DHS 2022 Grade-4

Multiplication and division of fractions are performed left to right; simplify by multiplying by reciprocals. The two negative signs produce a positive result, and the expression reduces to 1/2.

Let the smaller number be x. Then x + (x + 10) = 74, so 2x = 64 and x = 32. The numbers are 32 and 42.

For a rectangle, P = 2(l + w). Thus l = P/2 − w = 6.5 − 2.75 = 3¾ cm.

By the Pythagorean theorem, the missing side is √(5² − 3²) = √16 = 4 cm.

Prime factorization: 2028 = 2² × 3 × 13². The odd exponent of 3 must be paired, so multiply by 3 to make every prime exponent even.

A 20% increase is 0.20 × ₹34,000 = ₹6,800. New price = ₹34,000 + ₹6,800 = ₹40,800.

For fixed work, workers and time are inversely proportional. Required workers = 15 × 48/30 = 24 workers.

Unit price = ₹210 ÷ 5 = ₹42 per metre. Cost of 13 metres = 13 × ₹42 = ₹546.

Let the number be 10x + y. Reversal gives 10y + x; the difference is 9(y − x) = 63, so y − x = 7. Among the choices, 29 satisfies the condition.

India became the world’s most populous country, surpassing China, according to the UN population estimates published in 2023.

Sri Jayawardenepura Kotte is Sri Lanka’s legislative capital; Colombo remains its largest city and major commercial centre. The paper’s keyed option is Colombo.

Indira Gandhi received the Bharat Ratna in 1971, becoming the first woman recipient.

Jawaharlal Nehru wrote The Discovery of India while imprisoned at Ahmednagar Fort during 1942–1945.

Soviet cosmonaut Yuri Gagarin became the first human in space on 12 April 1961, aboard Vostok 1.

Guru Nanak Dev (1469–1539) founded Sikhism and was the first of the ten Sikh Gurus.

Sardar Vallabhbhai Patel is known as the Iron Man of India for his role in integrating princely states after independence.

India observes Teachers’ Day on 5 September, the birth anniversary of former President and teacher Dr. Sarvepalli Radhakrishnan.

Uma Bharti is an Indian politician who served as Chief Minister of Madhya Pradesh; she was not a President of India.

The World Health Organization (WHO) is headquartered in Geneva, Switzerland.