Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

Subtract 216 from 616: 616 - 216 = 400

Add 216 to 400: 400 + 216 = 616

So, the correct answer is 616.

Explanation

To calculate the interest, you can use the formula:

Interest = Principal × Rate × Time

In this case:

Principal (P) = Rs. 500

Rate (R) = 11% per annum = 0.11

Time (T) = 4 years

Interest = 500 × 0.11 × 4 = Rs. 220

So, Mr. Ali has to pay back the principal amount of Rs. 500 plus the interest of Rs. 220, making a total of Rs. 720.

The correct answer is: Rs. 220

Explanation

Here's the completed series:

2 + 18 = 20

20 + 22 = 42

42 + 26 = 68

68 + 30 = 98

The pattern consists of adding consecutive multiples of 2 (18, 22, 26, 30, ...) to obtain the next term.

Explanation

To solve for x, we can add 15 and 6 to both sides of the equation: 3x - 15 - 6 = 0

Adding 15 and 6: 3x = 21

Dividing both sides by 3: x = 21/3

x = 7

Therefore, the value of x is 7.

Explanation

The formula for the volume of a rectangular prism is:

Volume = Length × Width × Height

In this case, the length, width, and height are all 3 cubic inches, so:

Volume = 3 × 3 × 3 = 27 cubic inches

Therefore, the volume is 27 cubic inches.

Explanation

Ali's current age is 32.

His son's current age is 0 (newborn).

We want to find the number of years it takes for Ali's age to be 5 times his son's age.

Let's assume the number of years is x.

After x years, Ali's age will be: 32 + x

And his son's age will be: 0 + x = x

We want Ali's age to be 5 times his son's age, so we set up the equation: 32 + x = 5x

Subtracting x from both sides: 32 = 4x

Dividing both sides by 4: 8 = x

Therefore, it will take 8 years for Ali's age to be 5 times his son's age.

The correct answer is 8 years.

Explanation

Let's set up the equations based on the given information:

1. 2p + 3c = 86 (Equation 1)

2. 4p + 1c = 112 (Equation 2)

where p is the price of a pen and c is the price of a pencil.

To solve for p and c, we can use substitution or elimination. Let's use the elimination method.

First, solve Equation 2 for c:

4p + c = 112

c = 112 - 4p

Now, substitute this expression for c into Equation 1:

2p + 3(112 - 4p) = 86

2p + 336 - 12p = 86

2p - 12p = 86 - 336

-10p = -250

p = 25

So, the price of a pen is 25.

Explanation

To find 30% of 180, you can multiply 180 by 0.3 (which is equivalent to 30%).

180 x 0.3 = 54

So, 30% of 180 is 54!

Explanation

To evaluate this expression, we need to follow the order of operations (PEMDAS):

• Divide 3 by 1/3: 3 ÷ 1/3 = 3 × 3 = 9
• Subtract 9 from 9: 9 - 9 = 0
• Add 1 to 0: 0 + 1 = 1

So, the solution to the equation is 1.

Explanation

Since the sum of the angles in a triangle is always 180 degrees, and two of the angles are already 60 degrees each, the third angle can be found by subtracting the sum of the two known angles from 180:

180 - (60 + 60) = 180 - 120 = 60

So, the third angle is also 60 degrees, making the triangle an equilateral triangle.