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Question : Directions: If 27 * 4 = 77 and 31 * 9 = 239, then 21 * 6 = ?
Option 1: 94
Option 2: 107
Option 3: 99
Option 4: 106
Correct Answer: 99
Solution : Given: 27 * 4 = 77 and 31 * 9 = 239
Like, 27 * 4 = 77→27 × 4 = 108; 27 + 4 = 31; 108 – 31 = 77 And, 31 * 9 = 239→31 × 9 = 279; 31 + 9
Question : PQR is an equilateral triangle and the centroid of triangle PQR is point A. If the side of the triangle is 12 cm, then what is the length of PA?
Option 1: $4 \sqrt{3}$ cm
Option 2: $8 \sqrt{3}$ cm
Option 3: $2 \sqrt{3}$ cm
Option 4: $\sqrt{3}$ cm
Correct Answer: $4 \sqrt{3}$ cm
Solution :
Given: PQR is an equilateral triangle and the centroid of triangle PQR is point A. The side of the triangle is 12 cm. The equilateral triangle circumradius = $\frac{\text{side}}{\sqrt3}$. The equilateral triangle's centres are all located at the same point. Whether it's a
Question : Two trains X and Y start from Jodhpur to Jaipur and from Jaipur to Jodhpur, respectively. After passing each other they take 4 hours 48 minutes and 3 hours 20 minutes to reach Jaipur and Jodhpur, respectively. If X is moving at 45 km/hr, the speed of Y is:
Option 1: 60 km/hr
Option 2: 58 km/hr
Option 3: 54 km/hr
Option 4: 64.8 km/hr
Correct Answer: 54 km/hr
Solution : We know, $\frac{\text{Speed of X}}{\text{Speed of Y}}=\sqrt{\frac{\text{Time taken by Y after crossing X}}{\text{Time taken by X after crossing Y}}}$ $⇒\frac{45}{\text{Speed of Y}}=\sqrt{\frac{\text{3 hour 20 min}}{\text{4 hour 48 min}}}=\sqrt{\frac{\text{200 min}}{\text{288 min}}}=\sqrt{\frac{100}{144}}$ $⇒\frac{45}{\text{Speed of Y}}=\frac{10}{12}$ $\therefore \text{Speed of Y}=54$ km/hr Hence, the correct answer is 54
Question : In August 2021, the Ministry of Labour and Employment launched the ________ portal for creating a National Database of Unorganised Workers (UWs).
Option 1: UMANG
Option 2: e-Rozgaar
Option 3: eGyan
Option 4: eShram
Correct Answer: eShram
Solution : The correct answer is eShram.
Ministry of Labour & Employment launched the eShram portal, a National Database of Unorganised Workers on 26th August 2021. It has been made available to the states/UTs for registration of organised workers including migrant workers and domestic workers on
Question : What is Dakshin Gangotri?
Option 1: River valley in Andhra Pradesh
Option 2: Unmanned station located in Antarctica
Option 3: The second source of the River Ganga
Option 4: Island in the Indian Ocean
Correct Answer: Unmanned station located in Antarctica
Solution : The correct answer is the Unmanned station located in Antarctica.
In Antarctica, India has three research stations: Bharati, Dakshin Gangotri and Maitri. They study the age of Antarctic ice and the rate at which it melts. They also conduct research
Question : What powers the Earth's internal heat engine?
Option 1: Solar Energy
Option 2: Volcanoes
Option 3: Radioactive energy
Option 4: Tides
Correct Answer: Radioactive energy
Solution : The correct answer is Radioactive energy.
The planet's internal heat engine is fuelled by residual heat from Earth's origin as well as heat from radioactive material decay. Radioactive atoms have energy that they spontaneously release as high-energy subatomic particles or electromagnetic waves.
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: I. Some L are G. II. All M are L. Conclusion: I. All L are M. II. Some G are not M. III. No M is G.
Option 1: Both conclusions I and II follow
Option 2: No conclusion follows
Option 3: Both conclusions I and III follow
Option 4: Both conclusions II and III follow
Correct Answer: No conclusion follows
Solution : According to the given statements, the Venn diagram is given below – Let's analyse the conclusions – Conclusion (I): All L are M – It is clearly shown in the diagram all M are L which means M is a part of L.
Question : Direction: In the following question, which number is wrong in the given series?
12439, 23549, 34659, 45769, 57689.
Option 1: 34659
Option 2: 23549
Option 3: 57689
Option 4: 12439
Correct Answer: 57689
Solution : Given:
12439, 23549, 34659, 45769, 57689
The pattern is:
12439
1 + 1 = 2
2 + 1 = 3
4 + 1 = 5
3 + 1 = 4
9 is constant.
Similarly, 23549, 34659
45769
5 + 1
Question : longitude is geographically significant to India because
Option 1: it determines the Indian Standard Time
Option 2: It has a bearing on the tropical climate of India
Option 3: it divides into Eastern and Western Zones
Option 4: it enables determining local time in eastern India
Correct Answer: it determines the Indian Standard Time
Solution : The correct answer is it determines the Indian Standard Time.
82 1/20 E is also known as Indian Standard Time. This longitude passes nearly through the middle of India and it is 5 hrs 30 minutes ahead of Greenwich
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
This matter admits no excuses.
(1) admits for
(2) admits to
(3) admits of
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
The phrase "admits of" is an idiom that means to allow or permit. It is often used to express the possibility or feasibility of something. In the given context, it is the most appropriate choice to
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