GS: Hindi / English · Language questions stay in their original language.
120 questions · 120 marks · 2 hours
Choose one option per question.
Tap an option to check it, or open “See answer”.
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) 16 2/3
If one chair sells for s, thirty chairs sell for 30s and the loss is 6s. The cost price is 30s + 6s, so the loss per cent = 6s ÷ 36s × 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
For a unique solution the determinant 2 + 3k must not be zero. Both k = 1 and k = 2 satisfy that, so 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 quarterly rate is 4% and the term three quarters, so the compound interest = 15625[(1·04)³ − 1] = ₹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
√2 = 2^(1/2) and 32 = 2⁵, 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
A person's weight is the same in all three positions, but pressure is force divided by area. Standing puts the whole weight on the small area of the two soles, so the pressure on the Earth is greatest then. Lying down spreads it over the largest area and gives the least pressure.
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 is denser than kerosene, so it sinks. On melting, the water takes less volume than the ice did, so the level 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
The focal length of the lens of a normal eye is about 2 cm.
Correct answer: (B) Bleaching powder
Chlorine acting on dry slaked lime gives bleaching powder.
Correct answer: (B) heredity
The passing of characters from parents to offspring is called heredity.
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
A limited franchise applied to the election of the members of the Constituent Assembly—effectively only some 10 to 15 per cent of the adult population could take part.
Correct answer: (B) Madhya Pradesh
In April 2023 Madhya Pradesh placed the transgender community in the Other Backward Classes list.
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, the Anji Khad bridge, has been built 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 is made up of India, Israel, the UAE and the United States, so all three of the options A, B and C are right.
Correct answer: (A) Russian President Vladimir Putin
On 17 March 2023 the ICC issued an arrest warrant against the Russian President, Vladimir Putin.
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.