1 .
If sin $\theta$ + $ sin^ 2$ $\theta$ = 1, then find the value of $cos^ 8$ $\theta$ +$ cos^ 4$ $\theta$ + 2$cos^ 6$ $\theta$ - 1
A.  1
B.  - 1
C.  2
D.  0
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2 .
If a= 33, b= 32, c= 31, then find the value of$ a^ 3$ + $b^ 3$ + $c^ 3$ - 3abc.
A.  0
B.  216
C.  288
D.  192
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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?
A.  Rs. 2200
B.  Rs. 24000
C.  Rs. 2000
D.  Rs. 1600
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4 .
The value of $\theta$ in $sin \theta \over 1 - cos \theta$ + $ sin \theta \over 1 + cos \theta$ = 2 is
A.  45°
B.  90°
C.  60°
D.  30°
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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.
A.  16.5 min
B.  18.66 min
C.  17.8 min
D.  19.4 min
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6 .
Find the value of 1 - $cos^2 A \over 1 + sin A$ + $1 + sin A \over cos A$ - $cos A \over 1 - sin A$
A.  0
B.  1
C.  sin A
D.  cos 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

image
A.  70°
B.  75°
C.  50°
D.  90°
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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
A.  6
B.  4
C.  8
D.  2
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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
A.  30
B.  20
C.  40
D.  45
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10 .
What will be the remainder when ($46^ {92}$ + 46) is divided by 47 ?
A.  2
B.  0
C.  47
D.  46
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