Explanation

Explanation

1. $$$$32−1=31

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

We are given:

• A clock is placed on a table such that at 6:00 pm, the hour hand points to North-East.
• We need to find the direction the minute hand points at 9:15 pm.

At 6:00 pm, the clock is rotated, and the hour hand is pointing North-East. This means the clock's orientation is shifted by 45 degrees.

At 9:15 pm:

• The minute hand will be at the 3 o'clock position, which is 15 minutes past.
• Since the clock is rotated by 45 degrees, the minute hand will point in the South-East direction (shifted by 45 degrees from the usual position).

(A) South-East

Explanation

Given:

$$3 (-4 times 5 - 6)$$

1. Calculate $-4 times 5$:

   $$-4\times 5=-20$$

2. Substitute and simplify inside the parentheses

   $$-20 - 6 = -26$$

3. Now multiply by 3

   $$3 times (-26) = -78$$

Explanation

Total distance:

• Length of the train: 99m
• Length of the station: 231m
• Total distance = Length of the train + Length of the station = 99m + 231m = 330m

Total time: 11 seconds

Speed:

• Speed = Distance / Time
• Speed = 330m / 11s = 30 m/s

Now, we need to convert m/s to km/h:

• 1 m/s = 3.6 km/h

So, 30 m/s = 30 * 3.6 = 108 km/h

Therefore, the speed of the train is 108 km/h.

Explanation

Let's denote the total scholarship grant as "x".

The student spends:

• 15% on food: 0.15x
• 45% on tuition: 0.45x

So, after these expenses, he has:

x - 0.15x - 0.45x = 0.4x remaining.

He then spends 50% of this remaining amount on hostel fees:

0.5 * 0.4x = 0.2x

After this, he is left with Rs 8,000. So, we can set up the equation:

0.4x - 0.2x = 8000

Simplifying the equation:

0.2x = 8000

Dividing both sides by 0.2:

x = 40000

Therefore, the student's scholarship grant is Rs 40,000.

Explanation

• Saima has more than only Mehak.
• Badar has more than Dawood but less than Adil.

From this, we can conclude that Adil has the highest amount of money.

Answer: (C) Adil

Explanation

We know that:

1. x + y = 45
2. 4x = 5y - 9

From the first equation, we can express y in terms of x:

y = 45 - x

Substitute this into the second equation:

4x = 5(45 - x) - 9

Expand and simplify:

4x = 225 - 5x - 9

9x = 216

x = 24

Now, substitute x = 24 into the first equation:

24 + y = 45

y = 21

Therefore, the two parts are 24 and 21.

Explanation