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Question : The radius of a cylinder is 10 cm and the height is 4 cm. The number of centimeters that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is:
Option 1: 5 cm
Option 2: 4 cm
Option 3: 25 cm
Option 4: 16 cm
Correct Answer: 5 cm
Solution : The radius of a cylinder = 10 cm Height = 4 cm Let the radius be increased by $x$ cm. ⇒ Volume of cylinder = $\pi(10+x)^{2}×4$----------(i) Let height be increased by $x$ cm. ⇒ Volume of cylinder = $\pi×10^{2}×(4+x)$-------(ii) From equations (i) and (ii),
Question : Which five-year plan emphasised the development of industries and industrial base in India?
Option 1: Second
Option 2: Fourth
Option 3: Third
Option 4: First
Correct Answer: Second
Solution : The correct option is Second.
The second five-year plan (1956–1961) in India emphasised the development of industries, and the industrial base in the country. This plan aimed to promote industrialisation, and economic growth by focusing on sectors like heavy industries, infrastructure development, and scientific
Question : Directions: In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."
Banks were developed to keep people's money safe (1) / and to make it available (2) / when they need it. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the third part of the sentence, as "to" will not be used with "make". The sentences in which two infinitives are connected by "and," the second "to" is typically omitted in order to maintain parallelism.
Therefore, the correct sentence is, "Banks
Question : Amar can complete a work in 15 days and Prem in 12 days. Starting with Amar, they work on alternate days. In how many days will the work be completed?
Option 1: $13\frac{2}{5}$
Option 2: $12\frac{1}{6}$
Option 3: $13\frac{1}{2}$
Option 4: $13$
Correct Answer: $13\frac{2}{5}$
Solution : Given: Time taken by Amar to complete work = 15 days Time taken by Prem to complete work = 12 days Starting with Amar, they work on alternate days. Let the total work = LCM of 15 and 12 = 60 units Amar’s 1 day
Question : The following bar chart shows the quantity (in million kg ) of grains exported by India from 2018-2022. By how much percentage is the minimum export less than the average export in the given period?
Option 1: 67.74%
Option 2: 77.25%
Option 3: 88.25%
Option 4: 38.44%
Correct Answer: 67.74%
Solution : Total export during the period = 47000 + 59000 + 99000 + 20000 + 85000 = 310000 (in million kg) Average $=\frac{\text{Total export}}{\text{Total number of years}} = \frac{310000}{5}=62000$ (in million kg) Minimum export = 20000 (in million kg) So, Difference = 62000 – 20000 =
Question : Directions: Which two signs should be interchanged to make the given equation correct? 7 × 9 + 3 ÷ 7 − 3 = 25
Option 1: ÷ and ×
Option 2: ÷ and +
Option 3: + and ×
Option 4: + and −
Correct Answer: ÷ and +
Solution : Given: 7 × 9 + 3 ÷ 7 − 3 = 25
Replace the given signs in the options one by one with the original signs in the given equation. First option: ÷ and × = 7 ÷ 9 + 3 × 7
Question :
A vitamin requires cobalt for its activity. The vitamin is
Option 1:
Vitamin B12
Option 2:
Vitamin D
Option 3:
Vitamin B2
Option 4: Vitamin A
Correct Answer:
Solution : The correct option is - Vitamin B12
Cobalamin, another name for vitamin B12 , is a water-soluble vitamin which is obtained from foods like dairy, eggs, and red meat. An essential part of vitamin B12 is the mineral salt cobalt.
Question : Directions: Select the option that is related to the fifth number in the same way as the first number is related to the second number and the third number is related to the fourth number. 19 : 359 :: 17 : 287 :: 21 : ?
Option 1: 449
Option 2: 439
Option 3: 441
Option 4: 433
Correct Answer: 439
Solution : Given: 19 : 359 :: 17 : 287 :: 21 : ?
Like, 19 : 359→(19)2 – 2 = 361 – 2 = 359 17 : 287→(17)2 – 2 = 289 – 2 = 287 Similarly, follow the same pattern for 21 –
Question : The Indira Gandhi Award for National Integration is accorded by the:
Option 1: Indian National Congress
Option 2: Indira Gandhi National Open University
Option 3: Ministry of Human Resource Development, Government of India
Option 4: Ministry of Home Affairs, Government of India
Correct Answer: Indian National Congress
Solution : The correct option is the Indian National Congress
The Indian National Congress (INC) party bestows the Indira Gandhi Award for National Integration. It is given to people or organizations in honour of their exceptional support of national integration and mutual understanding between the
Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: All O is C. All C is D. Conclusions: I. Some C is O. II. Some D is C. III. No O is D.
Option 1: Both conclusions II and III follow
Option 2: All conclusions follow
Option 3: Both conclusions I and II follow
Option 4: Both conclusions I and III follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some C is O – From the Venn diagram, it is evident that some parts of the circles representing C
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