Quantitative Aptitude प्रश्न और उत्तर का अभ्यास करें

प्र: What is the probability that a leap year has 53 Saturdays and 52 Sundays ? 2585 0

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    1/7
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    2/7
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    1/2
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  • 4
    3/2
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उत्तर : 1. "1/7"
व्याख्या :

Answer: A) 1/7 Explanation: A leap year has 52 weeks and two daysTotal number of cases = 7Number of favourable cases = 1i.e., {Friday, Saturday} Required Probability = 1/7

प्र: If (2a + 3b)/(5a - 3b) = 23/5 , then the value of ba is ? 2580 0

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    5
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    4
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    20
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    28
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उत्तर : 3. "20"
व्याख्या :

Answer: C) 20 Explanation: Given (2a + 3b)/(5a - 3b) = 23/5 => 10a + 15b = 115a - 69b=> 105a = 84b => 5a = 4b a/b = 4/5 => a=4 & b=5=> bxa = 5x4 = 20.

प्र: Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ? 2579 1

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    22 sec
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    32 sec
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    42 sec
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    52 sec
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उत्तर : 2. "32 sec"
व्याख्या :

Answer: B) 32 sec Explanation: Given that, 1st train speed = 62 km/hr  2nd train speed  = 44 km/hr Hence the relative speed of two trains is : 62-44 = 18 km/hr = 18×518 m/s = 5 m/s. There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in,    time = distancespeed = 85+755 = 32 sec.

प्र: If 5th March, 2005 is Monday, what was the day of the week on 5th March, 2004 ? 2575 0

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    Sunday
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    Monday
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    Tuesday
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    Wednesday
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उत्तर : 1. "Sunday"
व्याख्या :

Answer: A) Sunday Explanation: The year 2004 is a leap year. So, it has 2 odd days. But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only. The day on 5th March, 2005 will be 1 day beyond the day on 5th March, 2004. Given that, 5th March, 2005 is Monday. 5th March, 2004 is Sunday (1 day before to 5th March, 2005).

प्र: A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son? 2572 0

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    50 yrs
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    25 yrs
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    72 yrs
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    40 yrs
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उत्तर : 1. "50 yrs"
व्याख्या :

Answer: A) 50 yrs Explanation: Let the daughter age be 'x'Therefore, Son age = 5x, Mother age = 25x, Person age = 50x. Thus we get, x+5x+25x+50x = 8181x = 81x = 1 Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.

प्र: The angles of a quadrilateral are in the ratio of 2:4:7:5. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle ? 2572 0

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    80 degrees
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    60 degrees
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    120 degrees
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    40 degrees
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उत्तर : 2. "60 degrees"
व्याख्या :

Answer: B) 60 degrees Explanation: Given the angles of a quadrilateral are in the ratio of 2:4:7:5Let the angles of a quadrilateral are 2x, 4x, 7x, 5xBut we know that sum of the angles = 360 degrees.=> 2x + 4x + 7x + 5x = 360=> x = 20Therfore, the smallest angle of the quadrilateral = 2x = 2x20 = 40 degrees.One of the angle of the triangle = 2 x 40 = 80 degreesThe other angle is 180 - (40 + 80) = 60 degrees. Hence the second largest angle of the triangle is 60 degrees.

प्र: What is the remainder when 1523+2323 is divided by 19 ? 2570 0

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    4
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    3
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    1
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    0
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उत्तर : 4. "0"
व्याख्या :

Answer: D) 0 Explanation: 1523+2323=19-423+19+423    The remainder on dividing by 19 will be -423+423= 0.

प्र: 80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ? 2569 0

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    120 lit
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    140 lit
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    110 lit
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    150 lit
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उत्तर : 4. "150 lit"
व्याख्या :

Answer: D) 150 lit Explanation: To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres. => the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity. i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too. Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.

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