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IMO - Mock Test - 1

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Weekly Quiz Competition
  • Question 1
    1.2 / -0
    If all the symbols are dropped, then which among the following would be fifth from the right in the given arrangement?

    3 A # 7 & 8 9 J @ 6 K L ! T ? P 6 2 W %
    Solution
    If all the symbols are dropped, then T would be fifth from the right
  • Question 2
    1.2 / -0
    Complete the following number series:

    4, 11, 25, 46, 74, 109, __
    Solution
    4 + 7 × 0 = 4
    4 + 7 × 1 = 11
    11 + 7 × 2 = 25
    25 + 7 × 3 = 46
    46 + 7 × 4 = 74
    74 + 7 × 5 = 109
    109 + 7 × 6 = 151
  • Question 3
    1.2 / -0
    Find the missing term.

    Solution
    In the series, the second figure is rotated 90o clockwise, so the missing image will be-
  • Question 4
    1.2 / -0
    Complete the following number series:

    6, 14, 30, 54, 86, ___
    Solution
    6 + 8 = 14
    14 + 16 = 30
    30 + 24 = 54
    54 + 32 = 86
    86 + 40 = 126
  • Question 5
    1.2 / -0
    Find the odd one out from the following.
    Solution
    Only 345 is divisible by 5.
  • Question 6
    1.2 / -0
    Pointing to a man, Jack says, "He is the father of the only brother of my sister". How is Jack related to the man?
    Solution
    The person is the father of the only brother of his sister. It means that Jack is the brother of that girl.
    It implies that the person is the father of Jack.
    Thus, Jack is his son.
  • Question 7
    1.2 / -0
    Find the odd one out from the following.
    Solution
    Irregular hexagon is the odd one out as all its sides are not the same, whereas all other shapes in the question have similar sides.
  • Question 8
    1.2 / -0
    Sachin is standing at 14th position in a bank queue from the front. If in the queue, total number of persons is 25, then what is his rank from the end?
    Solution
    Sachin's rank from the end = Total number of persons - His rank from starting +1 = 25 - 14 + 1 = 12
  • Question 9
    1.2 / -0
    Tripit is going to a coffee shop. He walks 500 m to the north and then turns to his left. He walks 600 m before turning to his right. After covering a distance of 200 m, he reaches the shop. In which direction is he relative to his starting point?
    Solution


    Coffee shop is in north-west direction relative to his starting point.
  • Question 10
    1.2 / -0
    Find out the alternative which will replace the question mark.

    9 : 711 : : 5 : ?
    Solution
    The first number (9) when multiplied by 79, gives the second number (9 79 = 711). Similarly, 5 when multiplied by 79, gives the fourth number (5 79 = 395), which will replace the question mark. Hence, option 4 is the correct answer.
  • Question 11
    1.2 / -0
    The perimeter of a square is 44 cm. Find the area of that square.
    Solution
    Perimeter of a square = 4 × side
    Length of each side = 44 cm ÷ 4 = 11 cm
    Area = (Side)2 = (11 cm)2 = 121 cm2
  • Question 12
    1.2 / -0
    How many lines of symmetry does a circle have?
    Solution
    A circle has infinite lines of symmetry, each of its diameters being a line of symmetry.
  • Question 13
    1.2 / -0
    Which of the following is the correct prime factorisation of 6930?
    Solution


    The prime factors are:
    2 x 3 x 3 x 5 x 7 x 11
  • Question 14
    1.2 / -0
    What will be the sum of (5)3 and (7)3?
    Solution
    53 = 125
    73= 343
    So, 53 + 73 = 125 + 343 = 468
  • Question 15
    1.2 / -0
    The LCM of 14, 18 and 22 is:
    Solution
    Prime factors of 14 = 2 × 7
    Prime factors of 18 = 2 × 3 × 3
    Prime factors of 22 = 2 × 11
    LCM = 2 × 3 × 3 × 7 × 11 = 1386
  • Question 16
    1.2 / -0
    Which among the following numbers is not divisible by 6?
    Solution
    As 6 = 2 x 3, a number divisible by 6 should be divisible by both 2 and 3.
    A number which is divisible by 2 should be even.
    All these numbers are even and hence, divisible by 2.
    A number which is divisible by 3 should have the sum of its digits divisible by 3.
    Among the given options, only 152 is not divisible by 3, because 1 + 5 + 2 = 8 and 8 is not divisible by 3.
    Thus, 152 is not divisible by 6.
    Hence, answer option 1 is correct.
  • Question 17
    1.2 / -0
    How many prime numbers are there in between 3 and 37?
    Solution
    Following are the prime numbers in between 3 and 37: 5, 7, 11, 13, 17, 19, 23, 29, 31
  • Question 18
    1.2 / -0
    Which among the following would be an obtuse angle?
    Solution
    This would be an obtuse angle as it is more than 90°, and less than 180°.
  • Question 19
    1.2 / -0
    What would be the diameter of a circle if its area is 154 cm2? (The area of a circle is given by: × radius × radius )
    Solution
    Area of circle = × r × r

    Or, 154 cm2 = × r × r
    Or,
    r × r = cm2 = 7 × 7 cm2

    So, r = 7 cm
    Hence, Diameter = 2 × 7 = 14 cm
  • Question 20
    1.2 / -0
    How many lines of symmetry would there be in a rectangle?
    Solution
  • Question 21
    1.2 / -0
    Find out the length of a rectangle if the perimeter is 96 cm and the breadth is 16 cm.
    Solution
    Perimeter of rectangle = 2(l + b)
    96 cm = 2(l + 16 cm)

    Or, cm = l + 16 cm

    48 cm = l + 16 cm
    l = 48 cm – 16 cm
    or, l = 32 cm
  • Question 22
    1.2 / -0
    Laurena went shopping and bought things worth Rs. 9.36. Find out how much money does she need to take out of her purse if she has Rs. 5.64 in her pockets.
    Solution
    The required amount = Rs. (9.36 – 5.64) = Rs. 3.72
  • Question 23
    1.2 / -0
    Find out the length of the side of a cube if its volume is 512 cm3.
    Solution
    Volume of a cube = (Side)3
    512 = (Side)3
    Side = 8 cm
  • Question 24
    1.2 / -0
    What would be the length of the side of a square if its perimeter is 64 cm?
    Solution
    Perimeter of square = 4 × side
    64 cm = 4 × Side

    Side = cm

    So, Side = 16 cm
  • Question 25
    1.2 / -0
    A cricket match was started at 9:15 am and was finished at 12.30 pm. What was the time duration of the match?
    Solution
    From 09:15 to 12:15 = 3 hours
    and, from 12.15 to 12.30 = 15 minutes
    Total time = 3 hours and 15 minutes
  • Question 26
    1.2 / -0
    For a party, Jack purchased 3 m and 345 cm of cloth, and his brother purchased 2 m and 155 cm of cloth. Calculate the total length of cloth in metres that Jack and his brother purchased altogether.
    Solution
    Cloth Jack purchased = 3 m + 345 cm = 300 cm + 345 cm = 645 cm
    Cloth his brother purchased = 2 m + 155 cm = 200 cm + 155 cm = 355 cm
    Total length = 645 cm + 355 cm = 1000 cm
    As, 1 cm = 1/100 m
    So, 1000 cm = 10 m
  • Question 27
    1.2 / -0
    The weight of a bag of flour is 45.67 kg and the weight of a bag of rice is 29.55 kg. Find out the difference between the weights of bag of flour and bag of rice.
    Solution
    Required quantity = (45.67 – 29.55) kg = 16.12 kg
  • Question 28
    1.2 / -0
    Which among the following is not the common multiple of 8 and 12?
    Solution
    40 is a multiple of 8, but not a multiple of 12. So, 40 is not the common multiple of 8 and 12.
  • Question 29
    1.2 / -0
    How many lines of symmetry does a regular hexagon have?
    Solution


    There are six lines of symmetry in a hexagon.
  • Question 30
    1.2 / -0
    Which of the following options shows the given fractions in descending order?

    Solution
    Descending order means starting from the biggest.
    Because the numerators are alike, so the fraction with the smallest denominator is the biggest.

    So, Descending order is
  • Question 31
    1.2 / -0
    Charlie bought 40 baskets of chocolates having 35 chocolates in each basket. How many chocolates did Charlie have?
    Solution
    Chocolates in one basket = 35
    Number of baskets Charlie has = 40
    Total number of chocolates that Charlie has:
    35 × 40 = 1400
  • Question 32
    1.2 / -0
    In a godown, there were 1260 eggs. The owner of the godown distributed the eggs among 315 workers equally. How many eggs did each worker get?
    Solution
    Total number of eggs in godown = 1260
    Number of workers = 315
    Number of eggs each worker gets: 1260 ÷ 315 = 4
  • Question 33
    1.2 / -0
    What is the HCF of 18, 72 and 108?
    Solution
    18 × 1 = 18
    18 × 4 = 72
    18 × 6 = 108
    So, 18 is the highest common factor for 18, 72 and 108.
  • Question 34
    1.2 / -0
    Jack's salary is th of Rs. 30,000 and Charlie's salary is th Rs. 30,000. By how much amount is Charlie's salary more than that of Jack?
    Solution
    Charlie's salary = Rs. = Rs. 4 × 6000 = Rs. 24,000

    Jack's salary = Rs. = Rs. 6000

    Difference = Rs. (24,000 – 6000) = Rs. 18,000
  • Question 35
    1.2 / -0
    The cost of 1 packet of chips is Rs. 24.75, and the cost of 1 bottle of water is Rs. 18.50. How much money does Ria spend on buying 15 packets of chips and 20 bottles of water?
    Solution
    Cost of 15 packets of chips = Rs. 24.75 × 15 = Rs. 371.25
    Cost of 20 bottles of water = Rs. 18.50 × 20 = Rs. 370
    Total cost = Rs. (371.25 + 370) = Rs 741.25
  • Question 36
    1.2 / -0
    Rahul divided one side of his square garden into 5 equal parts. With each part equal to 2 m, find perimeter of the garden.
    Solution
    Number of equal parts = 5
    Length of each part = 2 m
    Side = 10 m
    Perimeter of square = 4 × side = 4 × 10 m
    Perimeter = 40 m
  • Question 37
    1.2 / -0
    The weight of a lion is 1 quintal and 56 kg, and the weight of a tiger is 165 kg. What would be the sum of the weights of both lion and tiger in kilograms?
    Solution
    Weight of lion = 1 quintal + 56 kg
    = 100 kg + 56 kg [1 quintal = 100 kg]
    = 156 kg
    Weight of tiger = 165 kg
    Sum of weights = (165 + 156) kg = 321 kg
  • Question 38
    1.2 / -0
    The temperatures for the following days are given below:

    Monday: 0° C
    Tuesday: -10° C
    Wednesday: 4° C
    Thursday: -6° C

    Which given day is the coldest?
    Solution
    On Tuesday, the temperature is the lowest as it is a negative number with the highest value. Hence, Tuesday is the coldest among the given days.
  • Question 39
    1.2 / -0
    Bravo had Rs. 76 in his pocket and Jim had Rs. 22 in his pocket. Find out the total sum of money in paise.
    Solution
    Sum of money: Rs. (76 + 22) = Rs. 98
    Re. 1 = 100 paise
    Rs. 98 = 100 × 98 paise = 9800 paise
  • Question 40
    1.2 / -0
    Charlie has 3 boxes. In 1st box, there are 30 oranges, in 2nd box, there are 36 oranges and in the 3rd box, there are 42 oranges. Find out the LCM of the number of oranges in each box.
    Solution
    The factors made for 30, 36 and 42 are:
    30 = 2 × 3 × 5
    36 = 22 × 32
    42 = 2 × 3 × 7
    LCM = 2 × 2 × 3 × 3 × 5 × 7 = 1260
  • Question 41
    1.2 / -0
    Price of one chocolate is Rs. 25, one ice-cream is Rs. 20. Avneet buys 5 chocolates and 2 ice creams. She gives a Rs. 500 note. How much change will she get back?
    Solution
    Cost of one chocolate = Rs. 25
    Cost of 5 chocolates = Rs. 5 × 25 = Rs. 125
    Cost of ice cream = Rs. 20
    Cost of 2 ice creams = Rs. 2 × 20 = Rs. 40
    Total cost = Rs. (125 + 40) = Rs. 165
    She gives Rs. 500
    Change she will get back = Rs. (500 - 165) = Rs. 335
  • Question 42
    1.2 / -0
    A person sold 52 bread loaves a day. In total, he sold 312 of them. How many days did he take to sell those 312 bread loaves?
    Solution
    Total number of bread loaves sold = 312
    Number of bread loaves sold in 1 day = 52

    Total number of days = = 6 Days
  • Question 43
    1.2 / -0
    In 7 hours, Jack can walk 35 km. How many kilometres can he walk in 10 hours?
    Solution
    Distance covered in 7 hours = 35 km

    Distance covered in 1 hour = km = 5 km

    Distance covered in 10 hours = 5 × 10 km = 50 km
  • Question 44
    1.2 / -0
    In how many ways can John choose to wear between 6 pairs of jeans and 2 shirts?
    Solution
    '6 pairs of jeans' means pants are 6 in number.
    John wears the first jeans with any of the two shirts, which makes 2 combinations.
    Similarly, he can do with the other 5 jeans.
    Thus, number of combinations is 6 x 2 = 12.
  • Question 45
    1.2 / -0
    Find the value of the given expression.

    5 × 8 (5 - 3) + 6 (2 + 1)
    Solution
    Here, we have
    5 × 8 (5 - 3) + 6 (2 + 1)
    Following BODMAS order
    = 5 × 8 (2) + 6 (3)
    = (5 × 16) + 18
    = 80 + 18
    = 98
  • Question 46
    1.2 / -0
    Sachin's dining room is 4 metres wide and 7 metres long. Sachin wants to install wooden trim around the top of the room. The trim costs Rs. 286.00 per metre. How much will it cost Sachin to buy enough trim?
    Solution
    Perimeter of the roof (top of the room) = 4 m + 7 m + 4 m + 7 m = 22 m
    Cost for 1 m = Rs. 286
    Cost for 22 m = Rs. 286 x 22 = Rs. 6292
  • Question 47
    1.2 / -0
    The Dolphins scored fewer points than the Tigers. The Tigers did not score more points than the Wolverines. Which team scored the least points?
    Solution
    1. Points scored by Dolphins (D) < Points scored by Tigers (T).
    2. Points scored by Tigers (T) < Points scored by Wolverines (W).
    From 1 and 2,
    D < T < W
    Hence, the dolphins scored the least point.
  • Question 48
    1.2 / -0
    8 of the people in Aman's neighbourhood have been to San Francisco and 7 have been to Baltimore. 4 people have been to both San Francisco and Baltimore. How many people have been to Baltimore but not San Francisco?

    Solution
    4 people have been to both San Francisco and Baltimore. Put 4 dots in the area that is in both circles.
    Now add dots to the other two areas until there are 8 dots in the 'I have been to San Francisco' circle and 7 dots in the 'I have been to Baltimore' circle.
    Count the dots that are in the 'I have been to Baltimore' circle, but are not in the 'I have been to San Francisco' circle. There are 3 dots.



    3 people have been to Baltimore but not to San Francisco.
  • Question 49
    1.2 / -0
    John has the following coins.



    If the total value of the coins is Rs. 13.50, what are the missing coins?
    Solution
    Given: One 1-rupee coin = Rs. 1.00.
    One 50-paise coin = Rs. 0.50.
    Total worth of the given coins = Rs. 1.50.
    Total amount John has = Rs. 13.50
    So, amount left = Rs. 13.50 – Rs. 1.50 = Rs. 12.00
    To make Rs. 12.00, the 2 unknown coins must be:
    One 10-rupee coin, worth Rs. 10.00.
    One 2-rupee coin, worth Rs. 2.00.So, the unknown coins must be one 10-rupee coin and one 2-rupee coin.
  • Question 50
    1.2 / -0
    Tamana and his cousin have 6 bags of marbles. Some of the bags contain 7 red marbles each. The rest of the bags contain 6 orange marbles each. They have 40 marbles in all. How many bags of marbles of each colour do the cousins have?
    Solution
    Let the number of bags with red marbles be x.
    The number of bags with orange marbles be y.
    Then, x + y = 6
    or, x = 6 - y ... (i)
    and 7x + 6y = 40
    or, 7(6 - y) + 6y = 40 (Using i)
    or, 42 - 7y + 6y = 40
    or, y = 2
    and x = 6 - 2 = 4
    Hence, we have 4 bags of red marbles and 2 bags of orange marbles.
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