Variance of first 20 natural numbers is

**A. ** 32.25

**B. ** 44.25

**C. ** 33.25

**D. ** 30

**Answer : ****Option C**

**Explaination / Solution: **

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A purse contains 10 notes of ₹2000, 15 notes of ₹500, and 25 notes of ₹200. One note is drawn at random. What is the probability that the note is either a ₹500 note or ₹200 note?

**A. ** 1/5

**B. ** 3/10

**C. ** 2/3

**D. ** 4/5

**Answer : ****Option D**

**Explaination / Solution: **

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A frustum of a right circular cone is of height 16cm with radii of its ends as 8cm and 20cm. Then, the volume of the frustum is

**A. ** 3328*π* cm^{3}

**B. ** 3228*π* cm^{3}

**C. ** 3240*π* cm^{3}

**D. ** 3340*π* cm^{3}

**Answer : ****Option A**

**Explaination / Solution: **

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If 5*x* = sec θ and 5/*x* = tan θ*, *then *x*^{2}
– (1/* x*^{2}) is equal to

**A. ** 25

**B. ** 1/25

**C. ** 5

**D. ** 1

**Answer : ****Option B**

**Explaination / Solution: **

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The angle of elevation of a cloud from a point h metres above a lake is β. The angle of depression of its reflection in the lake is 45° . The height of location of the cloud from the lake is

**A. **

**B. **

**C. ** *h* tan(45° − *β*)

**D. ** none of these

**Answer : ****Option A**

**Explaination / Solution: **

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The equation of a line
passing through the origin and perpendicular to the line 7*x* − 3*y*
+ 4 = 0 is

**A. ** 7*x* − 3*y* + 4 =
0

**B. ** 3*x* − 7*y* + 4 =
0

**C. ** 3*x* + 7*y* = 0

**D. ** 7*x* − 3*y* = 0

**Answer : ****Option C**

**Explaination / Solution: **

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The perimeters of two similar triangles ΔABC and ΔPQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is

**A. ** 6(2/3) cm

**B. ** 10√6 /3 cm

**C. ** 66(2/3) cm

**D. ** 15 cm

**Answer : ****Option D**

**Explaination / Solution: **

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In figure if *PR* is
tangent to the circle at *P* and *O* is the centre of the circle,
then ∠*POQ* is

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The values of *a* and *b*
if 4*x* ^{4} − 24*x* ^{3} + 76*x* ^{2} +
*ax* +*b* is a perfect square are

**A. ** 100,120

**B. ** 10,12

**C. ** -120 ,100

**D. ** 12,10

**Answer : ****Option C**

**Explaination / Solution: **

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If . Which of
the following statements are correct?

**A. ** (i) and (ii) only

**B. ** (ii) and (iii) only

**C. ** (iii) and (iv) only

**D. ** all of these

**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

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