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IMO - Mock Test - 1

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IMO - Mock Test - 1
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  • Question 1
    1.15 / -0
    In a bucket, there are 11 balls, out of which 5 are red and 6 are blue. What fraction of the balls are red?
    Solution
    Number of red balls = 5
    Total number of balls = 11
    Fraction of red balls =
    Alternate solution:
    This situation is similar to the following case.



    Total parts = 5 (Red) + 6(Blue) = 11
    Fraction of parts that are red =
  • Question 2
    1.15 / -0
    There are 9 boxes and we can put 7 sweets in a box. Calculate the total number of sweets in 9 boxes.
    Solution
    Number of sweets in one box = 7
    Number of sweets in 9 boxes = 9 × 7 = 63
    Alternate Solution:
  • Question 3
    1.15 / -0
    The cost of 5 shirts is Rs. 550. Find the cost of 1 shirt.
    Solution
    Cost of 5 shirts = Rs. 550
    Cost of 1 shirt = Rs. = Rs. 110
    Alternate solution:

  • Question 4
    1.15 / -0
    Write the numeral for 'three thousand four hundred and fifty seven'.
    Solution
    Three thousand four hundred and fifty seven is 3000 + 400 + 50 + 7 = 3457.
  • Question 5
    1.15 / -0
    The difference between the place values of 9 and 7 in 9574 is _________.
    Solution
    Place value of 9 = 9 × 1000 = 9000
    Place value of 7 = 7 × 10 = 70
    Required difference = 9000 - 70 = 8930
  • Question 6
    1.15 / -0


    What fraction of the figure is unshaded, if it is divided into parts?
    Solution
    Total parts = 12
    Unshaded parts = 5
    So, unshaded fraction =
  • Question 7
    1.15 / -0
    Write 1435 in words.
    Solution
    1435 = 1000 + 400 + 30 + 5
    So, it is 'One thousand four hundred and thirty five'.
  • Question 8
    1.15 / -0
    Which of the following shapes has exactly 8 vertices?
    Solution
    A vertex (plural: vertices) is a point where two or more lines meet.
    Hence, from among the given shapes, the cube has 8 vertices.
  • Question 9
    1.15 / -0
    The product of 8 and a number is 192. What is that number?
    Solution
    Let the number be 'x'.
    ATQ, 8 × x = 192 So, x = 192/8 = 24
  • Question 10
    1.15 / -0
    If 96 baskets of guavas weigh 4008 kilograms, what will be the weight of 48 baskets of guavas?
    Solution
    Weight of 96 baskets of guavas = 4008 kg
    (As 48 is half of 96, so weight gets halved.)
    Weight of 48 basket of guavas = 4008 ÷ 2 = 2004 kg
  • Question 11
    1.15 / -0
    Katrina went for a walk at 3:50 am and returned after 2 hours 15 minutes. At what time did she return?
    Solution
    3:50 am + 2 hours 15 minutes = 5 am + 65 minutes = 6 am + 5 minutes = 6:05 am
  • Question 12
    1.15 / -0


    Red shade shows the chocolate pieces eaten by Rohit. What fraction has he eaten, if size of each piece is the same?
    Solution
    Total parts = 8
    Eaten/Shaded parts = 3
    Therefore, fraction of eaten part =
  • Question 13
    1.15 / -0
    James goes for a walk and covers around 3 km everyday. How many metres does he walk in a week?
    Solution
    Number of days in a week = 7
    Distance covered by James in 1 day = 3 km
    Total distance covered in 3 days = 7 × 3 km = 21 km
    As 1 km = 1000 m
    So, distance covered in one week = 21,000 m
  • Question 14
    1.15 / -0
    How would the given block model look from the top?

    Solution
    The given image would look as if three boxes are placed side to side.
    Hence, option (3) is correct.
  • Question 15
    1.15 / -0
    Maria started her journey from his home to his uncle's house at 10:46 am. If she took 58 minutes to reach her uncle's house, find out the time at which she reached.
    Solution
    Time at which Maria started journey = 10:46 am
    Time taken to reach her uncle's house = 58 minutes
    Time at which she reached = 10 am + 104 minutes = 10 am + 60 minutes + 44 minutes = 11:44 am [As 60 minutes = 1 hour]
  • Question 16
    1.15 / -0
    Find the odd one out from the following:
    Solution
    17 is the odd one out because this is the only number from among the given ones which is not a multiple of 3.
  • Question 17
    1.15 / -0


    How many triangles are there in the above figure?
    Solution
    There are 5 triangles in total.

  • Question 18
    1.15 / -0
    There are 21 students sitting in a classroom. If 15 more join them, then how many total students will be sitting in the classroom?
    Solution
    Number of students (in beginning) = 21
    Number of students joined later = 15
    New number of students in classroom = 21 + 15 = 36
  • Question 19
    1.15 / -0
    Which of the following fractions is equal to 0.25?
    Solution
    0.25 = (dividing numerator and denominator by 25)
  • Question 20
    1.15 / -0
    A restaurant completes 9 servings in an hour. In how many hours will it complete 369 servings?
    Solution
    Time taken for 9 servings = 1 hour
    Time taken for 369 servings = 369 ÷ 9 hours = 41 hours
  • Question 21
    1.15 / -0
    Amit rides 48 m in a ground on his bicycle. How much distance does he cover in 'mm'?
    Solution
    Distance covered by Amit = 48 m
    1 m = 1000 mm
    So, distance covered in mm = 48 × 1000 mm = 48,000 mm
  • Question 22
    1.15 / -0
    If a number is increased by 6, the result is 31. What is the number?
    Solution
    Let number = x
    ATQ,
    x + 6 = 31
    x = 31 - 6
    x = 25
  • Question 23
    1.15 / -0
    Shakira has 50 chocolates. She needs to divide chocolates among 10 friends. How many chocolates will each friend get?
    Solution
    Total number of chocolates = 50
    Number of friends = 10
    So, number of chocolates each friend gets = 50/10 = 5
  • Question 24
    1.15 / -0
    A man runs 8 km everyday in the morning. How much will he run in a week?
    Solution
    Distance travelled in a day = 8 km
    Distance travelled in a week (7 days) = 8 × 7 = 56 km
  • Question 25
    1.15 / -0
    Sherry went on a 52 km journey. She divided the distance travelled evenly over 4 days. How many metres did Sherry walk each day?
    Solution
    Total distance covered in 4 days = 52 km
    Distance covered in 1 day = km = 13 km
    Distance covered (in metres) = 13,000 m [As 1 km = 1000 m]
  • Question 26
    1.15 / -0
    Seema bought 38 kg and 500 g of rice flour, and 30 kg and 40 g of wheat flour. How many grams of total flour did she buy?
    Solution
    We know, 1 kg = 1000 g
    Amount of rice flour = 38 kg and 500 g = 38,000 g + 500 g = 38,500 g
    Amount of wheat flour = 30 kg and 40 g = 30,000 g + 40 g = 30,040 g
    Total amount of flours (in grams) = 68,540 g
  • Question 27
    1.15 / -0
    If a bag weighs 96 kg, how much does it weigh in grams?
    Solution
    Volume of bag = 96 kg
    As 1 kg = 1000 g
    96 kg = 96 × 1000 g = 96,000 g
    So, volume of bag (in grams) = 96,000 g
  • Question 28
    1.15 / -0
    Wallet 1 contains Rs. 392 and wallet 2 contains Rs. 5 and 19,200 paise. How many paise do both the wallets have?
    Solution
    Re. 1 = 100 paise
    Paise in wallet 1 = 39,200
    Paise in wallet 2 = 500 + 19,200 = 19,700
    Total paise in both the wallets = 58,900 paise
  • Question 29
    1.15 / -0
    If in a certain code language, 'END' is written as 'MEMNMD', then how will 'JUG' be written in that same code?
    Solution
    Code for 'END': M is followed by every letter of 'END'.
    Therefore, JUG will be written as M followed by every letter of JUG, i.e. MJMUMG.
  • Question 30
    1.15 / -0
    What is the name of the following shape?

    Solution
    The shape is of parallelogram.
  • Question 31
    1.15 / -0
    Find the value of, ifand.
    Solution
    It is given thatand.
    The value of 2 caps is 20. So, the value of 1 cap will be 20 divided by 2.
    i.e.
    Then, cap plus bottle is equal to 15 and the value of 1 cap is 10.
    So, value of bottle = 5 i.e.
    Now,
    As, the value of gift is 10 and the value of bottle is 5,
    So, value of cake is 2. (After putting the values of bottle and gift)
    i.e.
  • Question 32
    1.15 / -0
    Riya served half of the ice-cream to the guests in the lunch. After dinner, she put the remaining 4475 g of ice-cream on some dessert. How many kilograms of ice cream did she have in the beginning?
    Solution
    Half of the ice-cream is 4475 g.
    So, total quantity of ice-cream = 4475 × 2 g = 8950 g
    As 1000 g = 1 kg

    So, 8950 g = kg = 8.95 kg

    Hence, total quantity of ice-cream (in kilograms) = 8.95 kg
  • Question 33
    1.15 / -0
    The following is the representation of a pictogram:



    How many more carrots does Arjun have than Raghunath?
    Solution
    Number of carrots with Arjun = 5 × 12 = 60
    Number of carrots with Raghunath = 2 × 12 = 24
    Difference between the numbers of carrots = 60 – 24 = 36
  • Question 34
    1.15 / -0
    Directions: In the following question, a figure marked (A) is followed by four figures (a), (b), (c) and (d) which show the possible water-images of the figure (A). Choose one out of these four figures which shows the correct water-image of the figure (A).

    Solution
    Correct Answer: (c)
  • Question 35
    1.15 / -0
    Rahul's birthday is 15 days before the last day of February month of a leap year. When is Rahul's birthday?
    Solution
    An extra day is added in a leap year—February 29—which is called an intercalary day or a leap day.
    So, last day of February month of a leap year = 29th
    Rahul's birthday = 29 - 15 = 14th February
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