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Quantitative Aptitude Test - 8

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Quantitative Aptitude Test - 8
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  • Question 1
    1 / -0.25

    Directions For Questions

    Directions: Go through the given graph and solve the questions based on it. This chart indicates the sales of Herbal Beauty Products Company during a period of time.
     

    ...view full instructions

    For which product did the sales increase by almost 78% from 2000-­2005?

    Solution

    By observation, we can eliminate Hair wash, Hair Vitaliser and Moisturiser because in all three the sales have more than doubled from 2000 to 2005; that is an increase of more than 100%.
    For face cream and face wash, we can calculate the percentage increase:
    Face cream = (1460000748000)748000 x 100 = 95.1 %
    Since face cream is incorrect, the answer has to be face wash so you don't necessarily have to calculate it.
    However, if we do calculate, % increase for face wash = (611000344000)344000 x 100 = 77.6% = 78% approx..

    Hence, the correct option is (b).
  • Question 2
    1 / -0.25

    Directions For Questions

    Directions: Go through the given graph and solve the questions based on it. This chart indicates the sales of Herbal Beauty Products Company during a period of time.
     

    ...view full instructions

    What is the approximate ratio of the percentage growth in sales of Herbal Hair Vitaliser to the percentage growth of the rest of the products in the period 2000-05?

    Solution

    Percentage growth in sales of Herbal Hair Vitaliser = 668.2%
    Percentage growth in sales of the rest of the products = (49910002352000)2352000 x 100 = 112.2 %
    Thus, required ratio = 668112 = 6 : 1 approx..

    Hence, the correct option is (d).
  • Question 3
    1 / -0.25

    Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

    What is the area of the quadrilateral?

    (1) The co-ordinates of the vertices are (1, 5), (2, 3), (5, 4) and (4, 7).

    (2) The intersection of its diagonals is at the origin.

    Solution

    Using statement 1 alone—as co-ordinates of all the vertices are given, so each side and both diagonals can be obtained and using them, area of a quadrilateral can be obtained (by considering it as 2 triangles and for each triangle 2 sides are adjacent sides of a quadrilateral and 3rd side for both is the same diagonal).
    Therefore, statement 1 alone is sufficient. Using statement 2 alone—the given information is inadequate to find the area of the quadrilateral.

    Hence, the correct option is (a).
  • Question 4
    1 / -0.25

    What is the remainder when 1! + 2! +…+ 600! is divided by 6?

    Solution

    All the terms from 3! To 600! contain 3 × 2 = 6.
    So, these are all divisible by 6
    So, we need to find only (1!+2!)6 = 3.

    Hence, the correct option is (c).
  • Question 5
    1 / -0.25

    Yalda bought two MP3 players at the same price and later sold them using two different online sites. She sold one for Rs 1,710 at a loss of 5% and the other for Rs 2,520 at a profit of 20%. What is her total profit or loss percentage?

    Solution

    Let the MP3 player cost x
    Then, as per question,
    1.2x + 0.95x = 1710 + 2520
    Or, 2.15x = 4230
    Or, x = 42302.15 = 1967 approx.
    Therefore, CP of two MP3 players = 1967 × 2 = 3934
    Profit = SP - CP= (1710 + 2520) – 3934 = 296
    Therefore, profit % = 2963934 × 100 = 7.5% approx.

    Hence, the correct option is (d).
  • Question 6
    1 / -0.25

    Find the smallest number which when divided by 12, 15 and 18 leaves a remainder of 1 in each case, but is perfectly divisible by 11.

    Solution

    Long method:
    LCM of 12, 15 and 18 = 180
    Thus, the required number will be 180 or any multiple of 180 plus 1, that is, 181, 361, 541 and so on.
    You will have to divide each of these numbers by 11 to check which one is divisible.
    1441 will be the first such number.
    This method will of course take a lot of time.
    Short method:
    Start backsolving from the answer choices.
    The correct answer has to be divisible by 11.
    Out of the five given options, 1441 is the only one that is divisible by 11, and, hence, it has to be the correct answer.

    Hence, the correct option is (c).
  • Question 7
    1 / -0.25

    How many 5 digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 (without repetition) that are divisible by 8?

    Solution

    Any number is divisible by 8 if its last 3 digits are divisible by 8.
    So, we have to make total possible 5 digit numbers so that last 3 digits are divisible by 8 using the digits 1,2,3,4,5 and 6 and without repetition.

    Hence, the correct option is (d).
  • Question 8
    1 / -0.25

    Find the sum of the interior angles of a nine-sided regular polygon.

    Solution

    Sum of interior angles of a polygon = 180 (n-2) = 180 (9-2) = 180 x 7 = 1260°

    Hence, the correct option is (d).
  • Question 9
    1 / -0.25

    The ratio of the cost price to the selling price of an item is 4 : 5. The item is sold at a profit of Rs 500. What is the selling price of the item?

    Solution

    Let the cost price of item be 4x and selling price be 5x.
    Therefore, profit = SP - CP = 5x - 4x = x = 500.
    Therefore, selling price = 5x = 5 × 500 = 2500.

    Hence, the correct option is (d).
  • Question 10
    1 / -0.25

    The number of female employees in a bank is 7 times the number of male employees in the bank. Which of the following cannot be the total number of employees in the bank?

    Solution

    The ratio of female to male employees in the bank is 1:7.
    Thus, the total number of employees has to be divisible by 1 + 7 = 8.
    54 is the only answer choice that is not divisible by 8 and should be the correct answer.

    Hence, the correct option is (c).
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