0
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:

What is the simplified value of (cotA + tan B)/(cot B + tan A)?

A) tanB cotA B) tanA cotB
C) tanA tanB D) cotA cotB
 
Answer & Explanation Answer: A) tanB cotA

Explanation:
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0 1081
Q:

What is the simplified value of 1cosec A + cot A2 ?

A) sec A + tan A B) (1 – cos A)/(1 + cos A)
C) (1 – cosec A)/(1 + cosec A) D) sin A
 
Answer & Explanation Answer: B) (1 – cos A)/(1 + cos A)

Explanation:
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0 677
Q:

If  cos2θ-sinθ = 1/4, then what is the value of sin θ?

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

Explanation:
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0 792
Q:

Find the radius of the circle if the length of its arc is 33 cm whose corresponding central angle is 90° ?

A) 21 cm B) 14 cm
C) 7 cm D) 28 cm
 
Answer & Explanation Answer: A) 21 cm

Explanation:
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0 829
Q:

If sin 30° + cos 45° = X, then the value of X.

A) (2√2-√3)/2 B) 4/√3
C) (1-√3)/√3 D) (1+√2)/2
 
Answer & Explanation Answer: D) (1+√2)/2

Explanation:
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0 602
Q:

(1 + sinA)/(1 - sinA) is equal to?

A) (cosecA - 1)/(cosecA + 1) B) (cosecA + 1)/(cosecA - 1)
C) (secA + 1)/(secA - 1) D) (secA - 1)/(secA + 1)
 
Answer & Explanation Answer: B) (cosecA + 1)/(cosecA - 1)

Explanation:
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0 1268
Q:

At least one pair of opposite angles is congruent in a _____.

A) Cyclic quadrilateral B) Trapezium
C) Isosceles trapezium D) Kite
 
Answer & Explanation Answer: D) Kite

Explanation:
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0 780
Q:

A container contains 165 litres of milk. Some quantity of milk is taken out and half of that quantity of milk, water is added in the container. Now ratio of milk to water in the container becomes 5:3. What is the quantity of water added in it?

A) 40 litre B) 45 litre
C) 60 litre D) 30 litre
 
Answer & Explanation Answer: B) 45 litre

Explanation:

Let amount of milk removed = 2x litre
So, amount of water added = x litre
Now → (165 − 2x)/x = 5/3
x = 45 lit

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8 2954