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Q:

What is the compound interest earned at the end of 3 years?

I. Simple interest earned on that amount at the same rate and for the same period is Rs. 4500.

II.The rate of interest is 10 p.c.p.a.

III.Compound interest for 3 years is more than the simple interest for that period by Rs.465.

A) I and II only B) II and III only
C) I and III only D) Either II or III only

Answer:   D) Either II or III only



Explanation:

 

 

 

 

 

 

I. gives, S.I for 3 years = Rs. 4500.

 

 

 

II. gives, Rate = 10% p.a.

 

 

 

III. gives, (C.I.) - (S.I.) = Rs. 465.

 

 

 

Clearly, using I and III we get C.I. = Rs. (465 + 4500).

 

 

 

Thus, II is redundant.

 

 

 

Also, from I and II, we get sum =

 

 

 

100 x 4500

 

 

 

= 15000.

 

 

 

10 x 3

 

 

 

Now C.I. on Rs. 15000 at 10% p.a. for 3 years may be obtained.

 

 

 

Thus, III is redundant.

 

 

 

Either II or III is redundant.

Q:

If (secA - tanA)2 = x, then the value of x is

A) (1 + sinA)/(1 - sinA) B) √[(1 - sinA)/(1 + sinA)]
C) (1 - sinA)/(1 + sinA) D) √[(1 + sinA)/(1 - sinA)]
 
Answer & Explanation Answer: C) (1 - sinA)/(1 + sinA)

Explanation:
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If tan(A/2) = x, then the value of x is

A) (1 - cosA)/sinA B) (1 + cosA)/sinA
C) √[(1 - cosA)/sinA] D) √[(1 + cosA)/sinA]
 
Answer & Explanation Answer: A) (1 - cosA)/sinA

Explanation:
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Q:

If sec -7π/4 = x, then the value of x is

A) √2 B) -√2
C) -1/√3 D) -1
 
Answer & Explanation Answer: A) √2

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If in a two digit number, the digit at unit place is y and the digit at tens place is 5, then the number is

A) 50y + y B) 5y + 5
C) 50 + y D) 50y + 5
 
Answer & Explanation Answer: C) 50 + y

Explanation:
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What is the value of sin ­7π/4c?

A) ­1/√2 B) 2/√3
C) 1/√2 D) ­2/√3
 
Answer & Explanation Answer: C) 1/√2

Explanation:
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Q:

√(cosec2 -­ 1)/cosecA is equal to?

A) cosA B) sinA
C) cosecA D) secA
 
Answer & Explanation Answer: A) cosA

Explanation:
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Q:

Find measure of central angle of the sector whose perimeter is 25 cm and radius of the circle is 7 cm?

A) 45° B) 22.5°
C) 135° D) 90°
 
Answer & Explanation Answer: D) 90°

Explanation:
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Q:

­ What is the equation of the line if its slope is 3/4 and y­intercept is 5?

A) 3x + 4y = ­-20 B) 3x + 4y = 20
C) 3x ­- 4y = ­-20 D) 3x ­- 4y = 20
 
Answer & Explanation Answer: C) 3x ­- 4y = ­-20

Explanation:
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