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IMO - Mock Test - 3

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IMO - Mock Test - 3
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Weekly Quiz Competition
  • Question 1
    1.15 / -0
    Which number will come next in the series given below?

    17, 34, 102, 408,
    Solution
    The series goes as: 17 x 2 = 34
    34 x 3 = 102
    102 x 4 =408
    408 x 5 = 2040
    The next number will be 2040.
  • Question 2
    1.15 / -0
    In a certain code language, MONDAY is written as "YONDAM". How will FRIDAY be written in the same code language?
    Solution
    MONDAY is written as 'YONDAM', where just the first and the last letters have been swapped with each other while the other letters remain unchanged in their respective positions.
    So, FRIDAY will be coded as 'YRIDAF'.
    Thus, answer option 4 is correct.
  • Question 3
    1.15 / -0
    Luke is standing to the east of Paul, Paul is standing to the north of Camron. If Sam is standing to the south of Camron, then in which direction is Sam standing with respect to Luke?
    Solution
    Sam is standing to the southwest of Luke.
  • Question 4
    1.15 / -0
    Which of the following figures is embedded in the given figure?

    Solution
    The correct figure embedded in the given shape is .
    This is shown as

    Hence, answer option 2 is correct.
  • Question 5
    1.15 / -0
    If Alfie is standing at thirteenth position in a queue starting from either end, then how many total persons are there is the queue?
    Solution
    Total number of persons in queue = 13 + 13 – 1 = 26 - 1 = 25
  • Question 6
    1.15 / -0
    What should come in place of the blank in the following series?

    EGI, KMO, QSU, ____, CEG
    Solution
    The whole series runs in the order of English alphabet with one letter missed every time. It starts with 5th letter, i.e. E. The next letters are 7 (G), 9, 11, 13, and so on. So, the groups are: EGI: (5, 7, 9)KMO: (11, 13, 15)QSU: (17, 19, 21)WYA: (23, 25, 1)CEG: (3, 5, 7)
  • Question 7
    1.15 / -0
    Choose the alternative which closely resembles the horizontal mirror image of the given combination.

    Solution

    This is the correct option.
  • Question 8
    1.15 / -0
    Sally wants to know the number of triangles present in the following figure. Help her find that out.

    Solution

    The figure may be labelled as shown. The simplest triangles are PKL, QKM, KLM and LMR i.e., 4 in number. There is only one triangle PQR composed of four components. Thus, there are 4 + 1 = 5 triangles in the given figure.
  • Question 9
    1.15 / -0
    John made the pattern as shown below:



    Which of the following options will fit in place of the question marks?
    Solution
    The pattern as shown below in the figure is being repeated.

  • Question 10
    1.15 / -0
    Round off 4851 to the nearest thousand.
    Solution
    For rounding off numbers to nearest 1000, one needs to look at hundreds place. If it is 4 or below, the number rounds down and if it is 5 or above, the number rounds up. So, 4851 rounds up to nearest 1000 as 5000.
  • Question 11
    1.15 / -0
    What must be added to 847 to get 2506 as the answer?
    Solution
    Let the missing number be x.
    So, x + 847 = 2506
    x = 2506 - 847
    x = 1659
  • Question 12
    1.15 / -0
    Kilie is driving a radio-controlled model truck on a footpath along the outer boundary of a park, length of which is 34 yards and width is 29 yards. He drives it for two rounds. What is the total approximate distance that the truck has covered?
    Solution
    Perimeter of path = (34 + 34 + 29 + 29) yards = 126 yards
    Total distance covered in two rounds = 126 × 2 = 252 yards
  • Question 13
    1.15 / -0
    Out of the following, which number must be multiplied by 4 to get the product as 976?
    Solution
    976 ÷ 4 = 244. Thus, 244 must be multiplied with 4 to get 976.
    Thus, answer option 2 is correct.
  • Question 14
    1.15 / -0
    Which of the following pairs of numbers can be multiplied together so as to get the product as a multiple of 6?
    Solution
    4 x 3 is the pair which gives a multiple of 6 as the product i.e., 12. Because 6 x 2 = 12.
  • Question 15
    1.15 / -0
    What is the sum of and ?
    Solution
    = 1
    1 + = =
    Thus, answer option 1 is correct.
  • Question 16
    1.15 / -0
    Dylan buys a piece of cloth which is 19 feet long. What is the length of the piece of cloth in inches?
    Solution
    1 foot = 12 inches
    Length of cloth = 19 feet
    Length of cloth in inches = (19 x 12 )inches = 228 inches.
  • Question 17
    1.15 / -0
    Subtract 567 from 689 and write the answer in Roman Numerals.
    Solution
    689 – 567 = 122
    122 in Roman Numerals is written as CXXII.
    Thus, answer option 3 is correct.
  • Question 18
    1.15 / -0
    It takes Riley 20 seconds to ice one fairy cake. How many cakes can she ice in 10 minutes?
    Solution
    First step is to make the units same,
    1 minute = 60 seconds
    10 minutes = (10 x 60 ) = 600 seconds
    Number of fairy cakes iced in 20 sec = 1
    Number of fairy cakes iced in 600 sec = 600 ÷ 20 = 30
  • Question 19
    1.15 / -0
    Harish ate th of the cake and Kareem ate th of the cake. How much of the cake did they both eat altogether?
    Solution
    Harish ate th of cake
    Kareem ate th of cake
    Altogether, they ate = th of cake = th of cake
    Thus, answer option 1 is correct
  • Question 20
    1.15 / -0
    There are total 949 crayons in stock in a company out of which 654 have the new label. How many crayons have the old label?
    Solution

    Total number of crayons = 949

    Number of crayons with new label = 654

    Number of crayons with old label = 949 – 654 = 295.

  • Question 21
    1.15 / -0
    How many multiples of 12 are there which are greater than 60 but lesser than 144?
    Solution
    12 x 5 = 60
    Thus, 60 itself is a multiple of 12.
    Next multiple of 12 is 60 + 12 = 72
    Subsequent multiples are found by adding 12 to the previous multiple.
    Thus, multiples of 12 greater than 60 and lesser than 144 are: 72, 84, 96, 108, 120 and 132
    Thus, there are 6 multiples in all.
    Thus, answer option 3 is correct.
  • Question 22
    1.15 / -0
    If the weight of a car is 475 kg, then find out the weight of five such cars and write the answer in Roman Numerals.
    Solution
    Weight of 1 car = 475 kg
    Weight of 5 such cars = 5 X 475 kg = 2375 kg
    M = 1000, C = 100, L = 50, V = 5, X = 10
    2375 = 2000 + 300 + 50 + 25
    2000 = 1000 + 1000 = (M + M)
    300 = (100 + 100 + 100) = (C + C + C)
    50 = (L)
    20 = (X + X)
    5 = V
    2375 kg = ( MMCCCLXXV) kg
  • Question 23
    1.15 / -0
    Kritika buys 2 books for Rs. 532. How much total money does she need, if she wants to buy 7 books?
    Solution
    Cost of 2 books = Rs. 532
    Cost of 1 book = Rs. (532 ÷ 2) = Rs. 266
    Cost of 7 books = Rs. (266 × 7) = Rs. 1862
  • Question 24
    1.15 / -0
    Mr. Ramesh buys a model house, the boundary wall of which is rectangular in shape. If the perimeter of the base of the boundary wall is 150 cm and the width is 25 cm, then what will be its length?
    Solution
    Perimeter = 2(l + b)
    150 cm = 2(l + 25) cm
    75 cm = l + 25 cm
    l = 50 cm
  • Question 25
    1.15 / -0
    Jamie has Rs. 856.85 and spends Rs. 436.65 on shopping. How much money is he left with after shopping?
    Solution
    856.85 - 436.65
    = Rs. 420.20
  • Question 26
    1.15 / -0
    Julia buys 12.8 litres of soft drink for a party. If she pours equal amounts of soft drink in 4 containers, how many millilitres will there be in each container?
    Solution
    Total quantity of soft drink = 12.8 l
    Amount needs to be poured equally in 4 containers.
    Accordingly, 12.8 ÷ 4 = 3.2 l
    As answer needs to be millilitres, 1 litre = 1000 ml
    3.2 x 1000 = 3200 ml
  • Question 27
    1.15 / -0
    In an oil tanker, there is 45 litres of oil but 35 litres is taken out for factory usage. Now, how many millilitres of oil is left in the tanker?
    Solution
    Total volume of oil in the tank = 45 litres
    Oil used = 35 litres
    Volume of oil left = (45 - 35) litres = 10 litres
    1 litre = 1000 ml
    10 litres = 10,000 ml
    The volume in ml = 10,000 ml.
  • Question 28
    1.15 / -0
    Ellie wants to purchase chocolates. The cost of a chocolate is Rs. 13, and there are 17 chocolates in one pack. Ellie needs to purchase 12 packs. What is the total amount Ellie needs to pay?
    Solution
    Cost of 1 chocolate is Rs. 13
    In one pack, there are 17 chocolates.
    Total cost of 1 chocolate pack is = Rs. 13 x 17 = Rs. 221
    Cost of 12 packs = Rs. 221 x 12 = Rs. 2652
  • Question 29
    1.15 / -0
    Rahul wants to go to his aunt's house which is in Amritsar city. If it takes hours to reach there and he leaves his house at 1:30 pm, then choose the time at which he reaches there.


    Solution
    First we will simplify . That will be 4:30 hours. If he starts travelling at 1:30 pm and travels for 4:30 hours, then he will reach there at 1:30 + 4:30 = 6:00 pm
  • Question 30
    1.15 / -0


    In the diagram above, the circle represents Mars packing area, triangle represents Gems packing area, rectangle represents Eclairs packing area and square represents Nutties packing areas. Study the diagram carefully and answer the question given below.

    In which area are Nutties, Gems and Mars all packed together?
    Solution


    6 represents the area in which Nutties, Gems and Mars are packed together.
  • Question 31
    1.15 / -0
    Sana wanted to make some cupcakes. She bought 125 kg of flour and her brother bought another 60 kg of flour. How much flour did she originally have if now she has 308 kg of flour?
    Solution
    125 kg + 60 kg = 185 kg (308 – 185 ) kg = 123 kg
  • Question 32
    1.15 / -0
    If a floor is made up of square bricks of length 2 cm each, then what would be the perimeter of the floor?

    Solution
    Perimeter = The distance around a shape = 2(8 + 8 + 3 + 3) cm = 44 cm
  • Question 33
    1.15 / -0
    Study the following graph and answer the following question:



    How many marks were scored by Josh?
    Solution
    Josh scored 35 marks. The bars in the graph represent scores of each student, and Josh's bar extends up to the middle of 30 and 40. So, Josh's score is 35.
  • Question 34
    1.15 / -0
    Study the following graph and answer the following question:



    What is the difference between the highest marks scored and the lowest marks scored?
    Solution
    Highest marks scored = 40
    Lowest marks scored = 20
    Difference = 40 – 20 = 20
  • Question 35
    1.15 / -0
    Kate has a garden, as shown in the figure, which she wants to fence. What is the total length of fence required by her?

    Solution
    To find total length of the fence required, we need to add all the sides.



    Perimeter of the garden = 12 m + 15 m + 3 m + 10 m + 9 m + 5 m = 54 m
    Thus, 54 m of fence is required for the garden.
    Hence, answer option (1) is correct.
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