Question types

PART - 2 CH : 3 Finding Common Ground question types

40 questions across 4 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

40
Questions
4
Question groups
5
Question types
Sample Questions

PART - 2 CH : 3 Finding Common Ground questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A dog is chasing a rabbit that has a head start of 150 feet. It jumps 9 feet every time the rabbit jumps 7 feet. In how many leaps does the dog catch up with the rabbit?
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Tick the correct statement(s). The LCM of two different prime numbers (m, n) can be:
(a) Less than both numbers
(b) In between the two numbers
(c) Greater than both numbers
(d) Less than m × n
(e) Greater than m × n
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Children are playing ‘Fire in the Mountain.’ When the number 6 was called out, no one got out. When the number 9 was called out, no one got out. But when the number 10 was called out, some people got out. How many children could have been playing initially?
(a) 72$\quad$(b) 90$\quad$(c) 45$\quad$(d) 3$\quad$(e) 36$\quad$(f) None of these
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The length, width, and height of a box are 12 cm, 18 cm, and 36 cm, respectively. Which of the following-sized cubes can be packed in this box without leaving gaps?
(a) 9 cm$\quad$(b) 6 cm$\quad$(c) 4 cm$\quad$(d) 3 cm$\quad$(e) 2 cm
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Q 113 Marks Question3 Marks
Here is a problem posed by the ancient Indian Mathematician Mahaviracharya (850 C.E.). Add together $\frac{8}{15}, \frac{1}{20}, \frac{7}{36}, \frac{11}{63}$ and $\frac{1}{21}$ What do you get? How can we find this sum efficiently?
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Q 133 Marks Question3 Marks
Among the numbers below, which is the largest number that perfectly divides both 306 and 36?
(a) 36$\quad$(b) 612$\quad$(c) 18$\quad$(d) 3$\quad$(e) 2$\quad$(f) 360
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Q 143 Marks Question3 Marks
A cowherd took all his cows to graze in the fields. The cows can go to a crossing with 3 gates. An equal number of cows passed through each gate. Later, at another crossing with 5 gates again an equal number of cows passed through each gate. The same happened at the third crossing with 7 gates. If the cowherd had fewer than 200 cows, how many cows did he have? (Based on the folklore mathematics from Karnataka).
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