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IMO - Mock Test - 5

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IMO - Mock Test - 5
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Weekly Quiz Competition
  • Question 1
    1.15 / -0
    What will come in place of the question mark (?) in the given series?

    Solution


    Hence, option (3) is correct.
  • Question 2
    1.15 / -0
    Find the odd one out among the following figures.
    Solution
    All the figures, except (4), have 4 line segments.

    Option (4) has 5 line segments.
  • Question 3
    1.15 / -0
    Which is the correct meaningful word among the given options formed using all the letters G, E, N, D, A, R? [Use all the letters once.]
    Solution
    The correct word (using all the given letters) can be 'DANGER', meaning 'harm'.
  • Question 4
    1.15 / -0
    In a certain language, CAB is written as 312, how will you write DEAF in that language?
    Solution
    Here, C = 3, A = 1, B = 2
    Similarly, DEAF can be written as D = 4, E = 5, A = 1, F = 6.
  • Question 5
    1.15 / -0
    Find the next number in the series:

    23, 19, 17, 13, .....
    Solution
    The given series contains prime numbers in reverse and the next number after 13 will be 11. So, this is the correct option.
  • Question 6
    1.15 / -0
    Rishi starts his journey by walking towards south and turns left, and again walks for sometime. After walking for a while, he turns right and stops. Which direction is he facing now?
    Solution
    Let's suppose Rishi started from Point A and stopped at Point B.



    The direction he is facing is south.
  • Question 7
    1.15 / -0
    Find the figure out of the given options in which figure 'X' is embedded:
    Solution


    The figure (X) is embedded in the figure (3).
  • Question 8
    1.15 / -0
    If a kid is ranked 7th from the top in a class of 25 students, then what will be his rank from the bottom?
    Solution
    As he is 7th from the top, this implies there are (25 - 7) = 18 students below him.
    Thus, his position from the bottom = 19th.
    Hence, answer option 3 is correct.
  • Question 9
    1.15 / -0
    How many lines of symmetry are there in the given shape?

    Solution
    There are 2 lines of symmetry.
  • Question 10
    1.15 / -0
    Directions: In the following question, choose the correct mirror-image of figure (A) from amongst the four alternatives (a), (b), (c) and (d) given along with it.

    Solution
  • Question 11
    1.15 / -0
    Find the digit in tenths place in 976.14.
    Solution
    The digit in the tenths place in 976.14 is 1.
  • Question 12
    1.15 / -0
    Estimate the sum by rounding each number to the nearest ten and then adding.

    22 + 72 = ?
    Solution
    Rounding numbers: 22 = 20, 72 = 70
    Adding them will give: 20 + 70 = 90
  • Question 13
    1.15 / -0
    How many circles are used to make this shape?

    Solution
    Three circles are used to make this shape.
  • Question 14
    1.15 / -0
    A brick company arranges bricks on a square wooden crate to transport them easily. The stack of bricks on the crate is 9 bricks high. There are 4 bricks placed along each side of the crate. How many bricks are there in each crate?
    Solution
    Number of bricks = 4 x 4 x 9 = 16 x 9 = 144
  • Question 15
    1.15 / -0


    Find the value of P + R × Q, if Q is 2 more than R.
    Solution


    P = 11
    R = 3
    and Q = 5
    So, P + R × Q = 11 + 3 × 5 = 26
  • Question 16
    1.15 / -0
    Manav has 15 buckets of chocolates. One sample bucket is shown below.

    If he distributes maximum possible number of chocolates equally among his 10 friends, how many chocolates are left with him?

    Solution
    Number of chocolates in 1 bucket = 7
    Number of chocolates in 15 buckets = 15 × 7 = 105
    Now, if he distributes chocolates equally among 10 people, then



    Number of chocolates left with him = 5
  • Question 17
    1.15 / -0
    How much will 3 litres of alcohol be in millilitres?
    Solution
    1 litre = 1000 ml
    3 litres = 3 x 1000 ml = 3,000 ml
  • Question 18
    1.15 / -0
    Raheem is preparing the survey data record, in which one column is for population of cities of a state. In the first row, the first figure is 54,736. Which digit is at thousands place in the given figure?
    Solution
    The figure 54,736 has 4 at its thousands place.
    Thus, answer option 2 is correct.
  • Question 19
    1.15 / -0
    What is the sum of LXXVIII and XLVII?
    Solution
    As, L = 50, C = 100, V = 5, I = 1
    So,
    LXXVIII = 78
    XLVII = 47

    Now, 78 + 47 = 125
    and 125 can be written as 100 + 20 + 5 = CXXV
    So,
    LXXVIII + XLVII = CXXV
  • Question 20
    1.15 / -0
    Two groups of students are there, consisting of 4 students each. Group A has a total weight of 124 kg and Group B has a total weight of 148 kg. Which group weighs more and by how much?
    Solution
    Group B weighs more than Group A by 24 kg.
    (148 - 124) kg = 24 kg
  • Question 21
    1.15 / -0
    Ria's height is 1.3 metres. Find her height in centimetres.
    Solution
    1 m = 100 cm
    1.3 m = 1.3 x 100 cm = 130 cm
  • Question 22
    1.15 / -0


    The adjoining figure represents the number of books in a library. How many books are there of Science and English combined?
    Solution
    Number of books of English and Science combined = 200 + 300 = 500
  • Question 23
    1.15 / -0
    Cherry bought books worth Rs. 790, and gave the shopkeeper Rs. 1,000. How much money will Cherry get in return?
    Solution
    Cost of books Rs. 790
    Money paid = Rs. 1,000 Money in return = Rs. 1,000 - Rs. 790 = Rs. 210
  • Question 24
    1.15 / -0
    At what time will Shalini's school end, if it begins at 8:00 am for 6 hours?
    Solution
    If the school begins at 8:00 am, and is open for 6 hours, then it will end at 2:00 pm.
  • Question 25
    1.15 / -0
    A tank can hold 50 litres of water. How much water will be left if 13 litres of water is used?
    Solution
    By using subtraction: (50 - 13) litres = 37 litres
  • Question 26
    1.15 / -0
    Jam bought a hat worth Rs. 45 and a T-shirt worth Rs. 780, and gave the shopkeeper Rs. 1,000. What amount will the shopkeeper return to him?
    Solution
    Sum of cost of the T-shirt and the hat = Rs. 825
    Money returned to him = Rs. 1,000 - Rs. 825 = Rs. 175
  • Question 27
    1.15 / -0
    Jack bought 550 chocolates on Monday. On Tuesday, he bought 370 more chocolates. On Wednesday, 245 of the chocolates were stolen. How many chocolates were left with Jack?
    Solution
    Number of chocolates Jack bought on Monday = 550Number of chocolates Jack bought on Tuesday = 370Number of chocolates stolen on Wednesday = 245

    Number of chocolates left with Jack = 550 + 370 - 245 = 920 - 245 = 675
  • Question 28
    1.15 / -0
    Out of the given shapes, which one represents the shaded portion as ?
    Solution
    means 1 out of 4 parts is coloured. This is in case of option 3.
  • Question 29
    1.15 / -0
    If Anand travelled 17 km, then how much distance did he travel in metres?
    Solution
    As, 1 km = 1,000 m

    So, 17 km = 17 x 1,000 m = 17,000 m
  • Question 30
    1.15 / -0


    What is the perimeter of the given figure in centimetres (1 inch = 2.54 cm)?
    Solution
    Perimeter = Sum of all sides = (4 + 4 + 2 + 2 + 2 + 2) inches = 16 inches
    As, 1 inch = 2.54 cm
    So, 16 inches = 2.54 x 16 cm = 40.64 cm
  • Question 31
    1.15 / -0
    How many triangles are there in the following figure?

    Solution


    Let the different elements be marked as shown above.The triangles comprising 1 element each are 1, 2, 5, 6, 7, 8, 11, 12, 13 and 14, i.e. 10 triangles.
    The triangles comprising 2 elements each are (3 and 7), (4 and 8), (7 and 8), (13 and 14), (1 and 2), (15 and 13), and (16 and 14), i.e. 7 triangles.
    The triangles comprising 3 elements each are (1, 3 and 7), (2, 4 and 8), (7, 9 and 13), (10, 8 and 14), i.e. 4 triangles.
    The triangles comprising 4 elements each are (3, 4, 7 and 8), and (13, 14, 15 and 16), i.e. 2 triangles
    The triangles comprising 6 elements each are 7, 9, 13, 14, 10 and 8, i.e. 1 triangle.
    Therefore, total number of triangles = 10 + 7 + 4 + 2 + 1 = 24
    Hence, option (4) is correct.
  • Question 32
    1.15 / -0
    Find the missing number in the following sequence.

    20, 60, 30, 70, __, 80, 50
    Solution
    The sequence followed is:

    + 40, - 30, + 40, - 30 .................

    20 + 40 = 60
    60 - 30 = 30
    30 + 40 = 70
    70 - 30 = 40 (Required number)
    40 + 40 = 80
    80 - 30 = 50
  • Question 33
    1.15 / -0
    How many prime factors would be there in between 1 and 47?
    Solution
    List of prime factors in between 1 and 47: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43
  • Question 34
    1.15 / -0
    of 52 + of 30 + a = 31 Calculate the value of a.
    Solution
    × 52 + × 30 + a = 31 13 + 18 + a = 31 31 + a = 31 a = 31 – 31 = 0
  • Question 35
    1.15 / -0
    From the following pictorial representation of data, find out the difference between the number of jeans of Jai and Ellie.
    Solution
    Number of jeans of Ellie = 1 x 23 = 23
    Number of jeans of Jai = 4 x 23 = 92
    Difference between their numbers of jeans = 92 - 23 = 69
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