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Question : Akash sold a motorcycle to Navin at a profit of 10%. Navin sold it to Vinay at a profit of 20%. Vinay sold it to Vishal at a loss of 5%. If Vishal paid INR 62,700 for the motorcycle, then what was the cost of the motorcycle (in INR ) for Akash?
Option 1: 48,000
Option 2: 48,500
Option 3: 52,500
Option 4: 50,000
Correct Answer: 50,000
Solution : Here CP denotes cost price and SP denotes selling price. SP for Vinay = INR 62700 Loss = 5% CP for Vinay $=\frac{100}{100-\text{Loss}\%}$ × Selling price $= \frac{100}{100-5}×62700=\frac{100}{95}×62700=66000$ SP for Navin = INR 66000 Profit = 20% CP for Navin $=\frac{100}{100+\text{Profit}\%}$ × Selling price $=\frac{100}{100+20}×66000=\frac{100}{120}×66000=55000$
Question : Directions: Study the following histogram of marks in mathematics (out of 50) of students in a class and answer the following question.
If the passing marks in math are 31, the number of students who failed in math is:
Option 1: 10
Option 2: 15
Option 3: 20
Option 4: 25
Correct Answer: 15
Solution : The passing marks are 31, and students who failed are those who scored less than 31. The number of students who failed was 15 and they scored between 25 and 30. Hence, the correct answer is 15.
Question : Improve the underlined part of the sentence. Choose 'No improvement' as an answer if the sentence is grammatically correct.
In the summer, the boar eaten a lot of berries.
Option 1: No improvement
Option 2: eat a lot
Option 3: have ate a lot
Option 4: eats a lot
Correct Answer: eats a lot
Solution : The correct choice is the fourth option.
Explanation:
Eats is the correct form that should be used with the singular subject boar. This sentence would imply that during summers generally, the boar has a habit of consuming a significant quantity of berries.
Question : Which Article of the Indian Constitution defines the duties of the Chief Minister?
Option 1: Article 166
Option 2: Article 163
Option 3: Article 167
Option 4: Article 164
Correct Answer: Article 167
Solution : The correct option is Article 167.
Article 167 of the Indian Constitution addresses the Chief Minister's responsibilities concerning the state's Council of Ministers. It stipulates that all decisions of the Council of Ministers about the administration of state affairs and proposed legislation shall be
Question : For any acute angle $\theta, \sin \theta+\sin^2 \theta=1$, then the value of $\cos^2 \theta+\cos^4 \theta=$___________.
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: –1
Correct Answer: 1
Solution : Given: $\sin \theta+\sin ^2 \theta=1$ ⇒ $\sin\theta = 1- \sin^2\theta$ ⇒ $\sin \theta = \cos^2\theta$ $\cos^2 \theta+\cos^4 \theta= \sin\theta + \sin^2\theta = 1$ Hence, the correct answer is 1.
Question : Gorakhpur is the headquarters of _______ Railway of India.
Option 1: North-Eastern
Option 2: Northern
Option 3: Eastern
Option 4: Western
Correct Answer: North-Eastern
Solution : The correct answer is North-Eastern.
The North Eastern Railway, headquartered in Gorakhpur, operates with divisions in Varanasi, Lucknow, and Izatnagar. Prioritising passenger services, it offers dependable transportation in Uttar Pradesh, Uttaranchal, and Western Bihar. The railway plays a vital role in the socio-economic and
Question : ATM is the abbreviation for:
Option 1: Automatic Teller Machine
Option 2: Automated Teller Machine
Option 3: Authentic Teller Machine
Option 4: Authorised Teller Machine
Correct Answer: Automated Teller Machine
Solution : The correct answer is Automated Teller Machine.
ATM is also known as Automated Teller Machine. These are cash dispensing machines. It is a specialised digital computer machine that allows bank transactions and transfer of money without the requirement of any bank representative.
Question : X and Y together can do a piece of work in 45 days. If Y alone can complete it in 180 days, then in how many days X alone can complete the work?
Option 1: 90 days
Option 2: 40 days
Option 3: 60 days
Option 4: 80 days
Correct Answer: 60 days
Solution : X and Y together in 1 day can do $\frac{1}{45}$ part Y alone in 1 day can do $\frac{1}{180}$ part So, X alone in 1 day can do = $\frac{1}{45}$ – $\frac{1}{180}$ = $\frac{1}{60}$ part of the work Thus, X alone can complete the
Question : Three numbers are in the ratio 5 : 7 : 12. If the sum of the first and the third numbers is greater than the second number by 50. The sum of the three numbers is:
Option 1: 125
Option 2: 120
Option 3: 95
Option 4: 85
Correct Answer: 120
Solution : Let the first number be 5x, the second number be 7x, and the third number be 12x. According to the question, 5x + 12x = 7x + 50 ⇒ 10x = 50 $\therefore$ x = 5 The required sum of the numbers is: 5x +
Question : Directions: Among five objects named K, L, M, N, and O, the weight of M is 60 kg. L is twice as heavy as N. O weighs thrice as heavy as L. K weighs half the weight of O. If K weighs equal to M, what is the weight of N?
Option 1: 30 kg
Option 2: 20 kg
Option 3: 80 kg
Option 4: 40 kg
Correct Answer: 20 kg
Solution : Given: K = M = 60 kg, L = 2N, O = 3L, K = O ÷ 2
As per the given information the weight of K and M is the same and M is 60 kg, so the weight of K will also
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