The difference between the place value and the face value of 7 in the numeral 967452 is

Correct Answer: 3775

Explanation:

This is an A.P. in which a = 51, l = 100 and n = 50.

∴Sum =	n	(a + l)	=	50	x (51 + 100)   = (25 x 151)   = 3775.
	2			2

Correct Answer: A=B

Explanation:

 Given  A = log 3 2187 5 a n d B = log 243 2187

B = log 3 5 2187 = log 3 2187 5

=> A

Therefore, A = B

   

Correct Answer: 4

Explanation:

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4

 

Correct Answer: 1/3

Explanation:

$$\begin{gathered} log 343 7 \\ log 7 3 7 \\ 1 3 log 7 7 \\ W e k n o w t h a t l o g x x = 1 \\ = > 1 3 \end{gathered}$$

Correct Answer: 0

Explanation:

 

 

                             

                             

Correct Answer: 945

Explanation:

Required numbers are 10,15,20,25,...,95
This is an A.P. in which a=10,d=5 and l=95.
Let the number of terms in it be n.Then t=95
So a+(n-1)d=95.
10+(n-1)*5=95,then n=18.
Required sum=n/2(a+l)=18/2(10+95)=945.

Correct Answer: 10

Explanation:

(2272-875) = 1397, is exactly divisible by N.

Now , 1397 = 11 x 127

The required 3-digit number is 127,the sum of digits is 10.

Correct Answer: 8

Explanation:

Let the two consecutive odd integers be (2x + 1) and (2x + 3)

Then,

(2x + 3)² - (2x + 1)²

= (2x + 3 + 2x + 1) (2x + 3 - 2x - 1)

= (4x + 4)(2)
= 8 (x + 1), which is always divisible by 8

Correct Answer: 75

Explanation:

Let Divisor be x. We know that Dividend = Remainder+Divisor×Quotient So Divisor = (Dividend - Remainder)/Quotient ⇒ x = (4150 - 25)/55 ⇒ x = 4125/55 ⇒ x = 75 Hence Divisor is 75.

Correct Answer: 5

Explanation:

The pattern is -45, -35, -25, -15

The next number = 20-15= 5