NTT Data Mathematical Order Quiz-1

Explanation - On interchanging - and /, we get the equation as

6 + 3 x 8 / 24 - 4 = 4

or 6 + 3 x (2/3) - 4 = 4

or 4 = 4, which is true.

Explanation - The given numbers are - 8 0 4 4 to obtain 8

So, clearly 8 - 8 + 8 * 8 = 8 -8 + 64

= 72 - 8

= 64

Explanation -

The quadratic equation whose roots are reciprocal of 3x^{2}+5x+2. can be obtained by replacing x by 1/x.

Hence, 3(1/x)(1/x)+ 5(1/x) + 2 = 0 

So the equation is -  2x^{2}+5x+3=0

 

Explanation - Using Trial and error method,

3(2(1)+3/2) = 7(1)(3/2)

3(2+3/2) = 21/2

3(7/2)=21/2

21/2 =21/2

Similarly, for 3(x + 3y) = 11xy

3(1+3(3/2)) = 11(1)(3/2)

3(1+9/2) = 11 (3/2)

3(11/2) = 33/2

33/2=33/2

From the options  x = 1, y = 3/2 satisfies both the equations.

Explanation -

On interchanging * and /  and 6 and 4 in (c), 

we get the equation as  6 / 4 x 20 = 30 or 30 = 104, which is true.

Explanation - Given equation is 19^{2.3}\times19^{p} = 19^{7}. 

Here it is in the form of a^m X a^n = a^m+n

 

Here m = 2.5 , n = p, m+n = 7

 => 2.5 + p = 7 

 => p = 7 - 2.5

 => p = 4.5

Explanation - By the Given data , We have the expression:

=> 10 + 6 - 6 ÷ 6 × 4

=> 10 + 6 - 1 × 4 

=> 10 + 6 - 4 = 12.

 

Explanation - Given  49.001^{2} = ?

=>  49 x 49

=> 2401

=> 2400 

Explanation - Let the runs scored by Abhilash, Bonny, Chinu, Dinu and Ellen be  a, b, c, d and e

From given data,

a + b + c + d + e = 36 x 5 = 180

b + c = 107

Let a = x

e = x-8

d = x-3

now 3x - 11 + 107 = 180

3x = 84

x = 28

e's score = 28-8 = 20

Hence, Ellen scored 20 Runs

Explanation - Using Correct Symbols , We have :

Given expression = 40 / 2 + 4 x 6 - 4 = 20 + 24 - 4 = 40