GS: Hindi / English · Language questions stay in their original language.
120 questions · 120 marks · 2 hours
Choose one option per question.
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Correct answer: (A) 1
Add inside the bracket first: 1 + 27/169 = 196/169. Its square root is 14/13. Then 1 + x/13 = 14/13 gives x/13 = 1/13, so x = 1.
The Commission's published key gives (D), but the arithmetic yields x = 1, so option (A) is shown here for the sake of learning.
Correct answer: (B) 9 m
The volume of the sphere is 36π cm³ and the cross-section of the wire is 0·04π cm². So the length of the wire is 900 cm, that is 9 m.
Correct answer: (C) 16⅔
The loss on 30 chairs equals the selling price of 6, so 30 × cost = 36 × selling price, that is selling price = (5/6) × cost. The loss is a sixth of the cost, so the loss per cent = (1/6) × 100 = 16⅔%.
Correct answer: (E) None of the above
The digits must differ by 5 and multiply to 36, which makes the number 94. That is not among options A to C, so the answer is ‘None of the above’.
Correct answer: (C) 3
Given a + b + c = 0, the identity a³ + b³ + c³ = 3abc holds, and the sum of the terms is (a³ + b³ + c³)/abc = 3.
Correct answer: (D) More than one of the above
Put t = 4ˣ, so 4t + 4/t = 10, that is 2t² − 5t + 2 = 0, giving t = 2 or t = 1/2. So x = 1/2 or −1/2—both options are correct.
Correct answer: (A) x − 2
The divisor = (polynomial − remainder) ÷ quotient = (x³ − 3x² + 3x − 2) ÷ (x² − x + 1). The numerator factorises as (x − 2)(x² − x + 1), so g(x) = x − 2.
Correct answer: (A) 231 cm³
The radius of the hemisphere is 3·5 cm and the height of the cone is 14·5 − 3·5 = 11 cm. The total volume = πr²(2r + h)/3 = 73·5π = 231 cm³.
Correct answer: (C) 450
By inclusion and exclusion the total membership is 320 + 350 − 220 = 450.
Correct answer: (C) 4 years
Take the present age as x: 1/(x − 2) + 1/(x + 2) = 2/3 gives x² − 3x − 4 = 0. Since the age must exceed 2, x = 4 years.
Correct answer: (D) More than one of the above
Two linear equations have a unique solution when a₁/a₂ ≠ b₁/b₂. Here 1/3 ≠ −k/2 gives k ≠ −2/3. So every value except −2/3—both 1 and 2—gives a unique solution, and more than one option is correct.
Correct answer: (B) 60°
The area of the circle is π × 14² = 616 cm². The angle of the sector = 360° × 102·7 / 616 ≈ 60°.
Correct answer: (B) ₹1,951
The interest is compounded quarterly, so the rate is 16 ÷ 4 = 4% a quarter and 9 months make 3 quarters. The amount = 15625 × (1·04)³ = ₹17,576, so the compound interest = 17576 − 15625 = ₹1,951.
Correct answer: (A) 1
The product of the roots is (k + 8)/(3k) = 3, so k + 8 = 9k and k = 1.
Correct answer: (C) 10
32 = 2⁵ and √2 = 2^(1/2), so log base √2 of 32 = 5 ÷ (1/2) = 10.
Correct answer: (E) None of the above
Take the base as x and the altitude as x − 6: x² + (x − 6)² = 218 gives x = 13, so the other side is 7 cm. Neither 7 and 13 appears in any option, so the answer is ‘None of the above’.
Correct answer: (D) More than one of the above
A voltmeter measures potential difference directly, and a potentiometer is used to measure potential as well. So both A and C are correct.
Correct answer: (B) vector quantity
A magnetic field has a direction as well as a magnitude, so it is a vector quantity.
Correct answer: (B) standing position
The weight is the same in all three positions, but pressure = force ÷ area. Standing, the whole weight rests on the small area of the soles, so the pressure on the Earth is greatest then.
Correct answer: (B) violet
Of the colours of light a prism bends violet the most, since it has the shortest wavelength; red bends the least.
Correct answer: (B) fall
Ice (density 0·92) is denser than kerosene (about 0·8), so the piece sinks and displaces oil equal to its whole volume. On melting it becomes water of smaller volume, so the level of the oil falls.
Correct answer: (B) Blood plasma
The pH of blood plasma is about 7·4, which is above 7. Gastric juice and vinegar are both acidic.
Correct answer: (C) 2 cm
In a normal eye the distance from the lens to the retina is about 2·5 cm, and when looking at infinity the focal length is nearly the same—about 2 cm. The 25 cm is the least distance of distinct vision, not the focal length.
Correct answer: (B) Bleaching powder
Chlorine acting on dry slaked lime gives bleaching powder.
Correct answer: (B) heredity
The passing of characters from parent to offspring is called heredity. Variation is the difference between those characters, and the gene is the unit that carries them.
Correct answer: (B) Ammeter should be connected in series and voltmeter in parallel
While verifying Ohm's law the ammeter is joined in series and the voltmeter in parallel with the component.
Correct answer: (A) Hydrogen gas and iron chloride are produced
Iron reacts with dilute hydrochloric acid to give iron chloride and hydrogen gas: Fe + 2HCl → FeCl₂ + H₂.
Correct answer: (B) afforestation
Afforestation reduces soil erosion and surface run-off, so it helps to check floods.
Correct answer: (C) zinc is more reactive than tin
Zinc is more reactive than tin and can react with the acids in food, so food cans are coated with tin.
Correct answer: (D) More than one of the above
The ovaries form the ovum and secrete both progesterone and oestrogen, so A, B and C are all correct.
Correct answer: (B) Tartaric acid
Tamarind holds mainly tartaric acid.
Correct answer: (A) bacteria present in the digestive tract of animals
Coliforms are bacteria found in the digestive tract of human beings and other animals.
Correct answer: (B) Padma Shri Bimal Patel
The architect of India's new Parliament building project was Bimal Patel.
Correct answer: (A) 10 to 15 percent
Even after the Government of India Act of 1935 the franchise stayed tied to conditions of property and education, so only about 10 to 15 per cent of the adult population could vote.
Correct answer: (B) Madhya Pradesh
In April 2023 Madhya Pradesh decided to give the transgender community the status of Other Backward Classes.
Correct answer: (B) Morocco
Ibn Battuta was a famous traveller from Morocco, who came to India in the reign of Muhammad bin Tughlaq.
Correct answer: (C) Jammu and Kashmir
India's first cable-stayed rail bridge is the Anji Khad bridge, part of the Udhampur–Srinagar–Baramulla rail project in Jammu and Kashmir.
Correct answer: (A) Gujarat
India's first semiconductor manufacturing plant was announced for Gujarat.
Correct answer: (C) Erwin
During the Champaran Satyagraha of 1917 Gandhiji was ordered to leave the district and was prosecuted. It was Erwin, the sub-divisional officer at Bettiah, who pressed that action. Gandhiji refused to obey, and in the end an inquiry committee was appointed.
Correct answer: (D) More than one of the above
The I2U2 grouping has four countries—India, Israel, the UAE and the United States. The I2 stands for the two beginning with I and the U2 for the two beginning with U, so more than one of the options is correct.
Correct answer: (A) Russian President Vladimir Putin
On 17 March 2023 the International Criminal Court issued an arrest warrant against the Russian President, Vladimir Putin, on the charge of the unlawful deportation of children from Ukraine.
Correct answer: (A) Papua New Guinea
The third FIPIC summit was held in Papua New Guinea in May 2023.
Correct answer: (C) New York
Rowan Wilson was appointed the first black Chief Judge of New York.
Correct answer: (B) USA
A parliamentary committee of the United States recommended that India be made part of the ‘NATO Plus’ grouping.
Correct answer: (A) Georgi Gospodinov
The International Booker Prize for 2023 went to the Bulgarian writer Georgi Gospodinov and his translator Angela Rodel.
Correct answer: (B) Linda Yaccarino
Linda Yaccarino was appointed the new CEO of Twitter, now X.
Correct answer: (E) None of the above
By the 2011 Census the female literacy rate of Bihar was 51·5%, which is not among the options.
Correct answer: (C) papier-mâché massy artist
Subhadra Devi, awarded the Padma Shri, is known for the papier-mâché (massy) craft of Madhubani.
Correct answer: (C) Kadamba
The Munda and Santhal communities of Chota Nagpur hold the kadamba tree sacred.
Correct answer: (D) More than one of the above
Muskmelon, cucumber and watermelon are all grown in the hot zaid season, so more than one option is correct.