InfyTQ Numbers Quiz 4

Solution:

Whenever n is an odd number, (x^n + a^n) is always divisible by (x + a).

Therefore are divisible by (27 + 25).

Correct Answer: Option a

Solution:

First inequality:

-n + 2 ≥ 0

-n ≥ -2

n ≤ 2

Second inequality:

2n ≥ 4

n ≥ 2

Only n = 2 satisfies both inequalities. So, there is only 1 integer that satisfies both the inequalities.

The correct option is A

Solution:

Explanation :

-20*19 + 200

= -380 + 200

= -180

Correct Answer: Option d

Solution:

Let the three consecutive odd integers be $x$, $x+2$, $x+4$
Three times the first of three consecutive odd integers is $3$ more than twice the third.
$\therefore$ $3x=2(x+4)+3$
$\therefore$ $x=11$
Hence, the third integer is $11+4=15$.

Solution:

The given condition is satisfied only for 24.

Solution:

When 2355 is divided by 6 and the quotient is 392 and the remainder is 3.

Therefore, 3 must be added


Correct Answer: Option d

Solution:

When we divide 2356 by 82, we get remainder as 60 and quotient as 28.

Therefore, the required number is 60.

Correct Answer: Option c

Solution:

3 x 2 = 6

It is also clear that 5x2 is divisible by 2

Therefore, (5 + x + 2) must also be divisible by 3

Hence, x = 2.

Correct Answer: Option a

Solution:

For inconsistent (equations that have no solution) equations:

k/2 = 4/-8

k = -1

Solution:

(1 +2 + 3 + 4…..+ 30 + 31 + 32 +……100) – (1 + 2 + ……+ 30)

= (1002) (1 + 100) - 302 (1 + 30)

= 50 x 101 – 15 x 31

= 4585

Correct Answer: Option a