Explanation

Cost of 15 toys = Rs. 234

Cost of 1 toy = Rs. 234 ÷ 15 = Rs. 15.60

Cost of 35 toys = Rs. 15.60 x 35 = Rs. 546

So, the correct answer is: Rs. 546

Explanation

The pattern of the series appears to be square numbers:

• 1 = 1^2
• 9 = 3^2
• 25 = 5^2
• 49 = 7^2
• 81 = 9^2
• 121 = 11^2

So, the correct completion of the series would be:

1, 9, 25, 49, 81, 121

Explanation

The CP of the gun = Rs. 2500

The SP of the gun = Rs. 900

The loss is = CP - SP = Rs. ( 2500 - 900 )

= Rs. 1600

Hence, the loss incurred by Akbar is 64%.

Explanation

148 divided by 37 equals 4, with no remainder.

Explanation

Multiplying 3.29 by 1000 gives:

3.29 × 1000 = 3290

Explanation

(3x-5) = 4(x-5)

3x -5 = 4x -20 

4x -3x = 20 -5

x=15

Explanation

The mean proportional of two numbers is the square root of their product.

Mean proportional = √(4 × 16) = √64 = 8

Explanation

 My son’s Uncle is my Brother.

Therefore, My brother’s father is my father.

Explanation

Let the distance between the police officer's house and office be D km.
Let the actual time required to reach the office on time be T hours.

Step 1: Forming Equations

Using the speed-time formula:

$$text{Time} = frac{text{Distance}}{text{Speed}}$$Speed​

Case 1: Walking at 4 km/h

D/4​​=T+5/60​

(since he is 5 minutes late, which is 5/60 hours)

Case 2: Walking at 5 km/h

D5​=T−10/60​

(since he is 10 minutes early, which is 10/60 hours)

Step 2: Solving for Distance

From the first equation:

T=D/4​−5/60​

From the second equation:

T=D/5​+10/60​

Equating both expressions for T:

D/4​−5/60​=D/5​+10/60​

Multiply everything by 60 to clear the fractions:

$$60 times left( frac{D}{4} - frac{5}{60} right) = 60 times left( frac{D}{5} + frac{10}{60} right)$$15D−5=12D+10
$$15D-12D=10+5$$$$3D = 15$$ $$D = 5 text{ km}$$

Explanation

Total = 11 + 5 = 16 

Then 11-5 =6 

6x =1200 

= 1200/ 6 

x = 200

Total amount = 16 x 200 

= 3200