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E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_03
\\February 16, 2024 2:20 PM Surender Prajapati Proof 5 Reader _________________________ Date: ___________________74

Chapter assessment
1. Choose the correct option.

(a) Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12
seconds respectively. In 30 minutes, how many times do they toll together?

(i) 4 (ii) 10 (iii) 15 (iv) 16
(b) The least number which should be added to 2497 so that the sum is exactly
divisible by 5, 6, 4 and 3 is:

(i) 13 (ii) 23 (iii) 33 (iv) 3
(c) Reema, Neema and Siya start at the same time in the same direction to run
around a circular stadium. Reema completes a round in 308 seconds, Neema in
198 seconds and Siya in 252 seconds, all starting from the same point. After what
time will they meet again at the starting point?

(i) 45 min (ii) 42 min 36 sec (iii) 45 min 12 sec (iv) 46 min 12 sec
2. Atul has prepared 72 cupcakes in 4 different flavours where each flavour has equal
numbers. He wanted to arrange them in a rectangular box such that each flavoured
pastry comes in every row, without repetition. In how many rows can he arrange to
meet this requirement?

3. Aanaya wanted to arrange 36 plants of four different varieties in a rectangular area
surrounded by fence with each row having same type of plants. How many plants will
be planted in each row? Why plants are important to us?
4. Change the position of any two digits in the number 527253 such that the number
formed will be divisible by 11.

5. Three children step off together for the morning walk. Their steps measure
40 cm, 50 cm and 60 cm respectively. At what distance from their start will
the three children step together again? Why is the morning walk important
for everyone?
6. Rohan’s father has brought a new house and he wants to renovate the living room.
The living room is 6 m 70 cm long and 3 m 50 cm wide. What is the dimension of the
largest square tile that can be fixed on the floor so that the tiles need not be cut to
fit the floor? CompetenCy-Based Question
7. For an evening walk, three women began their walking by stepping off together from
the same spot. Their steps measure 75 cm, 60 cm and 105 cm, respectively. What is
the minimum distance each should cover so that all can cover the distance in complete
steps? CompetenCy-Based Question
8. Venkatesh wants to mail three parcels to three village schools. He finds that the postal
charges are `30, `48 and `84, respectively. If she wants to buy stamps only of one
denomination, what is the greatest denomination of stamps she must buy to mail the
three parcels? CompetenCy-Based Question

78 Mathematics-5