Quantitative Aptitude Practice Question and Answer

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Answer : 2. "20%"
Explanation :

Answer: B) 20% Explanation: Let the Cost of Production of the article = 100 Then, Labour Cost = 20 Raw Material = 10 Other Expenditure = 100 - 10 – 20 = 70 Selling Price of the article  = 120 After increasing Labour and Raw material cost by 40% & 20% respectively, New Labour cost = 28 New Raw material cost = 12 New Cost of Production = 70 + 28 + 12 = 110 Then, New SP = 110% of 120 = 120 x 110/100 = 132 => New Gain = 132 - 110 = 22 => New Profit % = 22 x 100/110 = 20%

Q: What is the smallest number by which 2880 must be divided in order to make it into a perfect square ? 2139 0

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    2
    Correct
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    3
    Correct
    Wrong
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    4
    Correct
    Wrong
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    5
    Correct
    Wrong
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Answer : 4. "5"
Explanation :

Answer: D) 5 Explanation: By trial and error method, we get2880/3 = 960 is not a perfect square2880/4 = 720 is not a perfect square2880/5 = 576 which is perfect square of 24Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

Q: K is 4 times as fast as L and working together, they can complete a work in 24 days. In how many days can L alone complete the work ? 2139 0

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    30 days
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    40 days
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    120 days
    Correct
    Wrong
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    80 days
    Correct
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Answer : 1. "30 days"
Explanation :

Answer: A) 30 days Explanation: Given K=4L  -->K+L = 4L+L = 5L   These 5L people can complete the work in 24 days, which means L alone can do the work in (24 x 5)=120 days.   Hence, K alone can do the work in 120/4= 30 days.

Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 2137 0

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    6
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    8
    Correct
    Wrong
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    4
    Correct
    Wrong
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    9
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

Q: A number is increased by 20% and then decreased by 20%, the final value of the number is ? 2137 0

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    increase by 2%
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    decrease by 3%
    Correct
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    decrease by 4%
    Correct
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    increase by 5%
    Correct
    Wrong
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Answer : 3. "decrease by 4%"
Explanation :

Answer: C) decrease by 4% Explanation: Here, x = 20 and y = - 20Therefore, the net % change in value=x + y + xy100 %= 20 + -20 + 20 × -20100%  or  - 4% Since the sign is negative, there is a decrease in value by 4%.

Q: What is the angle made by the hour hand and the minute hand, if the clock shows 9:15 pm ? 2137 0

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    165 degrees
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    172.5 degrees
    Correct
    Wrong
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    112.5 degrees
    Correct
    Wrong
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    125.5 degrees
    Correct
    Wrong
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Answer : 2. "172.5 degrees"
Explanation :

Answer: B) 172.5 degrees Explanation: The minute hand angle is the easiest since an hour (i.e. 60 minutes) corresponds to the entire 360 degrees, each minute must correspond to 6 degrees. So just multiply the number of minutes in the time by 6 to get the number of degrees for the minute hand. Here 15 minutes corresponds to 15 x 6 = 90 degrees Next, you have to figure out the angle of the hour hand. Since there are 12 hours in the entire 360 degrees, each hour corresponds to 30 degrees. But unless the time is EXACTLY something o'clock, you have to write the time as a fractional number of hours rather than as hours and minutes.Here the time is 9:15 which is (9 + 15/60) = 37/4 hours. Since each hour corresponds to 30 degrees, we multiply 30 to get (37/4)(30) = 277.5 degrees. Since the hour hand is at 277.5 degrees and the minute hand is at 90 degrees, we can subtract to get the angle of separation. 277.5 - 90 = 187.5 =~ 360 - 187.5 = 172.5 degrees.

Q: Swetha when get married to Sudeer her age was 3/4 th of her husband's age. After 12 years her age became 5/6 th of her husband's age. Then what's the age of Swetha when she got married ? 2135 0

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    18 years
    Correct
    Wrong
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    21 years
    Correct
    Wrong
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    23 years
    Correct
    Wrong
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    17 years
    Correct
    Wrong
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Answer : 1. "18 years"
Explanation :

Answer: A) 18 years Explanation: At the time of marriage, let Sudeer's age be 4x, then Swetha's age is 3x12 years after:Age of Sudeer = 4x+12Age of Swetha = 3x+12Now the equation is 3x+12=5/6(4x+12)Solving equation we get x=6Hence Swetha got married at the age of 18.

Q: The letters of the word PROMISE are to be arranged so that three vowels should not come together. Find the number of ways of arrangements? 2134 0

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    4320
    Correct
    Wrong
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    4694
    Correct
    Wrong
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    4957
    Correct
    Wrong
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    4871
    Correct
    Wrong
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Answer : 1. "4320"
Explanation :

Answer: A) 4320 Explanation: Given Word is PROMISE. Number of letters in the word PROMISE = 7 Number of ways 7 letters can be arranged = 7! ways Number of Vowels in word PROMISE = 3 (O, I, E) Number of ways the vowels can be arranged that 3 Vowels come together = 5! x 3! ways   Now, the number of ways of arrangements so that three vowels should not come together = 7! - (5! x 3!) ways = 5040 - 720 = 4320.

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