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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
    1.2 / -0
    Solution
  • Question 2
    1.2 / -0
    If Anita goes for swimming class on every 7th day in the month of April, starting from April 2, then which date would be her last day of practice for the month?

    Solution
    As per the given data, the dates of April on which she goes for swimming are: 2, 9, 16, 23, and 30.
    So, the last date of the practice will be 30th April.
  • Question 3
    1.2 / -0
    Complete the pattern:

    6, 24, 54, 96, 150, ?
    Solution
    3 × 2 = 6
    6 × 4 = 24
    9 × 6 = 54
    12 × 8 = 96
    15 × 10 = 150
    18 × 12 = 216
  • Question 4
    1.2 / -0
    What is the mirror image of the following figure?

    Solution
    Mirror image is an image that has its parts arranged with a reversal of right and left, as it would appear if seen in a mirror. This is the correct mirror image.
  • Question 5
    1.2 / -0
    The following picture represents the children who like to travel by bus, train and aeroplane:



    How many children like to travel both by bus and aeroplane?
    Solution
    The two circles which represent the number of students travelling by bus and aeroplane are shown.
    The region which is common to both represents the children who like to travel both by bus and aeroplane.
    This region has the number 5 that gives us the total number of students.
  • Question 6
    1.2 / -0
    Rearrange the following letters to make a single word and then choose the category to which it belongs:

    E I N L C P
    Solution
    E I N L C P = PENCIL; which is a stationery item.
  • Question 7
    1.2 / -0
    Which of the following options replaces the question mark in the given figure-matrix?

    Solution
    The logic here is to add 2 in both the letter and the number of the 1st column to get the corresponding term of the 2nd column, and add 3 in both the letter and the number of the 2nd column to get the corresponding term of the 3rd column.
    A + 2 = C and 2 + 2 = 4
    After that, C + 3 = F and 4 + 3 = 7
    Similarly, K + 2 = M and 11 + 2 = 13 (answer)
    After that, M + 3 = P and 13 + 3 = 16
    Similarly, for the third row, C + 2 = E and E + 3 = H; 7 + 2 = 9 and 9 + 3 = 12
    Therefore, M13 is the correct answer.
  • Question 8
    1.2 / -0
    Haider said to Henry, "George is the son of the only son of my mother."
    How is Haider related to George?
    Solution


    From the flow chart, Haider is the father of George.
  • Question 9
    1.2 / -0
    Which of the following will replace the question mark?

    EFG : VUT : : JKL : ?
    Solution
    There are three alphabetical series. Notice that E is the 5th letter of the English alphabet and V is the 5th last letter of the English alphabet. Similarly, F and G are the 6thand 7th letters, and U and T are the 6thand 7th last letters. J, K and L are the 10th, 11thand 12th letters from the starting, and Q, P and O are the 10th, 11thand 12th last letters.
    Thus, answer option 1 is correct.
  • Question 10
    1.2 / -0
    Which of the following terms will replace the question mark in the given series?

    9, 3, 1, , ?
    Solution
    This is a simple division series; each number is one-third of the previous number. In other terms to say, the number is divided by 3 successively to get the next result.

    9 ÷ 3 = 3, 3 ÷ 3 = 1, 1 ÷ 3 =

    So, next term =
  • Question 11
    1.2 / -0
    What will come in place of the question mark?

    0, 1, 8, 27, 64, 125, ?
    Solution
    03 = 0, 13 = 1,23 = 8, 33 = 27, 43 = 64, 53 = 125, 63 = 216
  • Question 12
    1.2 / -0
    Aleena went for a picnic with her friends on 5th April (Wednesday). She will go for a movie on 21st April. What day will it be on 21st April?
    Solution
    According to 7 days cycle of a week, it will be Wednesday on 5th, 12th, 19th and 26th of April.
    If 19th is a Wednesday, 21st will be a Friday.
  • Question 13
    1.2 / -0


    Which of the following options should come in place of the question mark so that it is logically prudent?
    Solution


    The positions of figure 1 and 2 are interchanged. Figure 2 is rotated by an angle of 180o. This results in figure 5.
    Applying the same logic to figures 3 and 4, we will get the figure as shown in answer option 4, which will replace the question mark.
  • Question 14
    1.2 / -0
    Which of following options will replace the question mark?

    23 : 529 : : ? : 729
    Solution
    23 : 529 : : ? : 729
    529 = 23 × 23
    So, 729 = 27 × 27
  • Question 15
    1.2 / -0
    Find the odd one out of the following:
    Solution
    Except Foot, all other units are metric units. Foot is an imperial unit of measurement.
  • Question 16
    1.2 / -0
    Identify the shape of the mirror in the dressing table.

    Solution
    Since the mirror in this dressing table has 6 sides, so it is a hexagon.
  • Question 17
    1.2 / -0
    The circumference of a circle is 176 cm, find the diameter of the circle.
    Solution
    Circumference of the circle = 2πr
    176 = 2πr
    r = 28 cm
    So, diameter of the circle = 2r = 56 cm
  • Question 18
    1.2 / -0
    What fraction of the squares is shaded?

    Solution
    Fraction of the squares shaded =
  • Question 19
    1.2 / -0
    Raveena can bake 34 cupcakes in 2 hours. How many cupcakes can she bake in 9 hours?
    Solution
    Number of cupcakes baked by Raveena in 2 hours = 34
    Number of cupcakes baked by Raveena in 1 hour = 34 ÷ 2 = 17
    Number of cupcakes baked by Raveena in 9 hours = 17 × 9 = 153
  • Question 20
    1.2 / -0
    Jack went for a party, which started at 10:15 p.m. and came back after 04:20 hours. At what time did the party end?
    Solution
    Starting time = 10:15 p.m.
    Duration = 4:20
    End time = 10:15 + 4:20 = 14:35
    End time in analog format = 14:35 – 12 = 2:35 p.m.
  • Question 21
    1.2 / -0
    If x is a number, then the equation for the statement: 'Half of the number added to 10 is 15' is:
    Solution
    Let x be the number.
    Half of the number =
    According to the question,

  • Question 22
    1.2 / -0
    The marks obtained by 40 students of a class in an examination are given below:

    8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34

    How many students got marks in the multiple of 4?
    Solution
    Multiple is a number that when divided by another number does not give any remainder. So, there are 4 multiples of 4.
    (8, 24, 24, 48)
  • Question 23
    1.2 / -0
    If the perimeter of a rectangle is 88 cm and the length of the rectangle is thrice its breadth, find out the area of the rectangle.
    Solution
    Let the breadth be b and the length be 3b.
    Perimeter = 2(l + b)
    88 cm = 2(3b + b)
    44 cm = 4b
    b = cm
    b = 11 cm
    l = 3b
    l = 3 × 11 cm = 33 cm
    Area of the rectangle = 11 cm × 33 cm = 363 cm2
  • Question 24
    1.2 / -0
    The angles in a quadrilateral are in ratio 2 : 5 : 8 : 15. Find the sum of the largest and the smallest angles.
    Solution
    2x + 5x + 8x + 15x = 360°
    30x = 360°
    x = 12°
    2 x 12° = 24°
    5 x 12° = 60°
    8 x 12° = 96°
    15 x 12° = 180°
    Sum of the smallest and the largest angles = 24° + 180° = 204°
  • Question 25
    1.2 / -0
    Find the LCM and HCF of the following numbers:

    24, 12, 20
    Solution
    24 = 2 × 2 × 2 × 3
    12 = 2 × 2 × 3
    20 = 2 × 2 × 5
    LCM = 2 × 2 × 2 × 3 × 5 = 120
    HCF = 4
  • Question 26
    1.2 / -0
    What is the half of the quarter of one-eighth of 256?
    Solution
    One-eighth of 256 = 256 ÷ 8 = 32
    Quarter of 32 = 32 ÷ 4 = 8
    So, half of 8 = 8 ÷ 2 = 4
  • Question 27
    1.2 / -0
    What is the product of first five prime numbers?
    Solution
    A prime number has exactly 2 factors, 1 and the number itself.
    First five prime numbers = 2, 3, 5, 7, 11
    Product = 2 × 3 × 5 × 7 × 11
    = 2310
    [1 is not a prime number]
  • Question 28
    1.2 / -0
    What is the value of the Roman numeral MMMMCCLVI?
    Solution
    MMMM CC L VI
    4000 200 50 6

    = 4256
  • Question 29
    1.2 / -0
    What is the value of 27,324 rounded to the nearest ten thousand?
    Solution
    For rounding to the nearest ten thousand, look at the digit at thousands place. If it's more than 5, round up, if it's less than 5, round down.
    In 27,324, digit at thousands place is 7, so we will round it up i.e., 30,000.
  • Question 30
    1.2 / -0
    What fraction of a day is 6 hours?
    Solution
    Number of hours in a day = 24
    Fraction for 6 hours in a day =
    Both these numbers 6 and 24 can be divided by 6, so it will be simplified to .
  • Question 31
    1.2 / -0
    What is the value of + 2.354?
    Solution
    First, convert this fraction into a decimal number



    Now, add these two decimal numbers
    0.25 + 2.354 = 2.604
  • Question 32
    1.2 / -0
    What will be the perimeter of a regular pentagon whose side is 10 cm?
    Solution
    A pentagon has 5 sides.
    Length of one side = 10 cm
    Perimeter = Length × Number of sides = 10 cm × 5 = 50 cm
  • Question 33
    1.2 / -0
    If D = 12, O = 6, L = 25, then what is the value of D ÷ O + L x L?
    Solution
    According to BODMAS,
    12 ÷ 6 + 25 x 25 = 2 + 625 = 627
  • Question 34
    1.2 / -0
    A number has 8 tens, 9 ones, 5 tenths, 7 hundredths and 3 thousandths. What is the number?
    Solution
    89.573 has 8 tens, 9 ones, 5 tenths, 7 hundredths and 3 thousandths.
  • Question 35
    1.2 / -0
    Calculate: 4,89,736 – 18 × 16,739
    Solution
    According to BODMAS,
    18 × 16,739 = 3,01,302
    So, 4,89,736 – 3,01,302 = 1,88,434
  • Question 36
    1.2 / -0
    A biker starts riding at 7:05 AM and reaches his destination after 13 hours and 35 minutes. At what time will he reach his destination according to analog clock?
    Solution
    Starting time = 7:05 AM
    Duration of journey = 13 hours 35 minutes. = 13:35
    End time = 13:35 + 7:05 = 20:40
    According to analog clock = 20:40 – 12:00
    = 8:40 PM
  • Question 37
    1.2 / -0
    What will be the price of 135 chocolates, if price of one chocolate box is Rs. 780 and each box contains 12 chocolates?
    Solution
    Price of 12 chocolates = Rs. 780

    Price of 1 chocolate = = Rs. 65

    So, price of 135 chocolates = 135 × 65
    = Rs. 8,775
  • Question 38
    1.2 / -0
    Jack received Rs. 13,880 a month for tutoring 4th grade students. One-fourth of his earnings came from Science tutoring. How much money did he make tutoring Science?
    Solution
    Total earnings = Rs. 13,880

    One-fourth = Rs. = Rs. 3,470
  • Question 39
    1.2 / -0
    A can contains 440 ml of soft drink. The total quantity of soft drink in 25 such cans will be
    Solution
    Quantity of soft drink in 1 can = 440 ml
    Quantity of soft drink in 25 such cans = 440 × 25 ml = 11,000 ml
    As, 1 ml = 0.001 litres
    So, Required quantity = 11,000 × 0.001 = 11 litres
  • Question 40
    1.2 / -0
    A machine manufactures 2,825 screws a day. After a month (30 days), the total manufactured screws are distributed equally among five dealers in different parts of the city. The number of screws that each dealer gets is
    Solution
    A machine manufactures 2,825 screws a day.
    So, in 30 days, machine manufactures = 2,825 × 30 = 84,750 screws

    The number of screws that each dealer gets = = 16,950 screws
  • Question 41
    1.2 / -0
    Mr. Ajay gets a commission of Rs. 50 on selling one blanket. If he earned Rs. 950 as commission, then how many blankets did he sell?
    Solution
    Total commission earned = Rs. 950
    Commission earned on selling one blanket = Rs. 50
    Number of blankets sold = 950 ÷ 50 = 19
  • Question 42
    1.2 / -0
    If a person eats 750 gm of broilers in one day, then how many grams of broilers will two friends with the same capacity eat in one week?
    Solution
    Capacity of one person for one day = 750 gm
    Capacity of two persons for one day = 1500 gm
    Capacity of 2 persons for 7 days = 1500 gm × 7
    = 10,500 gm
  • Question 43
    1.2 / -0
    Sushil has Rs. 593.40 and his brother Ram has Rs. 605.60. His elder sister Ruhi has twice as much money as Sushil has. Ram decides to give Ruhi his money as well. How much money does she have now?
    Solution
    Sushil has Rs. 593.40.
    Ram has Rs. 605.60.
    Ruhi has Rs. (2 × 593.40) + Rs. 605.60
    = Rs. (1186.8 + 605.60) = Rs.1792.40
  • Question 44
    1.2 / -0
    Price of 4 cheese pizzas is Rs. 1000 and that of a Coke is Rs. 50. Yuvi and his sister Ruhi have Rs. 550 with them. How many pizzas and Cokes can they buy so that they spend maximum of the available amount?
    Solution
    Price of 4 pizzas = Rs. 1000
    Cost of 1 pizza = 1000 ÷ 4 = Rs. 250
    Cost of 2 pizzas = 250 × 2 = Rs. 500
    Cost of 1 Coke = Rs. 50
    Total amount = 500 + 50 = Rs. 550
    So, they can buy 2 pizzas and 1 Coke with the available amount.
  • Question 45
    1.2 / -0
    There are 100 candies in a jar. 70 of the candies are of red colour and the rest are of blue colour. Find the ratio of the red candies to the blue candies in the jar.
    Solution
    Number of red candies = 70
    Number of blue candies = 30
    Ratio of red candies to blue candies = 70 : 30
    Both 70 and 30 are multiples of 10.
    Therefore, the ratio is 7 : 3.
  • Question 46
    1.2 / -0


    Sanjam is planning to plant grass in a rectangular park. If the green part represents where grass is to be planted, then find its area.
    Solution
    Area of a rectangle = L × B, where L is the length of the rectangle and B is its breadth.
    Length of rectangle EFGH = 13.7 m; Breadth = 5.3 m
    Area of rectangle EFGH = 13.7 m × 5.3 m = 72.61 m2
    Breadth of rectangle ABCD = 3 m; Length = 9 m.
    Area of rectangle ABCD = 3 m × 9 m = 27 m2
    Area where grass is to be planted = Area of rectangle EFGH – Area of rectangle ABCD = (72.61 – 27) m2 = 45.61 m2
  • Question 47
    1.2 / -0
    Part of a scale is shown below:



    What will be the reading at the arrow?
    Solution

    Number line is divided into tenths, which are further subdivided into 5 equal parts, each of which represents 0.2. Therefore, the reading at the arrow will be 103.6.
  • Question 48
    1.2 / -0
    For long distance telephone calls, a telephone company charges 72 paise per minute. What will be the cost for a call of duration 4 minutes and 20 seconds?
    Solution
    Cost for a 1 sec call = paise
    Cost for a 4 min 20 sec call = (72 × 4) + × 20
    = 312 paise
    = Rs. 3.12
  • Question 49
    1.2 / -0
    The pictograph below shows the modes of transportation used by the employees of a company.



    How many more people come by cycle than by car?
    Solution
    Total number of people who come by car = 12
    Total number of people who come by cycle = 18
    So, 18 - 12 = 6 more people come by cycle than by car.
  • Question 50
    1.2 / -0
    Amit spends Rs. 60 on breakfast at his college each day. He is charged extra Rs. 10/week for pick and drop service. How much money does Amit spend on breakfast in 5 working days?
    Solution
    Cost of breakfast for each day = Rs. 60
    Extra charges for 5 days = Rs. 10/week = Rs. 10
    Total cost = (5 × Cost of breakfast for each day) + Extra charges = Rs. (5 × 60) + Rs. 10 = Rs. (300 + 10) = Rs. 310
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