Explanation

• .JPG (JPEG): A commonly used image file format, usually for photographs.

  • .GIF: A graphics format that supports simple animations and limited colors.
  File Formats Supported in Microsoft PowerPoint
  • Windows Media Video: .wmv
  • GIF (Graphics Interchange Format): .gif
  • JPEG (Joint Photographic Experts Group): .jpg
  • PNG (Portable Network Graphics): .png

 Last updated on 12 NOV 2026

Explanation

• Aga Khan III was the first president of the All-India Muslim League, founded in 1906.
• He led the Muslim deputation to the British Viceroy the same year to represent Muslim interests.
• Born: 2 November 1877, Karachi
• Died: 11 July 1957, Versoix, Switzerland
• Burial: Aga Khan Mausoleum, Egypt

Founders of All-India Muslim League:

1. Muhammad Ali Jinnah
2. Aga Khan III
3. Khwaja Salimullah
4. Hakim Ajmal Khan

 Last updated on 12 NOV 2026

Explanation

Tiger, (Panthera tigris), the largest member of the cat family (Felidae)

while

The rusty-spotted cat (Prionailurus rubiginosus) is one of the cat family's smallest members

 Last updated on 12 NOV 2026

Explanation

A's rate = 1/20 job/min

B's rate = 1/30 job/min

Together rate = 1/20 + 1/30

= (3+2)/60

= 1/12 job/min

Time = 1 / (1/12) = 12 minutes

 Last updated on 12 NOV 2026

Explanation

• Musnad Ahmad is unique because it arranges Hadith according to the narrators (Sahaba/Companions).
• It was compiled by Imam Ahmad ibn Hanbal.
• Hadith are grouped under each Companion’s name.
• It contains a large number of narrations.
• It includes both strong and weak Hadith for preservation.

 Last updated on 12 NOV 2026

Explanation

1. Current Ages:

   • Let Zoya’s current age be $x$
   • Then, Zaid’s current age is $6x$ (since he is six times as old as Zoya).

2. The sum of Ages in 7 Years:

   • In 7 years, Zoya's age will be $x + 7$ and Zaid's age will be $6x + 7$.
   • The sum of their ages in 7 years will be $(x+7)+(6x+7)=49$.

Step 1: Formulate the Equation

x+7+6x+7=49
$$7x+14=49$$

Step 2: Solve for $x$

Subtract 14 from both sides:

$$7x=35$$

Now divide by 7:

$$x=5$$

So, Zoya’s current age is $5$ years and Zaid’s current age is:

$$6x=6\times 5=30$$

Step 3: Determine Zaid’s Age When Zoya Was Born

When Zoya was born, Zaid would have been:

$$30-5=25$$

$$Last\; updated\; on\; 12\; NOV\; 2026$$

Explanation

A reflex angle is any angle greater than 180° but less than 360°.

215° fits this definition.

 Last updated on 12 NOV 2026

Explanation

In the Tree of Rumour problem, one person passes the rumour to 2 other people every 5 minutes.

Therefore, the total number of people triples every 5 minutes.

0 minutes → 1 person

5 minutes → 3 persons

10 minutes → 9 persons

15 minutes → 27 persons

20 minutes → 81 persons

Using the formula:

3^20/5 =3^4 =81

 Last updated on 12 NOV 2026

Explanation

Every year population increase = 700

after five year population increase = 5 x 700= 3500

So intial population = 25000-3500=21500

 Last updated on 12 NOV 2026

Explanation

Let's calculate the population after 2 years:

Year 1:

Population = 50,000 + (4% of 50,000)

= 50,000 + 0.04 * 50,000

= 50,000 + 2,000

= 52,000

Year 2:

Population = 52,000 + (4% of 52,000)

= 52,000 + 0.04 * 52,000

= 52,000 + 2,080

= 54,080

The population after 2 years will be 54,080.

 Last updated on 12 NOV 2026