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Question : A circular arc whose radius is 4 cm makes an angle of 45º at the centre. Find the perimeter of the sector formed. (Take $\pi=\frac{22}{7}$)
Option 1: $\frac{78}{7} \mathrm{~cm}$
Option 2: $\frac{72}{7} \mathrm{~cm}$
Option 3: $\frac{74}{7} \mathrm{~cm}$
Option 4: $\frac{76}{7} \mathrm{~cm}$
Correct Answer: $\frac{78}{7} \mathrm{~cm}$
Solution : A circular arc whose radius is 4 cm makes an angle of 45° at the centre. Here, radius($r$) = 4 cm and central angle($\theta$) = 45°. We know, The perimeter of the sector in circle = $2\pi r×(\frac{\theta}{360°})$ + 2 × $r$ = $2×\frac{22}{7}×4×\frac{45°}{360°}$
Question : Select the most appropriate indirect form of the given sentence.
“I finished my assignment two hours ago,” she said.
Option 1: She said that she finished my assignment two hours ago.
Option 2: She said that she had finished her assignment two hours before.
Option 3: She said that I finished my assignment two hours before.
Option 4: She said that she has finished her assignment two hours ago.
Correct Answer: She said that she had finished her assignment two hours before.
Solution : The second option is the correct choice.
Narration Conversion:
Question : Ramesh sold a book at a loss of 30%. If he had sold it for Rs. 140 more, he would have made a profit of 40%. The cost price of the book is:
Option 1: Rs. 280
Option 2: Rs. 200
Option 3: Rs. 260
Option 4: Rs. 300
Correct Answer: Rs. 200
Solution : Loss = 30% of cost price ⇒ Selling price = cost price – loss = 70% of cost price 70% of cost Price + Rs.140 = cost price + profit Profit = 40% of cost price ⇒ 70% of cost price + Rs. 140
Question : Directions: If a mirror is placed on the line AB, then out of the option figures which figure will be the right image of the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : The cost of two varieties of tea is INR 300 and INR 375 respectively. If both the varieties of tea are mixed together in the ratio 3 : 2, then what should be the price of mixed variety of tea per kg?
Option 1: INR 340
Option 2: INR 330
Option 3: INR 350
Option 4: INR 360
Correct Answer: INR 330
Solution : Given, The cost of two varieties of tea is INR 300 and INR 375, respectively. Both varieties of tea are mixed together in a ratio 3 : 2. So, the cost of the (3 + 2) i.e., 5 kg of the mixed tea =
Question : Directions: If 11 & 25 = 18, 12 & 20 = 16 then, what is the value of 4 & 50 = ?
Option 1: 42
Option 2: 17
Option 3: 27
Option 4: 37
Correct Answer: 27
Solution : Given: 11 & 25 = 18, 12 & 20 = 16, 4 & 50 = ?
Use the following operations in place of the given symbols & – Like, 11 & 25 = 18→(11 + 25) ÷ 2 = 36 ÷ 2 = 18 And,
Question : The General Insurance (Amendment) Act, 2021 removes the provision that required the Central Government to have at least __________ownership in four subsidiaries of General Insurance Company, namely, National Insurance, New India Assurance, Oriental Insurance, and United India Insurance.
Option 1: 75%
Option 2: 49%
Option 3: 51%
Option 4: 80%
Correct Answer: 51%
Solution : The correct answer is 51%.
The General Insurance (Amendment) Act of 2021 removes the provision that required the Central Government to have at least 51% ownership in four subsidiaries of General Insurance Company, namely, National Insurance, New India Assurance, Oriental Insurance, and United India Insurance.
Question : Two pie charts are given below. There are 6 departments in an office. Pie chart 1 shows the number of males in these 6 departments. The number of males in a particular department is shown as a percentage of total number of males in these 6 departments. Pie chart 2 shows the number of females in these 6 departments. The number of females in a particular department is shown as a percentage of the total number of females in these 6 departments. The difference between the number of males in B and C is 600 and the difference between the number of females in D and E is 900. What is the sum of the number of females in A, B, and F and the number of males in D, E, and A?
Option 1: 26,300
Option 2: 29,400
Option 3: 26,800
Option 4: 25,700
Correct Answer: 26,300
Solution : Given: The difference between the number of males in B and C is 600 and the difference between the number of females in D and E is 900. Male(1%) = $\frac{600}{3}$ = 200 males Females(1%) = $\frac{900}{3}$ = 300 females According to the question, The
Question : Directions: Select the option that represents the letters that, when sequentially placed from left to right in the blanks below, will complete the letter series. M_ _KS_ON_SMO_ K_ _ _NKS
Option 1: ONMNKOMS
Option 2: ONMKNSMO
Option 3: ONMMMMMO
Option 4: NMOKNSMO
Correct Answer: ONMKNSMO
Solution : Given: M_ _KS_ON_SMO_ K_ _ _NKS
To fill the series we have to divide the series – M_ _KS /_ON_S / MO_ K_ / _ _NKS
Let's check the options – First option: ONMNKOMS – MONKS / MONNS
Question : Which park also shares its boundaries with Bangladesh?
Option 1: Sundarbans National Park
Option 2: Kaziranga National Park
Option 3: Kanchenjunga National Park
Option 4: Panna National Park
Correct Answer: Sundarbans National Park
Solution : The correct option is Sundarbans National Park.
Sundarbans National Park is India's oldest and largest wildlife sanctuary. It is situated in the West Bengal river delta created by the confluence of the Ganges, Brahmaputra, and Meghna rivers. This park shares its boundaries
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