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Question : The following table shows the amount (in INR' 000 ) received by a store-owner by selling 5 different brands of milk during a given month.
The price per litre of milk of all the brands is INR 40. How many litres of milk, of all the brands taken together were sold by the store during that month?
Option 1: 7800 litres
Option 2: 7500 litres
Option 3: 7200 litres
Option 4: 8100 litres
Correct Answer: 7500 litres
Solution : Given: The price per litre of milk of all the brands is INR 40 per litre. The total volume of the milk = $\frac{\text{The total amount}}{\text{The cost per litre}}$ The total amount = 62000 + 56000 + 72000 + 41000 + 69000 = 300000
Question : The angle of elevation of the sun changes from 30° to 45°. The length of the shadow of a pole decreases by 4 metres and the height of the pole is: (Assume $\sqrt3$ = 1.732)
Option 1: 1.464 m
Option 2: 9.464 m
Option 3: 3.648 m
Option 4: 5.464 m
Correct Answer: 5.464 m
Solution : Let $AB = h$ be the pole. In $\triangle ABC$, $\tan$ 45° = $\frac{AB}{BC}$ ⇒ 1 = $\frac{h}{BC}$ ⇒ $AB = BC = h$ In $\triangle ABD$, $\tan$ 30° = $\frac{h}{h+4}$ ⇒ $\frac{1}{\sqrt3}$ = $\frac{h}{h+4}$ ⇒ $h+4 = \sqrt3h$ ⇒ $h = \frac{4}{\sqrt3-1}$ =
Question : The total surface area of a hemisphere is 462 cm2. The diameter of this hemisphere is:
Option 1: 28 cm
Option 2: 21 cm
Option 3: 7 cm
Option 4: 14 cm
Correct Answer: 14 cm
Solution : Here, the total surface area of a hemisphere = 462 cm2 ⇒ $3\pi r^2 = 462$ ⇒ $ 3 \times \frac{22}{7} \times r^2= 462$ ⇒ $r^2= 49$ ⇒ $ r = 7$ cm $\therefore$ Diameter of the hemisphere $= 2r = 2 \times
Question : The largest delta of the world is ?
Option 1: Sunderbans
Option 2: Amazon Basin
Option 3: Greenland
Option 4: Congo Basin
Correct Answer: Sunderbans
Solution : The correct answer is Sunderbans.
The Ganges-Brahmaputra Delta, also known as the Sundarbans Delta, is the biggest delta in the world. It is created by the meeting of the Ganges, Brahmaputra, and Meghna rivers and is situated in the Bengal area of the Indian subcontinent.
Question : The ratio of the investments of A and B in a business is 7 : 5, and the ratio of their profits at the end of a year is 2 : 5. If A invested the money for 6 months, then for how much time (in months) has B invested his money?
Option 1: 12
Option 2: 21
Option 3: 24
Option 4: 18
Correct Answer: 21
Solution : Given: The investments of A and B in a business = 7 : 5 Profits at the end of a year = 2 : 5 Let the time of investment of B is $x$ months The ratio of time of investment of A and B
Question : Totaram Sharma is associated with which of the following instruments?
Option 1: Tanpura
Option 2: Panchavadyam
Option 3: Pakhawaj
Option 4: Sarangi
Correct Answer: Pakhawaj
Solution : The correct option is Pakhawaj.
Totaram Sharma is associated with the Pakhawaj, a traditional Indian percussion instrument. The Pakhawaj is a double-headed barrel-shaped drum commonly used in Hindustani classical music and is known for its rich and deep sound.
Question : A black card given to a badminton player during the game indicates:
Option 1: suspension
Option 2: fault
Option 3: warning
Option 4: disqualification
Correct Answer: disqualification
Solution : The correct answer is disqualification.
In the sport of badminton, a black card indicates the disqualification of a player. The issuance of a black card signifies a violation of the rules or code of conduct, and the player receiving it is immediately disqualified from
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. 14 7 196 15 6 ? 21 7 294
Option 1: 180
Option 2: 199
Option 3: 253
Option 4: 144
Correct Answer: 180
Solution : Given: 14 7 196 15 6 ? 21 7 294
Solve according to row wise. In each row multiply the first and the second number and the resultant is doubled to obtain the third number.
Row I: 14 7 196→(14 × 7) × 2 =
Question : 'Lavani' is a dance form of which state in India?
Option 1: Maharashtra
Option 2: Gujarat
Option 3: Madhya Pradesh
Option 4: Andhra Pradesh
Correct Answer: Maharashtra
Solution : The correct option is - Maharashtra.
Lavani is a popular folk dance and music form in Maharashtra, India. Traditional singing and dance are combined to create Lavani, which is most often performed to the rhythms of the percussion instrument Dholki. Lavani has made a significant
Question : What is the solution of the following equations? 2x + 3y = 12 and 3x – 2y = 5
Option 1: x = 3, y = 2
Option 2: x = 2, y = 3
Option 3: x = –2, y = 3
Option 4: x = 3, y = –2
Correct Answer: x = 3, y = 2
Solution : Given: The equations are 2x + 3y = 12 and 3x – 2y = 5. Find the values of the variables x and y by solving the simultaneous linear equations. 2x + 3y = 12 (equation 1) 3x – 2y
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