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Q. What is the modal class for the following distributions?

Class interval	$22 - 33$	$33 - 44$	$44 - 55$	$55 - 66$	$66 - 77$	$77 - 88$	$88 - 99$
Frequency	$23$	$45$	$67$	$89$	$100$	$123$	$20$

Q. Fill in the blanks to make each of the following a true statement:

(i) 785 × 0=....

(ii) 4567 × 1=...

(iii) 475 × 129=129 × ....

(iv) .... × 8975=8975 × 1243

(v) 10 × 100 × ...=10000

(vi) 27 × 18=27 × 9+27 × ...+27 × 5

(vii) 12 × 45=12 × 50 − 12 × ...

(viii) 78 × 89=78 × 100 − 78...+78 × 5

(ix) 66 × 85=66 × 90 − 66 × ... − 66

(x) 49 × 66+49 × 34=49 × (...+...)

What is the overall percentage of marks obtained by ‘M’ in all the subjects (rounded off to two digits after decimal)?

Q. The following data have been arranged in ascending order of magnitude.

63, 66, 69, x, x + 2, 76, 89

and

103

.
If the median of the given data is

71

, find the value of

x

If $\frac{6^{6} + 6^{6} + 6^{6} + 6^{6} + 6^{6} + 6^{6}}{3^{6} + 3^{6} + 3^{6}} \div \frac{4^{6} + 4^{6} + 4^{6} + 4^{6}}{2^{6} + 2^{6}} = 2^{n}$ then find the value of $n$ .

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