Explanation

Vladimir Putin announced that Russia was suspending its participation in the NEW START treaty on February 21, 2023.

This move was part of escalating tensions between Russia and the US regarding nuclear arms control.

Explanation

2/7 = (2/7) x (100/100) = 200/7 = 28.57%

1/35 = (1/35) x (100/100) = 100/35 = 2.86%

Now, divide the percentage equivalent of 1/35 by the percentage equivalent of 2/7 and multiply by 100:

(2.86 ÷ 28.57) x 100 = 10%

So, 1/35 is 10% of 2/7.

The correct answer is: 10%

Explanation

The sum of five numbers is 555.

The average of the first two numbers is 75, so their sum is 2 x 75 = 150.

The third number is 115.

So, the sum of the first three numbers is 150 + 115 = 265.

Since the sum of all five numbers is 555, the sum of the last two numbers is 555 - 265 = 290.

Therefore, the average of the last two numbers is 290 / 2 = 145.

The correct answer is: 145

Explanation

To evaluate the expression 2^2n + 1, we need to follow the order of operations (PEMDAS):

Calculate the exponent: 2^2n = 2^(2*3) = 2^6

Calculate the value of 2^6: 2^6 = 64

Add 1 to the result: 64 + 1 = 65

Therefore, the correct answer is: 65

Explanation

Given expression = (3a + 2b) / (3a - 2b)

= [3(a/b) + 2] / [3(a/b) - 2]

= [3 x 1/3 + 2] / [3 x 1/3 - 2]

= 3 / -1

=-3

Explanation

⇒  Let total examines is x.

⇒  65% of total examines has passed. 

⇒  student failed =100%−65%=35%

Then, 35% of examines have failed.

⇒  Number of failures is 420

∴  35% of x=420

∴   35x/100 = 420

 x=(420 * 100)/35

∴  x=1200

Thus, Total number of examines are 1200.

Explanation

Given:

(x1 + x2 + x3 + x4) / 4 = 16

Multiply both sides by 4:

x1 + x2 + x3 + x4 = 64 ... (Equation 1)

Also, (x2 + x3 + x4) / 2 = 23

Multiply both sides by 2:

x2 + x3 + x4 = 46 ... (Equation 2)

Now, substitute Equation 2 into Equation 1: x1 + 46 = 64

Subtract 46 from both sides: x1 = 18

Therefore, the correct answer is: 18

Explanation

Given:

a^2 + b^2 = 8 ... (Equation 1)

(a - b)^2 = 4

Expanding the left side of the equation: a^2 - 2ab + b^2 = 4

Now, substitute Equation 1 into this equation: 8 - 2ab = 4

Subtract 8 from both sides: -2ab = -4

Divide both sides by -2: ab = 2

So, the value of ab is 2.

Explanation

Let N of 1/12 = 3/48.

Then, N = 3/48 x 12 = 3/4

Explanation

Savings % = (100 – 65) % = 35 %

Saving = 35 % of Rs. 720

= Rs(35/100 ×720) = Rs. 252