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IMO - Mock Test - 2

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IMO - Mock Test - 2
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Weekly Quiz Competition
  • Question 1
    1.15 / -0
    If in a certain code, 'COPY' is written as CCCOCPCY, then how will 'BOOK' be written in that code?
    Solution
    The code 'C C C O C P C Y' is written using the following rule:
    The first letter of the given word is written before every letter of the word COPY.
    Therefore, BOOK will be written as
    B B B O B O B K.
  • Question 2
    1.15 / -0
    Look carefully at the sequence of symbols to find the pattern.



    Which of the following symbols can come in place of the question mark (?) ?
    Solution
    In the given sequence, the shaded part of the circle is getting smaller in every subsequent figure till it vanishes and only an unshaded circle is left. Then, it appears again in the form of a whole black-shaded circle and continues to vanish.
    So, this option is be the correct answer.
  • Question 3
    1.15 / -0
    Find the water image of the given figure.


    Solution
  • Question 4
    1.15 / -0


    'A' represents the number of students who like ice-cream and 'B' represents the number of students who like chocolates. Which of the following shaded regions shows the number of students who like both ice-cream and chocolates?
    Solution

    As, the shaded portion is common to both sets A and B, so this is the correct answer.
  • Question 5
    1.15 / -0
    Complete the following number series:

    5, 15, 9, 27, 21, 63, 57, ___
    Solution
    This is an alternating multiplication and subtraction series. First multiply by 3, and then subtract 6.

    5 × 3 = 15
    15 – 6 = 9
    9 × 3 = 27
    27 – 6 = 21
    21 × 3 = 63
    63 – 6 = 57
    57 × 3 = 171
  • Question 6
    1.15 / -0
    Which of the following numbers lies in all the three figures?
    Solution
    3 lies in the rectangle, in the circle and in the triangle. Hence, it is the correct answer.
  • Question 7
    1.15 / -0
    Of the given alternatives, find the figure which contains figure (Z) as its part.

    Solution
    The question figure is embedded in option 4 as follows:

  • Question 8
    1.15 / -0


    How many triangles are there in the above figure?
    Solution

    ABC, BCE, BCD, BDE, BGF

    There are 5 triangles in total.
  • Question 9
    1.15 / -0
    Rahul ranks 18th from the top in a class of 52 students. What will be his rank from the bottom?
    Solution
    Number of students ranked below Rahul = ( 52 – 18) = 34
    Rahul is 35th from the the bottom.
  • Question 10
    1.15 / -0
    Look at this series: A2, __, C8, D16, E32

    Which number should fill the blank?
    Solution

    The letters move ahead by 1; the numbers are multiplied by 2.

    The required answer is B4.

  • Question 11
    1.15 / -0


    Solve for the missing value:
    Solution
    Value of two coloured shapes is 10. So, value of one coloured shape will be:

    Then, value of one coloured shape plus one uncoloured shape is equal to 15.


    So putting the value of coloured shape, we get the value of uncoloured shape as

    So,
  • Question 12
    1.15 / -0
    Find the fraction of green marbles.

    Solution
    Total number of marbles = 10
    Number of green marbles = 4

    Fraction of marbles which are green = =
  • Question 13
    1.15 / -0
    Which of the following shows of its complete shape?

    Solution
    B shows of its complete shape, as in that, only 3 parts are shaded out of 4 equal parts.
  • Question 14
    1.15 / -0
    Write 1222 as Roman Numeral.
    Solution
    1222 = 1000 + 200 + 20 + 2
    As, M = 1000, C = 100, X = 10, I = 1
    Now, 200 = CC
    20 = XX
    and 2 = II
    Hence, 1222 = MCCXXII
  • Question 15
    1.15 / -0
    In how many ways can the number 64 be written as a product of two even numbers?
    Solution
    Factors of 64 are
    1 x 64
    2 x 32
    4 x 16
    8 x 8
    Two even numbers whose product is 64:
    2 x 32
    4 x 16
    8 x 8
  • Question 16
    1.15 / -0
    Which of the following fractions is the largest?
    Solution
    Making denominator same as 8 in all the fractions, we get

    = =

    = =


    = =




    Now, as denominator is the same, the fraction with highest numerator is largest.

    Hence, is the largest.
  • Question 17
    1.15 / -0
    What is the difference between place values of digit 4 and digit 6 in the number 24,563?
    Solution
    Place value of 4 in 24563 = 4000
    Place value of 6 in 24563 = 60
    Difference = 4000 – 60 = 3940
  • Question 18
    1.15 / -0
    Find out the difference between 78 and the number that will be formed after interchanging the digits.
    Solution
    After interchanging, the number becomes 87.
    So, the difference is 87 – 78 = 9
  • Question 19
    1.15 / -0
    Find the missing digit in the calculation given below:

    2A58 × 7 = 18606
    Solution
    The multiplication follows as:

    Now, 7 × A + 4 = 46
    Hence, A = 6.
  • Question 20
    1.15 / -0
    How many factors does 76 have which are not prime numbers?
    Solution
    Factors of 76 are 1, 2, 4, 19, 38, 76.
    Factors excluding prime numbers = 1, 4, 38, 76 (1 is neither prime nor composite).
  • Question 21
    1.15 / -0
    If there are 12,245 people in Stadium 1 and 7124 people in Stadium 2, then how many more people are there in Stadium 1 than in Stadium 2?
    Solution
    Number of people in Stadium 1 = 12,245
    Number of people in Stadium 2 = 7124
    Number of people in Stadium 1 is more than that in Stadium 2 = 12,245 - 7124 = 5121
  • Question 22
    1.15 / -0
    Rohit bought 68 bananas, 98 apples and 114 pears. Out of them, 21 bananas, 32 apples and 44 pears got rotten. How many fruits were left in total if he threw out the rotten fruits?
    Solution
    Total fruits = 68 + 98 + 114 = 280
    Number of rotten fruits = 21 + 32 + 44 = 97
    Number of fruits left = 280 - 97 = 183
  • Question 23
    1.15 / -0
    If Raman ate 5 slices out of 8 slices of a pizza, then how much pizza is left. Write your answer in fraction.
    Solution
    Total number of slices = 8
    Number of slice eaten by Raman = 5
    Number of slices left = 8 - 5 = 3
    So, fraction of pizza left =
  • Question 24
    1.15 / -0
    Ravi has a box of chocolates same as given below. How many vertices does the box have?

    Solution
    The given box of chocolate is a triangular prism. A triangular prism has 6 vertices.
  • Question 25
    1.15 / -0
    Ramesh travelled 6024 m in a day to reach his home. How much would be that in kilometres?
    Solution
    Total distance travelled = 6024 m
    As, 1km = 1000m

    So, 1 m = km

    or, 6024 m= km = 6.024 km
  • Question 26
    1.15 / -0
    The length and breadth of a rectangular ground are 10 m and 12 m, respectively. A girl runs 4 laps around the ground. How much distance does she cover?
    Solution
    Perimeter of rectangular ground = 10 + 12 + 10 + 12 = 44 m
    Total distance covered by girl = Perimeter x 4 = 44 x 4 = 176 m
  • Question 27
    1.15 / -0
    Ankush goes for cycling at 4:30 pm. He comes back home after 1 hour and 30 minutes. Which of the following clocks shows the time he comes home?
    Solution
    Time at which he goes for cycling = 4:30 pm
    Time when he comes back home = 4:30 + 1:30 = 6:00 pm
    Hence, option (3) is correct.
  • Question 28
    1.15 / -0
    If the cost of a candy is Re. 0.50, then find the cost of 30 candies (in rupees).
    Solution
    Cost of 1 candy = Re. 0.50
    Cost of 30 candies = 0.50 x 30 = Rs. 15
  • Question 29
    1.15 / -0
    Rohan has forty-five thousand three hundred seven rupees. How much money does he have in numeric value?
    Solution
    Forty-five thousand three hundred seven is written in numeric form as: Rs. 45,000 + Rs. 300 + Rs. 7 = Rs. 45,307
  • Question 30
    1.15 / -0
    If x = 2 and y = 2 , then find the value 3x + 4y.
    Solution
    Using x = 2 and y = 2 in 3x + 4y, we get
    = 3 (2) + 4 (2) = 6 + 8 = 14
  • Question 31
    1.15 / -0


    Piyush is fencing his house garden, shaped as shown above, with an aluminium wire. How much wire does he need to fence the garden?
    Solution

    Total length of the boundary that needs to fenced = 5 m + 10 m + 12 m + 5 m + 7 m + 5 m = 44 m
    So, he needs 44 m of aluminium wire to fence the garden.
  • Question 32
    1.15 / -0
    Find the value of C - B × A + D.

    Solution
    A x 1 = 2
    A = 2 -----------(1)
    Now, 2 + 0 = 2. So, D = 0

    B + 0 = 1
    B = 1--------------(2)

    A times C = B 0
    Substitute the value of A as 2 from (1) and value of B from (2):
    2 x C = 10
    C =
    C = 5

    Now,



    C - B × A + D = 5 - 1 × 2 + 0 = 5 - 2 = 3
  • Question 33
    1.15 / -0
    John went to watch a movie with his wife and two children. The cost of the tickets for him and his wife was Rs. 70 each, and the cost of tickets for both his children was Rs. 50 each. He got a discount of Rs. 40 on all the tickets. What was the total cost of all the tickets?
    Solution

    Cost of tickets for John and his wife =

    Rs. 70 + Rs. 70 = Rs. 140

    Cost of tickets for children = Rs. 50 + Rs. 50 =

    Rs. 100

    Now, the total cost = Rs. 140 + Rs. 100 = Rs. 240

    But there is a discount of Rs. 40 on the total price of tickets

    So, Rs. 240 – Rs. 40 = Rs. 200

  • Question 34
    1.15 / -0
    The given graph shows number of cars parked in a mall during different times of a day.



    What is the fraction of number of cars parked at 8' o clock to that parked at 2' o clock?
    Solution
    Number of cars parked at 2' o clock = 40
    Number of cars parked at 8' o clock = 10

    Fraction of number of cars parked at 8' o clock to that parked at 2' o clock = =
    Therefore, the fraction of number of cars parked at 8' o clock to that parked at 2' o clock is .
  • Question 35
    1.15 / -0
    Look carefully at the sequence of symbols to find the pattern.



    Select the option that will replace the question mark (?) in the pattern.
    Solution
    Look carefully at the number of dots in each part. The first part goes from five to three to one. The second part goes from one to three to five. The third part repeats the first part.
    Hence, the correct option is (1).
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