7
Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15 B) 3
C) 9 D) 6

Answer:   A) 15



Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

 

Required, difference between the numbers = a + b = 9 + 6 = 15.

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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0 220
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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0 439
Q:

Solve the following

113 × 87 =?

 

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

Explanation:
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0 772
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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0 116
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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0 542
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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0 599
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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0 556
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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0 544