Explanation

We are given:

• 27 bicycles passed the lights test.
• 21 bicycles passed the brakes test.
• 1 bicycle failed both tests.
• There are 30 bicycles in total.

Let:

• $L$ be the set of bicycles that passed the lights test.
• $B$ be the set of bicycles that passed the brakes test.

We need to find how many bicycles passed both tests, which is the intersection of sets $L$a nd $B$, or $L cap B$.

The formula for the union of two sets is:

$$|L\cup B|=|L|+|B|-|L\cap B|$$

We know:

• $|L cup B| = 30 - 1 = 29$ (since 1 bicycle failed both tests).
• $|L|=27$
• $|B| = 21$

Substitute the values into the formula:

$$29 = 27 + 21 - |L cap B|$$ $$29 = 48 - |L cap B|$$ $$|L cap B| = 48 - 29 = 19$$

Explanation

1 bat: 140

3 bats: 420

5 bats: 700

Explanation

Explanation

• Total amount = 129,000

• People involved:

  • 5 sons → each gets 5x

  • 4 daughters → each gets 4x

  • 3 nephews → each gets x

Let the amount each nephew gets be x

Now express the total amount in terms of x:

• Nephews: $3x$
  

• Daughters: $4\times 4x=16x$

• Sons: $\mathrm{<br>}$

• Total = $3x+16x+25x=44x$

Set up the equation:

$$44x = 129000 Rightarrow x = frac{129000}{44} = ₹2931.82overline{72}$$44​=2931.8272

Explanation

Let's calculate the values:

• (i) 0.5^2 = 0.25
• (ii) 0.5
• (iii) 0.5^3 = 0.125
• (iv) 3√(0.5) ≈ 1.26

Now, we can arrange them in ascending order (smallest to largest):

iii, i, ii, iv

Therefore, the correct answer is (B).

Explanation

23cm is the correct answer

According to the formula: P= 2(L + W) 96 = 2(25 + B) 96 = 50 + 2B 2B = 96 - 50 B = 46/2 => 23cm  

Explanation

3 to 4 tablespoons in 1ounce
so in 12 ounces,
no. of tablespoons=3x12 to 4x12
=36 to 48
As we r asked maximum no. of tablespoons
Therefore 48 is the answer.

SH31-8-2023

Explanation

1. Let the price of an adult ticket be x
2. The price of a child ticket is x - 240
3. 18500x + 2500(x-240) = 41400000
4. 18500x + 2500x - 600000 = 41400000
5. 21000x = 42000000
6. x = 42000000 / 21000 = 2000

Explanation

Explanation

Given the information that the sum of two numbers is 35 and one number is 8 more than the other, we can set up a system of equations to solve for the numbers.

Let's denote the two numbers as  and , where:

 = one of the numbers

 = the other number

Given:

1. The sum of the two numbers is 35: 

x + y = 35

2. One number is 8 more than the other: 

x = y + 8

Substitute the value of  from the second equation into the first equation:

y + y + 8 = 35

2y + 8 = 35 

2y + 8 = 35 

2y = 27 

y = 13.5

Now, substitute the value of y back into:

x = y +8 

x = 13.5 + 8 

x = 21.5