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IMO - Mock Test - 4

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IMO - Mock Test - 4
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Weekly Quiz Competition
  • Question 1
    1.15 / -0
    What is the rule for the given number pattern?

    1, 1, 0, 1, 1, 3, 6, 9, 27...
    Solution
    1, 1, 0, 1, 1, 3, 6, 9, 27...

    Here it is:

    Starting with 1:
    1 + 0 = 1 (Add 0)
    1 × 0 = 0 (Multiply 0)
    0 + 1 = 1 (Add 1)
    1 × 1 = 1 (Multiply 1)
    1 + 2 = 3 (Add 2)
    3 × 2 = 6 (Multiply 2) and so on.
    Hence, option (3) is correct.
  • Question 2
    1.15 / -0
    What is the next number in the series?

    221, 332, 443, 554, ?
    Solution
    221
    221 + 111 = 332
    332 + 111 = 443
    In this pattern, the next term is obtained by adding 111 to the previous term.

    So, ? = 554 + 111 = 665
  • Question 3
    1.15 / -0
    If in a certain language, 'LANGUAGE' is written as 'LEGAUGNA', then how will 'PRACTICE' be written in that language?
    Solution
    There are 8 letters in a word.
    The first letter of the word is left intact.
    The other letters are written in reverse order.
  • Question 4
    1.15 / -0
    Zack is taller than Priya but shorter than Rena. Olivia is taller than Rena who is taller than Joe. Who is the tallest?
    Solution
    The characters can be written in their decreasing orders of heights as follows:
    Olivia > Rena > Joe > Zack> Priya
    Or, Olivia > Rena > Joe, Zack > Priya

    Or Olivia > Rena > Zack > Joe > Priya
    Or Olivia > Rena > Zack > Priya, Joe
    Or, Olivia > Rena > Zack > Priya > Joe
    Hence, Olivia is the tallest among all.
    Thus, answer option 1 is correct.
  • Question 5
    1.15 / -0
    Directions: In the following question, a figure marked 'X' is followed by figures (a), (b), (c) and (d) which show the possible water images of figure 'X'. Choose one out of these four figures that shows the correct water image of figure 'X'.

    Solution
    The correct water image of figure 'X' is figure 'c'.

  • Question 6
    1.15 / -0
    In a row of 45 students, Raju is 29th from the left end. What is his rank from the right end?
    Solution


    Ranking of Raju from the right end = 45 - 29 + 1 = 17th
  • Question 7
    1.15 / -0
    Find the missing value.

    5 : 25 : : 7 : ?
    Solution
    According to the pattern of the series, the next numbers are the squares of previous numbers, i.e. x : x2 .
  • Question 8
    1.15 / -0
    Find the next number in the series.

    30, 37, 51, 72, ____?
    Solution
    Each successive number is got by adding the next bigger multiple of 7 to the preceding number.
  • Question 9
    1.15 / -0
    What will come at the place of question mark in the following series?

    Solution
    The line segment from the center of the inner square to the corner of the outer square is shifting to the next side of the inner square and next corner of the outer square in every successive step.
    So, the next shape in the series is
  • Question 10
    1.15 / -0
    In a certain code language, "RED" is coded as 1854, then how will you code "BLUE" in that language?
    Solution
    Each letter is coded as according to the position at which they are in the English alphabet when written in their normal proper order.
  • Question 11
    1.15 / -0
    What would you call OP, if PQ is diameter and O is the centre of the circle?

    Solution
    The longest chord in a circle is called as diameter (PQ) and half of diameter which is PO and OQ is radius. Hence, OP is radius.
  • Question 12
    1.15 / -0
    The number of vertices of figure A is

    Solution
    Vertices are the corners where the edges meet.
    So, there are 6 vertices.
  • Question 13
    1.15 / -0
    Mohan was counting the multiples of 7. He started from 7 and stopped at 91. Which number would be 4th one?
    Solution
    As Mohan started counting in 7's and started from 7,
    7
    14
    21
    28 - 4th number
    35
    42
    49
    56
    63
    70
    77
    84
    91
    Therefore, the 4th number is 28.
  • Question 14
    1.15 / -0
    Which of these is a multiple of 13 and an even number?
    Solution
    13 × 4 is actually 52 which is a multiple of 13 and an even number as well.
  • Question 15
    1.15 / -0
    A worker is paid Rs. 66 when he works for 6 hours. If he works for 23 hours, how much money will he get?
    Solution
    A worker is paid Rs. 66 for 6 hours
    Payment for 1 hour's work = 66 ÷ 6 = Rs. 11
    Hence, payment he will receive for 23 hours = Rs. 11 × 23 = Rs. 253
  • Question 16
    1.15 / -0
    Find the answer after rounding the number 95582 to the nearest 1000.
    Solution
    95582 is rounded up to 96000. This is because the digit in the hundreds place is 5 which is rounded up to the nearest multiple of 1000.
  • Question 17
    1.15 / -0
    Rahul came home from school at 3 : 25 PM. He took a nap for 45 mins and then studied for 1 hour 45 mins. What is the time now?
    Solution
    Rahul came home at 3:25 PM.
    He took a nap for 45 mins, i.e. till 4:10 PM.
    He then studied for 1 hour 45 mins, i.e. till 5:55 PM.
    Thus, time now = 5:55 PM
    Hence, answer option 4 is correct.
  • Question 18
    1.15 / -0
    Which number is the factor of every number?
    Solution
    1 is the smallest factor of a multiple and the greatest factor of a multiple is the multiple itself.
    Every number other than 1 has at least two factors, namely the number itself and 1.
  • Question 19
    1.15 / -0
    What is the hundreds digit in the number 2356.748?
    Solution
    Hundreds place is 2nd position after the decimal point. At this, place there is 4. So, this is the correct answer.
  • Question 20
    1.15 / -0
    A cricket match is started at 9:20 AM and it will take to finish the match. At what time does the match end?
    Solution
    means 3 hours and 45 minutes So, the match ends at 3 hours 45 minutes after 9: 20 am = 1:05 PM.
    Hence, answer option 3 is correct.
  • Question 21
    1.15 / -0
    Mr. Bean had Rs. 5632563 in his account. He decided to make some donation and gave Rs. 25366 to Sadhna Home and Rs. 546322 to Roy's Orphanage Home. How much money is left with him in his account?
    Solution

    Mr. Bean had Rs. 5632563 in his account.
    He gave Rs. 25366 to Sadhna Home and Rs. 546322 to Roy's Orphanage Home.
    Total amount donated = Rs. (25366 + 546322) = Rs. 571688
    Now, finally money left with him = Rs.(5632563 - 571688) = Rs. 5060875

  • Question 22
    1.15 / -0
    In a garden there are 12 children playing and 10 children cycling. How many total children are there in the garden?
    Solution
    Total children = 12 + 10 = 22.
  • Question 23
    1.15 / -0
    The weight of Nakul is 54 kg and the weight of his friend is 32000 gms. How heavier is Nakul as compared to his friend?
    Solution
    Weight of the Nakul = 54 kg
    Weight of his friend = 32000 gms = 32 kg
    Difference in weights = (54 - 32) kg = 22 kg
    Thus, answer option 1 is correct.
  • Question 24
    1.15 / -0
    Mrs. Sharma bought a gold necklace weighing 0.2 kilograms and a diamond necklace weighing 0.025 kilograms. What is the total weight of jewellery (in grams) Mrs. Sharma bought?
    Solution

    Gold necklace = 0.2 kilograms = 200 grams (1kg = 1000g)
    Diamond necklace = 0.025 = 25 grams (1kg = 1000g)
    So, total weight in grams = (200 + 25) grams = 225 grams.

  • Question 25
    1.15 / -0
    If cost of 1 dozen bananas is Rs. 60, what will be the cost of 5 bananas?
    Solution
    Cost of 1 banana = Rs. (60 ÷ 12) = Rs. 5 (1 dozen = 12)
    Cost of 5 bananas = Rs. 5 x 5 = Rs. 25
  • Question 26
    1.15 / -0
    Harry has 4324 bricks to build one room. But, he took out 420 bricks to make one window for the room. How many bricks in total were used to built a room?
    Solution
    Total number of bricks used = 4324 - 420 = 3904
    Thus, answer option 1 is correct.
  • Question 27
    1.15 / -0


    How many edges are there in triangular prism?
    Solution
    There are 9 edges in triangular prism.


  • Question 28
    1.15 / -0
    Joseph collected Rs. 54.62 in a day. How much money will he collect in 2 weeks?
    Solution
    Joseph collected Rs. 54.62 in a day.
    In a week, there are 7 days and in 2 weeks, there are 14 days.
    Total money he collected = Rs. 54.62 x 14 = Rs. 764.68
  • Question 29
    1.15 / -0
    Neha has a mat as shown.



    Find out the difference in the number of red blocks and blue blocks.
    Solution

    From this mat, it can be seen that
    Number of red blocks = 8
    And number of blue blocks = 4
    Therefore, difference = 8 - 4 = 4

  • Question 30
    1.15 / -0
    Ajay bought two pizzas each of which was divided into 8 slices. He and his friends ate 7 slices of pizza. How much of the pizza has been left?
    Solution

    Total number of slices = 16
    Slices eaten = 7
    Slices left = 16 – 7 = 9
    Quantity of pizza left =

  • Question 31
    1.15 / -0
    Find the value of X + W - Y × Z.

    Solution


    X + W - Y × Z = 8 + 4 - 3 × 0 = 8 + 4 - 0 = 12
  • Question 32
    1.15 / -0
    The data represents that 750 vehicles are parked in the evening time in the basement of shopping malls.

    How many more cars are parked than auto rickshaws?
    Solution
    Number of cars parked = 310
    Number of auto rickshaws parked = 250
    Required number = 310 - 250 = 60
    Thus, answer option 1 is correct.
  • Question 33
    1.15 / -0
    Joseph wants to fix square tiles of 4 m2 in the rectangular garden, as shown. How many square tiles are required to cover the rectangular garden?
    Solution
    Area of rectangular garden = 8 m × 6 m = 48 m2

    Area of square tiles = 4 m2

    Number of square tiles used = 48 ÷ 4 = 12
  • Question 34
    1.15 / -0
    Which of the following shape has 5 faces, 9 edges and 6 vertices?
    Solution


    It has 5 faces, 9 edges and 6 vertices.
  • Question 35
    1.15 / -0
    James went for shopping at 4:05 PM. It took him 10 minutes to reach the mall and he spent 55 minutes to buy the clothes. Then, he went to restaurant to eat some snacks and it took him 45 minutes in the restaurant. After this, he went back home and it took him 20 minutes to reach home. What is time when he reached home?
    Solution
    Starting time : 4: 05 PM
    Total time spent : (10 + 55 + 45 + 20) minutes = 130 minutes or 2 hours 10 minutes
    Reaching time = 4:05 + 2 hr 10 minutes = 6 :15 PM
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