1 .
If sin $\theta$ + $ sin^ 2$ $\theta$ = 1, then find the value of $cos^ 8$ $\theta$ +$ cos^ 4$ $\theta$ + 2$cos^ 6$ $\theta$ - 1

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2 .
If a= 33, b= 32, c= 31, then find the value of$ a^ 3$ + $b^ 3$ + $c^ 3$ - 3abc.

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3 .
On what sum of money will the C.I. of 2 yrs be the same as the S.I. on Rs. 416 for 10 yrs, the rate of interest being 8% per annum?

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4 .
The value of $\theta$ in $sin \theta \over 1 - cos \theta$ + $ sin \theta \over 1 + cos \theta$ = 2 is

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5 .
On walking at $(14 \over 11)^{th}$ of his usual speed, a boy reaches 4 minutes earlier to his school. Find the usual time taken by him to reach the school.

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6 .
Find the value of 1 - $cos^2 A \over 1 + sin A$ + $1 + sin A \over cos A$ - $cos A \over 1 - sin A$

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7 .
In the given figure A, B, C, D are points on a circle, then the value of 'y' is

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8 .
The product of two numbers is 12 times the difference of these two numbers. If the sum of these numbers is 10, then the larger number is

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9 .
The L.C.M. and H.C.F. of two numbers are 60 and 6 respectively. If the ratio of both the numbers is 2:5, then the larger of two numbers is

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10 .
What will be the remainder when ($46^ {92}$ + 46) is divided by 47 ?

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