Explanation

Let's compare the fractions:

• 1/2​=0.5

• 4/5​=0.8

• 5/8​=0.625

Clearly,

4/5​>5​/8>1/2​

Correct answer: (B) 4/5

Explanation

We are given the equation:

$$7\times ?=4400$$

To find the missing number, divide both sides by 7:

?=4400/7​

Now calculate:

4400/7​=628.5714…

This is not an integer, so none of the options (A) 7, (B) 70, or (C) 4900 are correct.

 Correct answer: (D) None of these

Explanation

 We are given:

• 6 kangaroos eat 6 bags in 6 days

We are asked:
How many kangaroos will eat 100 bags in 100 days?

Step 1: Understand the rate

From the first statement:

6 kangaroos eat 6 bags in 6 days.
So, 1 kangaroo eats 1 bag in 6 days.

Therefore, in 1 day, 1 kangaroo eats 1/6 of a bag.

So, in 100 days, 1 kangaroo eats:

Now, let N be the number of kangaroos needed to eat 100 bags in 100 days.

If each kangaroo eats $frac{100}{6}$/6bags in 100 days, then:

Explanation

We are given two equations:

Let:

• Cost of one apple = x

• Cost of one orange = y

From the problem:

1. $4x + 2y = 30$
   

2. $$x+3y=15

   
   Step 1: Solve the system of equations

Equation (1):
$4x + 2y = 30$
Divide the whole equation by 2:
→ $2x + y = 15$→ (3)

Equation (2):
$x + 3y = 15$ → (2)

Step 2: Solve equations (2) and (3)

From (3):
$y = 15 - 2x$ → (4)

Substitute (4) into (2):
$x + 3(15 - 2x) = 15$
$x + 45 - 6x = 15$
$-5x+45=15$
$-5x=15-45=-30$
$$x=−30−5=6

Explanation

 We are given:

• Red balls = 8

• Blue balls = 7

• Green balls = 6

Total balls = 8 + 7 + 6 = 21

We are asked to find the probability that the ball is neither red nor green.

That means we want the probability that the ball is blue.

Number of favorable outcomes = Number of blue balls = 7

Probability = (Favorable outcomes) / (Total outcomes)

= 7/31

=1/3
$$721=13frac{7}{21} = frac{1}{3}

Explanation

Given:

• 10 lb of meat at Rs 1.69 per lb

• 20 lemons at Rs 60 per dozen

Step 1: Cost of meat

$$10 text{ lb} times 1.69 = 16.90$$

Step 2: Cost of lemons

• 1 dozen = 12 lemons

• So, price per lemon = $frac{60}{12} = 5$ Rs per lemon

• 20 lemons =$20\times 5=100$ Rs

  Step 3: Total cost

$$16.90 + 100 = 116.90$$

 Correct answer: (D) None of these

Explanation

2x=32

Step 1: Express 32 as a power of 2

32=2^5

Step 2: Set the exponents equal

2^x=2^5⇒x=5

 Correct answer: 5

Explanation

We are given:

• Product of two numbers = 1320

• HCF (Highest Common Factor) = 6

We are asked to find the LCM (Least Common Multiple).

Key formula:

$$\text{Product of two numbers}=\text{HCF}\times \text{LCM}$$

Substitute values:

$$1320 = 6 times text{LCM}$$LCM=32061​=220

Explanation

Explanation