 48000 B = 40000 C = 30000
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  • 2
    A = 30000 B = 40000 C = 48000
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  • 3
    A = 30000 B = 48000 C = 40000
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  • 4
    A = 40000 B = 48000 C = 30000
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उत्तर : 2. "A = 30000 B = 40000 C = 48000"
व्याख्या :

Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000

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