Explanation

• The Muhammadan Anglo-Oriental College was founded by Sir Syed Ahmad Khan in 1875, initially as a primary school, with the intention of turning it into a college-level institution.
• In 1877, the school was raised to college level.
• Lord Lytton, the Viceroy of India at the time, laid the foundation stone of the Muhammadan Anglo-Oriental College (MAO College) on January 8, 1878.
• The college was later upgraded to Aligarh Muslim University (AMU) in 1920.

Explanation

Combined rate = 1/8 + 1/24 = 1/6.

Hence, time taken together = 6 days.

Explanation

60% of total = 420 → total x = 420 ÷ 0.6.

Hence, total oranges = 700.

Explanation

Add length and width → 8 + 3 = 11.

Multiply by 2 → 2 × 11 = 22 cm.

Explanation

c² = 150² + 200² = 62500.

c = 250 cm.

Explanation

75% had at least one lunch → 25% had none.

25% × 96 = 24 people ate neither.

Explanation

Simplify each term: (2/3 × 45) = 30, 3⅘ = 3.8, 20.

Total = -19.

Explanation

A number divisible by 7, 11 and 13:

= LCM of 7, 11 and 13

= 1001

A number which is multiple of 1001 is of the form:

Xyz xyz …….. (digits repeating)

Answer: 624624

Explanation

Common ratio r = 2.

Sum of 10 terms = 3 × (2¹⁰ - 1) = 3069

Explanation

Each pair (2,5), (4,7), (17,6) has no common factor other than 1.

Hence, they are co-prime (relatively prime) numbers.