12
Q:

What should come in place of the question mark(?) in the following questions ?

316 + 412 - 223 - 11112 = ?

A) 1 7/12 B) 1 5/12
C) 3 7/12 D) 3 1/12

Answer:   D) 3 1/12



Explanation:

? = (3 + 4 - 2 - 1) + ( 1/6 + 1/2 - 2/3 - 11/12) 

= 4 + [(2+6-8-11)/12] 

= 4 - (11/12 )= 31/12.

Q:

What is 7 + 7 ÷ 7 + 7 × 7 - 7 =

A) 0 B) 42
C) 50 D) 57
 
Answer & Explanation Answer: C) 50

Explanation:

Given 7 + 7/7 + 7 x 7 - 7

By using BODMAS rule,

7 + 1 + 7 x 7 - 7

= 8 + 49 - 7

= 57 - 7

= 50.

 

Hence 7 + 7/7 + 7 x 7 - 7 = 50.

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1 163
Q:

Find the Value of ?

5.112.2+5.553.3+6.31.4+7.22.001 = ? x 3.34

A) 81 B) 77
C) 73 D) 89
 
Answer & Explanation Answer: D) 89

Explanation:

This can be done in a method called Approximation.

Now, 

52 + 63 + 6 + 72 = ? x 3.3425 + 216 + 6 + 49 = ? x 3.34296 = ? x 3.34? = 2963.34 = 88.622  89 

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5 226
Q:

Can you Solve 7 + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7 =

A) 112 B) 56
C) 0 D) 98
 
Answer & Explanation Answer: A) 112

Explanation:

7  + 7 ÷ 7 + 7 x 7 + 7 - 7 ÷ 7 + 7 x 7= 7 + 1 + 49 + 7 - 1 + 49= 8 + 56 + 48= 56 + 56= 112

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8 222
Q:

The last two digits of 2151415?

A) 81 B) 61
C) 91 D) 51
 
Answer & Explanation Answer: D) 51

Explanation:

Unit digit of this expression is always 1 as the base ends with 1. 

For the tenth place digit we need to multiply the digit in the tenth place of the base and unit digit of the power and take its unit digit.

i.e, tenth place digit in 2151 is 5 and

tenth place digit in power 415 is 1

And the units digit in the product of 5 x 1 = 5

 

Therefore, last two digits of 2151415 is 51.

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4 298
Q:

What is the value of P in the following Equation ?

 192.5 × 19p = 197

A) 3.9 B) 4.1
C) 3.7 D) 4.5
 
Answer & Explanation Answer: D) 4.5

Explanation:

Given equation is  

  192.5 ×19p = 197   

Here it is in the form of am × an = am+n  

 Here m = 2.5 , n = p, m+n = 7

 => 2.5 + p = 7 

 => p = 7 - 2.5

 => p = 4.5

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8 490
Q:

The solution of 3(2u + v) = 7 uv and 3(u + 3v) = 11 uv is _____

 

A) u = 1, v = 0 B) u = 1, v = 3/2
C) u = 0, v = 3/4 D) u = 0, v = 1
 
Answer & Explanation Answer: B) u = 1, v = 3/2

Explanation:

Using Trial and error method,

From the options  u = 1, v = 3/2 satisfies both the equations.

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16 443
Q:

What approximate value will come in place of question mark (?) in the following question ?

 (49.001)2  = ?

A) 2500 B) 2400
C) 2600 D) 2300
 
Answer & Explanation Answer: B) 2400

Explanation:

Given (49.001)2  = ?

=> =~ 49 x 49

=~ 2401

=~ 2400 

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12 519
Q:

Find the quadratic equations whose roots are the reciprocals of the roots of 2x2+5x+3?

A)  3x2+5x+2=0   

B) 5x2+3x+2=0 

C) 3x2-5x-2=0   

D)  None



A) A B) B
C) C D) D
 
Answer & Explanation Answer: A) A

Explanation:

The quadratic equation whose roots are reciprocal of 2x2+5x+3=0 can be obtained by replacing x by 1/x.

 

Hence, 2(1/x)(1/x)+ 5(1/x) + 3 = 0

 

=> 3x2+5x+2=0

 

 

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4 967