Quantitative Aptitude Practice Question and Answer

Q: Find the sum of the all the numbers formed by the digits 2,4,6 and 8 without repetition. Number may be of any of the form like 2,24,684,4862 ? 1675 0

  • 1
    133345
    Correct
    Wrong
  • 2
    147320
    Correct
    Wrong
  • 3
    13320
    Correct
    Wrong
  • 4
    145874
    Correct
    Wrong
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Answer : 2. "147320"
Explanation :

Answer: B) 147320 Explanation: Sum of 4 digit numbers = (2+4+6+8) x P33 x (1111) = 20 x 6 x 1111 = 133320  Sum of 3 digit numbers = (2+4+6+8) x P23 x (111) = 20 x 6 x 111 = 13320  Sum of 2 digit numbers = (2+4+6+8) x P13 x (11) = 20 x 3 x 11 = 660  Sum of 1 digit numbers = (2+4+6+8) x P03 x (1) = 20 x 1 x 1 = 20    Adding All , Sum = 147320

Q: Rajitha invested 25% more than Santhosh. Santhosh invested 30% less than Raju, who invested Rs. 6,000. What is the ratio of the amount that Rajitha invested to the total amount invested by all of them together ? 1671 0

  • 1
    25 : 114
    Correct
    Wrong
  • 2
    35 : 103
    Correct
    Wrong
  • 3
    15 : 108
    Correct
    Wrong
  • 4
    41 : 94
    Correct
    Wrong
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Answer : 2. "35 : 103"
Explanation :

Answer: B) 35 : 103 Explanation: Santhosh's investment = 6000 x 70/100 = Rs.4200Rajitha's investment = 4200 x 5/4 = Rs.5250Therefore, total amount invested = 6000 + 4200 + 5250 = Rs.15450.Required ratio = 5250 : 15450 = 35 : 103.

Q: What is the interest rate per annum, if a sum of money invested at compound interest amount to Rs. 2400 in 3 years and in 4 years to Rs. 2,520? 1670 0

  • 1
    3.5%
    Correct
    Wrong
  • 2
    4%
    Correct
    Wrong
  • 3
    5%
    Correct
    Wrong
  • 4
    6.5%
    Correct
    Wrong
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Answer : 3. "5%"
Explanation :

Answer: C) 5% Explanation: Let 'R%' be the rate of interest From the given data, 25202400 = 1 + R10041 + R1003⇒1 + R100 = 6360⇒R = 5   Hence, the rate of interest R = 5% per annum.

Q: Find the sum of the Arithmetic Series upto 36 terms 2, 5, 8, 11,... 1670 1

  • 1
    3924
    Correct
    Wrong
  • 2
    1962
    Correct
    Wrong
  • 3
    1684
    Correct
    Wrong
  • 4
    1452
    Correct
    Wrong
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Answer : 2. "1962"
Explanation :

Answer: B) 1962 Explanation: Arithmetic Series ::   An Arithmetic Series is a series of numbers in which each term increases by a constant amount.   How to find the sum of the Arithmetic Sequence or Series for the given Series ::   When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.   That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term   Here Last term is given by an = a1 + n-1d where d = common difference   Now given Arithmetic Series is    2, 5, 8, 11,...   Here a1 = 2,  d = 3, n = 36    Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107    Now, Sum to 36 terms is given by   S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962       Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Q: A shopkeeper sold a mobile phone for Rs. 12000. Had he offered discount of 10% on the selling price, there would be a loss of 4%. What is the cost price of that Mobile phone? 1668 0

  • 1
    Rs. 12,500
    Correct
    Wrong
  • 2
    Rs. 11,250
    Correct
    Wrong
  • 3
    Rs. 12,750
    Correct
    Wrong
  • 4
    Rs. 11,680
    Correct
    Wrong
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Answer : 2. "Rs. 11,250"
Explanation :

Answer: B) Rs. 11,250 Explanation: Given that SP = Rs. 12000 - 10%  = Rs. 10,800 Loss% = 4 We know that, C.P = 100/(100 - Loss%) x 100 => 100/100-4 x 10800 => 1080000/96 C.P = Rs. 11,250

Q: Simplify the fraction? 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) 1668 0

  • 1
    -4 (1/17)
    Correct
    Wrong
  • 2
    5 (2/17)
    Correct
    Wrong
  • 3
    -2 (1/17)
    Correct
    Wrong
  • 4
    3 (3/17)
    Correct
    Wrong
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Answer : 1. "-4 (1/17)"
Explanation :

Answer: A) -4 (1/17) Explanation: Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)  It can be written as  (5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17)  -1 + 0 - 3 (1/17) = ? => ? = -4 (1/17)

Q: What are the Multiples of 6 and the Common Multiples of 4 and 6? 1666 0

  • 1
    12, 34, 42
    Correct
    Wrong
  • 2
    12, 18, 36,
    Correct
    Wrong
  • 3
    6, 4, 14
    Correct
    Wrong
  • 4
    4, 8, 16
    Correct
    Wrong
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Answer : 2. "12, 18, 36,"
Explanation :

Answer: B) 12, 18, 36, Explanation: The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60. The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

Q: If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ? 1666 0

  • 1
    119.21 sq cm
    Correct
    Wrong
  • 2
    115.395 sq cm
    Correct
    Wrong
  • 3
    104.214 sq cm
    Correct
    Wrong
  • 4
    111.241 sq cm
    Correct
    Wrong
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Answer : 2. "115.395 sq cm"
Explanation :

Answer: B) 115.395 sq cm Explanation: Because each vertice of the square is the center of a circle(1/4) part of the total area of each circle inside of the square.(3/4) part of the total area of each circle outside of the square.Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.

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