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Question : A train travelling at 36 km/h crosses a pole in 25 seconds. How much time (in seconds) will it take to cross a bridge 350 m long?
Option 1: 72
Option 2: 48
Option 3: 60
Option 4: 56
Correct Answer: 60
Solution : Speed of train = $36 × \frac{5}{18}$ = 10 m/s Time taken = 25 seconds Length of train = 25 × 10 = 250 m Length of bridge = 350 m Total length = length of tran + length of bridge Total length = 250
Question : If $\sec \beta+\tan \beta=2$, then what is the value of $\cot \beta$?
Option 1: $\frac{5}{3}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{4}{3}$
Option 4: $\frac{3}{4}$
Correct Answer: $\frac{4}{3}$
Solution : Given: $\sec \beta+\tan \beta=2$..........(1) We know that $\sec^2 \beta-\tan^2 \beta=1$ ⇒ $(\sec \beta-\tan \beta)(\sec \beta+\tan \beta)=1$ ⇒ $(\sec \beta-\tan \beta)=\frac{1}{2}$...............(2) Subtracting equation (2) from equation (1), we get: ⇒ $2\tan\beta=2-\frac{1}{2}=\frac{3}{2}$ ⇒ $\tan\beta= \frac{3}{4}$ $\therefore \cot\beta=\frac{4}{3}$ Hence, the correct answer is $\frac{4}{3}$.
Question : Comprehension:
Read the following passage and answer the questions.
This year, I celebrated twenty-five years with a Seeing Eye dog. When I came to "The Seeing Eye' in 1983, I had no idea how much my canine partner would do for me. I can well remember walking down a country road independently, with a light step and joy in my heart, knowing that Novel, my first Seeing Eye dog, would keep me safe.
Since that glorious beginning, my dogs have seen me through two university degrees while living in four different cities in Canada and the United States. These competent and loving guides have shown me amazing skills, keeping me safe from traffic, fallen trees, new places, and a host of unseen dangers. I have acquired self-confidence and a faith that anything is possible with my dog by my side. Over the years, my dogs have always been a source of pride and pleasure for me, and I brag about them to my family and friends.
Today, the way young Rambo manoeuvres me through the rush-hour traffic is wonderful. But it is all those little things, like finding a table at a restaurant finding empty cubicles at the physical therapy clinic where I work, that can mean so much more. Rambo is my sixth guide, who arrived in June 2008 after Ruskin left me. He has already established himself in my heart. He is guiding me through another chapter in my life. I wish to thank all my friends at 'The Seeing Eye' for the support they have offered me over the years. I also thank them for being like family and, most importantly, for being there to train these furry soul-mates so well!
Question:
What does ‘canine partner’ refer to?
Option 1: A person who trains dogs
Option 2: A person who is a walking partner
Option 3: A partner at the workplace
Option 4: A trained Seeing Eye dog
Correct Answer: A trained Seeing Eye dog
Solution : The correct choice is the fourth option.
Explanation: The term "canine partner" refers to a dog that has been trained to assist and guide a person with visual impairments, commonly known as a Seeing Eye dog. In the context of the
Question :
Directions: In the following question, select the related number from the given alternatives. 7 : 24 :: ? : ?
Option 1: 30 : 100
Option 2: 23 : 72
Option 3: 19 : 58
Option 4: 11 : 43
Correct Answer: 23 : 72
Solution : Given: 7 : 24 :: ? : ?
Like, 7: 24→(7 × 3) + 3= 21 + 3 = 24 Let's check the options – First option: 30 : 100; (30 × 3) + 3 = 90 + 3 = 93 ≠ 100
Question : certain substances loose their electrical resistance completely at super low temperature. such substance are called
Option 1: super conductors
Option 2: semi conductors
Option 3: dilectrics
Option 4: perfect conductors
Correct Answer: super conductors
Solution : The correct option is superconductors.
Superconductors are substances that fully loose their electrical resistance at very low temperatures. When Heike Kamerlingh Onnes saw that the electrical resistance of mercury dropped to zero at temperatures close to absolute zero (around 273.15 degrees Celsius), he made
Question : In India, National Voters' Day is celebrated on______.
Option 1: 26 March
Option 2: 24 February
Option 3: 27 December
Option 4: 25 January
Correct Answer: 25 January
Solution : The correct answer is 25 January.
National Voters' Day is celebrated in India on January 25 every year. This day is dedicated to promoting awareness about the importance of voting and encouraging eligible citizens to participate in the electoral process. The day aims
Question : Directions: Select the option figure in which the given figure is embedded. (rotation is NOT allowed)
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, the given question figure is embedded only in the third option figure.
Hence, the third option is correct.
Question : Select the most appropriate ANTONYM of the given word. WARM
Option 1: cool
Option 2: springy
Option 3: spongy
Option 4: hot
Correct Answer: cool
Solution : The correct choice is the first option.
Explanation: "Warm" typically refers to a moderate or higher temperature. Its opposite, "cool," refers to a lower temperature. While "hot" also signifies a high temperature, in the context of opposites, "cool" is the direct antonym that signifies a
Question : Directions: Identify the number that does NOT belong to the following series. 104, 108, 54, 58, 29, 31
Option 1: 58
Option 2: 29
Option 3: 54
Option 4: 31
Correct Answer: 31
Solution : Given: 104, 108, 54, 58, 29, 31
Add 4 and divide the number by 2 alternatively in each number, to determine the wrong number in the series – 104 + 4 = 108; 108 ÷ 2 = 54; 54 + 4 = 58; 58 ÷
Question : Direction: In the following question, select the one which is different from the other three alternatives.
Option 1: 222
Option 2: 10
Option 3: 68
Option 4: 125
Correct Answer: 125
Solution : Let's check the options —
First option: 222; 222 ÷ 2 = 111. 222 is an even number.
Second option: 10; 10 ÷ 2 = 5. 10 is an even number.
Third option: 68; 68 ÷ 2 = 34. 68 is an even number.
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