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Question : Aditya can complete a grill painting job in 20 hours, while Vinay can complete the same work in 15 hours. If Aditya and Vinay both work together, then in how many hours will the painting work be completed?
Option 1: $10 \frac{2}{3}$ hours
Option 2: $10$ hours
Option 3: $12$ hours
Option 4: $8 \frac{4}{7}$ hours
Correct Answer: $8 \frac{4}{7}$ hours
Solution : Given: Aditya can complete a grill painting job in 20 hours. Vinay can complete the same work in 15 hours. Let the total work be LCM of (20, 15) = 60 units ⇒ Efficiency of Aditya = $\frac{60}{20} = 3$ units/hour ⇒ Efficiency
Question : Which of the following is an extinct species?
Option 1: Hornbill
Option 2: Andaman wild pig
Option 3: Pink head duck
Option 4: Andaman teal
Correct Answer: Pink head duck
Solution : The correct option is Pink head duck.
The extinct species among the options you provided is the Pink-headed duck. The Pink-headed duck is a species of waterfowl that is believed to be extinct, with the last confirmed sightings dating back to the
Question : A train 180 m long moving at a speed of 20 m/sec overtakes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in:
Option 1: 6 sec
Option 2: 9 sec
Option 3: 18 sec
Option 4: 27 sec
Correct Answer: 18 sec
Solution : Distance = length of train = 180 m Speed of train = 20 m/s Speed of main = 10 m/s The direction of both the train and the man is the same. So, relative speed = 20 - 10 = 10 m/s Required time
Question : $\triangle \mathrm{ABC} \sim \triangle \mathrm{DEF}$ and the perimeters of these triangles are 32 cm and 12 cm, respectively. If $\mathrm{DE}=6 \mathrm{~cm}$, then what will be the length of AB?
Option 1: 16 cm
Option 2: 14 cm
Option 3: 12 cm
Option 4: 18 cm
Correct Answer: 16 cm
Solution : If two triangles are similar, then their perimeters are directly proportional to the length of their corresponding sides. So, $\frac{\text{Perimeter of $\triangle$ABC}}{\text{Perimeter of $\triangle$ABC}}= \frac{AB}{DE} = \frac{32}{12}$ ⇒ $AB = \frac{32}{12}\times 6$ ⇒ $AB = 16\ \mathrm{cm}$ Hence, the correct answer is 16 cm.
Question : If $a+\frac{1}{a-2}=4$, then the value of $(a-2)^{2}+(\frac{1}{a-2})^{2}$ is:
Option 1: 0
Option 2: 2
Option 3: –2
Option 4: 4
Correct Answer: 2
Solution : Given: $a+\frac{1}{a-2}=4$ Subtracting 2 from both sides, ⇒ $a-2+\frac{1}{a-2}=2$ Squaring both sides, ⇒ $( a-2)^2+\frac{1}{( a-2)^2} + 2=2^2$ ⇒ $( a-2)^2+\frac{1}{( a-2)^2}=2^2-2$ ⇒ $( a-2)^2+\frac{1}{( a-2)^2}=2$ Hence, the correct answer is 2.
Question : The mahogany tree is found in which of the following types of vegetation?
Option 1: Mangrove forests
Option 2: Tropical evergreen forests
Option 3: Tropical thorn forests
Option 4: Montane forests
Correct Answer: Tropical evergreen forests
Solution : The correct answer is Tropical evergreen forests
Tropical evergreen forests are prevalent in areas characterised by consistently high temperatures and abundant rainfall. These ecosystems, often referred to as rainforests, support a diverse array of plant and animal life. Among the notable flora found
Question : The Rourkela steel plant was set up in collaboration with Germany in which the state of India?
Option 1: Jharkhand
Option 2: Bihar
Option 3: Assam
Option 4: Odisha
Correct Answer: Odisha
Solution : The correct option is Odisha.
One of India's biggest steel production sites is the Rourkela Steel Plant. It is located in the city of Rourkela in the Sundargarh district of Odisha. One of India's earliest integrated steel factories, the Rourkela Steel Plant was founded in
Question : In a 1500 m race, Anil beats Bakul by 150 m, and in the same race, Bakul beats Charles by 75 m. By what distance does Anil beat Charles?
Option 1: 217.50 m
Option 2: 200.15 m
Option 3: 293.50 m
Option 4: 313.75 m
Correct Answer: 217.50 m
Solution : In 1500 m race, Anil beats Bakul by 150 m. When Anil completes the race, Bakul covers 1500 – 150 = 1350 m Bakul beats Charles by 75 m in 1500 m race. So in a 1350 m race, Bakul is ahead of Charles
Question : P can fill a tank in 5 hours, and Q can fill the same tank in 10 hours. R can empty the same tank in 20 hours. How much time will all the three take together to fill the same tank?
Option 1: 10 hours
Option 2: 4 hours
Option 3: 6 hours
Option 4: 5 hours
Correct Answer: 4 hours
Solution : P can fill a tank in 5 hours. Q can fill the same tank in 10 hours. R can empty the same tank in 20 hours. P's per hour efficiency = $\frac{1}{5}$ Q's per hour efficiency = $\frac{1}{10}$ R's per hour efficiency = $-
Question : Select the correct passive form of the given sentence.
May you achieve success in all your endeavours.
Option 1: May success will be achieved by you in all your endeavours.
Option 2: Success might be achieved by you in all your endeavours.
Option 3: May success be achieved by you in all your endeavours.
Option 4: Success has been achieved by you in all your endeavours.
Correct Answer: May success be achieved by you in all your endeavours.
Solution : The correct choice is the third option.
Explanation: In a passive voice construction, the subject of the sentence receives the action, and the focus is on the action rather than the doer. The verb "achieve" becomes
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