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Question : Pipes A, B and C can fill an empty tank in $\frac{30}{7}$ hours if all three pipes are opened simultaneously. A and B are filling pipes and C is an emptying pipe. Pipe A can fill the tank in 15 hours and pipe C can empty it in 12 hours. In how much time (in hours) can pipe B alone fill the empty tank?
Option 1: 3
Option 2: 5
Option 3: 6
Option 4: 4
Correct Answer: 4
Solution : Let the time taken by B be $x$ hour. Work done by B in 1 hr = $\frac{1}{x}$ Work done by (A + B – C) in 1 hr = $\frac{7}{30}$ According to the question: ⇒ $\frac{1}{15} + \frac{1}{x} - \frac{1}{12} = \frac{7}{30}$ ⇒ $\frac{1}{x}
Question : A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative.
I am not sure______wearing this black dress.
Option 1: with
Option 2: in
Option 3: about
Option 4: off
Correct Answer: about
Solution : The third option is correct.
The correct alternative to filling in the blank is about.
The word about is used to indicate uncertainty or hesitation in this context and connects the speaker's uncertainty to the act of wearing the black dress. It is a preposition
Question : Under the Constitution of India, the Constitutional Head of the Executive of the Union is the _________.
Option 1: Prime Minister
Option 2: President
Option 3: Supreme Court Chief Justice
Option 4: Speaker of the Rajya Sabha
Correct Answer: President
Solution : The correct answer is President.
Under the Constitution of India, the Constitutional Head of the Executive of the Union is the "President of India." The president is the state's ceremonial head and the country's highest-ranking constitutional authority.
Question : Ritika purchased 'x' kg wheat at Rs. 30/kg and sold 8 kg of this at Rs. 'x' per kg and remaining at Rs. 45/kg. The overall profit percentage earned is 10%, then what quantity of wheat does Ritika sell at Rs. 45/kg?
Option 1: 18 kg
Option 2: 16 kg
Option 3: 10 kg
Option 4: 14 kg
Correct Answer: 10 kg
Solution : Given: Cost price of wheat = Rs. 30 per kg Selling price of 8 kg = Rs. $x$ per kg The selling price of the remaining wheat = Rs. 45 per kg Overall profit percentage = 10% Total cost price = CP = Rs.
Question : The government launched the Stand-Up India scheme to promote entrepreneurship among _______.
Option 1: disabled Individuals
Option 2: transgender community
Option 3: elderly Individuals
Option 4: women and SC/ST communities
Correct Answer: women and SC/ST communities
Solution : The correct option is women and SC/ST communities.
The government launched the Stand-Up India scheme to promote entrepreneurship among women and Scheduled Caste (SC) and Scheduled Tribe (ST) communities. This initiative aims to empower these underprivileged groups by facilitating loans and
Question : Who among the following invented the diesel engine?
Option 1: Elisha Otis
Option 2: Rudolf Diesel
Option 3: Larry Page
Option 4: Rene Laennec
Correct Answer: Rudolf Diesel
Solution : The correct option is Rudolf Diesel.
The diesel engine, which uses diesel fuel, was created by German mechanical engineer and inventor Rudolf Diesel. In 1897, the Motor 250/400, the first successful diesel engine, underwent formal testing. It is now on display at the
Question : The 'Narmada Water Dispute Tribunal' was constituted to resolve the water sharing between
Option 1: Gujarat and Rajasthan
Option 2: Gujarat and Maharashtra
Option 3: Gujarat, Maharashtra, Rajasthan and Madhya Pradesh
Option 4: Gujarat, Daman and Diu
Correct Answer: Gujarat, Maharashtra, Rajasthan and Madhya Pradesh
Solution : The correct answer is Gujarat, Maharashtra, Rajasthan and Madhya Pradesh.
To settle disagreements over water sharing amongst the Indian states that make up the Narmada River basin, the Narmada Water Dispute Tribunal was established. The Narmada River is one
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 closer 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 : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Can we see (1)________ the earth is a globe? Yes, we can, when we watch a ship that sails out to sea, if we watch closely, we see that the ship begins to (2)________. The bottom of the ship disappears first, and then the ship seems to sink lower and lower, (3)________ we can only see the top of the ship, and then we see nothing at all. What is hiding the ship from us? It is the earth. Stick a pin most of the way into an orange, and (4)________ turn the orange away from you. You will see the pin disappear, (5)________ a ship does on the earth.
Select the most appropriate option to fill in blank no. 3.
Option 1: until
Option 2: after
Option 3: up to
Option 4: since
Correct Answer: until
Solution : The most appropriate choice is the first option.
Explanation: The word until is used to indicate the point in time at which a specific action or event takes place. In this case, it's used to show the progression of the ship disappearing from view
Question : If $\triangle ABC \sim \triangle QRP, \frac{\operatorname{area}(\triangle A B C)}{\operatorname{area}(\triangle Q R P)}=\frac{9}{4}, A B=18 \mathrm{~cm}, \mathrm{BC}=15 \mathrm{~cm}$, then the length of $\mathrm{PR}$ is:
Option 1: 16 cm
Option 2: 14 cm
Option 3: 10 cm
Option 4: 12 cm
Correct Answer: 10 cm
Solution : Given that $\frac{\text{area}(\triangle ABC)}{\text{area}(\triangle PQR)}=\frac{9}{4}$, BC = 15 cm, AB = 18 cm $\triangle$ ABC ~ $\triangle$ QRP, hence the ratio of areas of two similar triangles is equal to the ratio of the square of their corresponding sides. $\frac{\text{area}(\triangle ABC)}{\text{area}(\triangle PQR)}=\frac{BC^{2}}{PR^{2}}$ $⇒\frac{9}{4} =
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