37
Q:

A tank is 2/5 full. If 16 litres of water is added to the tank, it becomes 6/7 full. The capacity of the tank is:

A) 28 litres B) 32 litres
C) 35 litres D) 42 litres

Answer:   C) 35 litres



Explanation:

Let the capacity of the tank be x litres.

 

Then, (6x/7 - 2x/5) = 16 <=> 30x - 14x = 16*35 <=> x = 35

Q:

If (cos2 θ -1)(1+tan2 θ)+2 tan2 θ =1, 0°<θ<90° then θ is:

 

 

 

A) 30° B) 90°
C) 60° D) 45°
 
Answer & Explanation Answer: D) 45°

Explanation:
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7 1481
Q:

The value of sin 30°cos 60°sin 60°cos 30°- tan 45° is

 

A) 5 B) 0
C) 2-22 D) 2
 
Answer & Explanation Answer: B) 0

Explanation:
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3 6069
Q:

Solve the following

113 × 87 =?

 

A) 9831 B) 10026
C) 10169 D) 10000
 
Answer & Explanation Answer: A) 9831

Explanation:
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1 5190
Q:

In ΔABC measure of angle B is 90 deg. If tanA = 12/5, and AB = 1cm, then what is the length (in cm) of side BC?

 

A) 2.6 B) 2.4
C) 1.5 D) 2
 
Answer & Explanation Answer: B) 2.4

Explanation:
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2 927
Q:

ΔXYZ is right angled at Y. If m∠X = 60 deg, then find the value of (cotZ + 2)

 

A) (2√2+1)/2   B) √3+2  
C) (√6+1)/√3   D) (2√2+√3)/2
 
Answer & Explanation Answer: B) √3+2  

Explanation:
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0 6367
Q:

If a3 = 93 + 1263+ 2173,then which of the following is correct?

 

A) a=2197 B) a>2197
C) a<2197 D) a<1728
 
Answer & Explanation Answer: B) a>2197

Explanation:
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1 4721
Q:

Find the number of solutions a pair of linear equation (4x-9y+13=0 and 2x+3y-13=0) have.

 

A) 1 B) 2
C) 10 D) infinite
 
Answer & Explanation Answer: A) 1

Explanation:
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2 3672
Q:

Find the area (in sq units) of the triangle formed by lines x - 3y = 0, x – y = 4 and x + y = 4.

 

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: B) 2

Explanation:
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1 5507