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Question : Algae belong to which of the following levels of ecosystems?
Option 1: Decomposers
Option 2: Destructors
Option 3: Producers
Option 4: Consumers
Correct Answer: Producers
Solution : The correct option is Producers.
Algae are primary producers in an aquatic environment because they are autotrophic. Algae are autotrophic creatures that generate their food via photosynthesis. In aquatic habitats, algae are at the bottom of the food chain. They capture solar energy and turn
Question : If $x=\frac{1}{2+\sqrt{3}}$ and $y=\frac{1}{2-\sqrt{3}},$ then the value of $8xy(x^{2}+y^{2})$ is:
Option 1: 196
Option 2: 290
Option 3: 112
Option 4: 194
Correct Answer: 112
Solution : To solve this problem, we first need to calculate the values of $x$ and $y$. $x=\frac{1}{2+\sqrt{3}}×\frac{2-\sqrt{3}}{2-\sqrt{3}}=\frac{2-\sqrt{3}}{1}$ $y=\frac{1}{2-\sqrt{3}}×\frac{2+\sqrt{3}}{2+\sqrt{3}}=\frac{2+\sqrt{3}}{1}$ Now, $x+y =4$............(I) Also, $xy=(2-\sqrt{3})\times (2+\sqrt{3}) =1$.............(II) Squaring both sides of equation (I) ⇒ $x^2+y^2+2xy=16$ ⇒ $x^2+y^2+2\times1=16$ ⇒ $x^2+y^2=14$ Putting the value of $x^2+y^2$ and $xy$ in $8xy(x^{2}+y^{2})$,
Question : Which law was proposed in 1811, predicted that the same volume of gases at the same temperature and pressure would have the same number of molecules?
Option 1: Dalton’s law
Option 2: Gay-Lussac’s law
Option 3: Avogadro’s law
Option 4: Charles' law
Correct Answer: Avogadro’s law
Solution : The correct answer is Avogadro's law.
Avogadro's law, named after the Italian scientist Amedeo Carlo Avogadro, states that equal volumes of gases at the same temperature and pressure contain the same number of molecules.
This law implies that the molar volume of any
Question : Directions: Which number will replace the question mark (?) in the following series? 16, 32, ?, 192, 576, 1152
Option 1: 48
Option 2: 80
Option 3: 64
Option 4: 96
Correct Answer: 96
Solution : Given: 16, 32, ?, 192, 576, 1152
Multiply the previous term by 2 and 3 alternately to get the next term. 16 × 2 = 32; 32 × 3 = 96; 96 × 2 = 192; 192 × 3 = 576; 576 × 2 =
Question : The average age of 6 members of a family is 25 years. If the youngest member is 4 years old, then what was the average age of the family just before the birth of the youngest member?
Option 1: 27.2 years
Option 2: 24.8 years
Option 3: 32.8 years
Option 4: 25.2 years
Correct Answer: 25.2 years
Solution : Given: The average age of 6 members of a family is 25 years. The total age of 6 members of a family = 6 × 25 = 150 Age of youngest member = 4 years Total ages of people before the birth of youngest
Question : Comprehension:
Read the given passage and answer the questions that follow.
I was a chef in the Taj banquet kitchen when the gunshots started that night. Initially, the news was that it was an internal gang war in a neighbourhood nearby and that it would die down soon. It was only at about 10.30 or 11 p.m. that we understood the magnitude of what was going on. We were seven chefs in the kitchen that night, not one of whom left the Taj despite knowing all exit points. By then, the shootout had happened at the Wasabi restaurant, and all those who had survived were pouring into the banquet hall and kitchen where we were working. As soon as we heard about the shootout, we prepared sandwiches for our surviving guests, which we then handed out. After this, we entered the corridor to escort our guests out of the hotel through the back entrance. We had successfully helped a few guests when I saw the left profile of a terrorist in a red cap who began shooting. I was standing next to a refrigerator when my head chef and his assistant chef both got shot. There was chaos, panic, and fear as our guests started running everywhere, but by then they had opened fire in all directions. All of a sudden, everything went quiet, and that silence was the worst. I tried looking around for survivors, but it was just me. I stayed there for a few hours until I realised that no help would be coming anytime soon. I looked at the refrigerator where I'd been only a while ago, and it had 3 bullet holes in it. I'd narrowly escaped death, but it was horrifying to see that my guests and colleagues hadn't been as lucky. I won't look back on that day as just a terrorist attack, but as a day when many brave individuals looked death in the eye to help others.
Question:-
Which of the following did the hotel staff do? a) Served snacks to the guests b) Escorted guests out of the hotel c) Escorted guests to their rooms d) Looked around for survivors e) Ran here and there in fear and panic f) Ran out of the hotel to save themselves
Option 1: a, c and e
Option 2: c, e and f
Option 3: b, d and f
Option 4: a, b and d
Correct Answer: a, b and d
Solution : The fourth option is the correct answer.
Explanation: The passage mentions that the hotel staff, upon hearing about the shootout, prepared sandwiches for the surviving guests (served snacks), escorted the guests out of the hotel through the back entrance, and the narrator,
Question : The book titled "The Immortals of Meluha" is written by ______.
Option 1: Sushil Kumar
Option 2: Devdutt Pattanaik
Option 3: Amish Tripathi
Option 4: Chetan Bhagat
Correct Answer: Amish Tripathi
Solution : The correct answer is Amish Tripathi.
"The Immortals of Meluha" is written by Amish Tripathi. This book is the first book of the Shiva Trilogy. The story starts with the Arrival of Shiva, which is set in the land of Meluha. The theme
Question : An inverted conical–shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and the radius of the open end is 5 cm. When a few solid spherical metallic balls each of radius $\frac{1}{2}$ cm are dropped in the vessel, 25% water is overflowed. The number of balls is:
Option 1: 100
Option 2: 400
Option 3: 200
Option 4: 150
Correct Answer: 100
Solution : Given: Height of the vessel = 8 cm Radius = 5 cm. Volume of the conical vessel = $\frac{1}{3}\pi r^2 h$ = $\frac{1}{3}\times \pi\times 5^2\times 8$ = $\frac{200}{3}\pi$ cm$^3$ The volume of 25% of water = $\frac{1}{4}\times\frac{200}{3}\pi=\frac{50}{3}\pi$ cm$^3$ The volume of the spherical metallic ball
Question : Who among the following was among the founders of the Jugantor Party?
Option 1: Rash Behari Bose
Option 2: Surendranath Banerjee
Option 3: Bipin Chandra Pal
Option 4: Aurobindo Ghosh
Correct Answer: Aurobindo Ghosh
Solution : The correct answer is Aurobindo Ghosh.
Jugantor Party was a leading revolutionary organization in colonial Bengal. The party was established in April 1906 by leaders like Aurobindo Ghosh, his brother Barin Ghosh, Hemchandra Kanungo and Upen Banerjee. Along with 21 revolutionaries, they started
Question : Directions: Five girls A, B, C, Z, and U are sitting in a row, facing toward the south (but not necessarily in the same order). No one is sitting to the right of A. Three girls are sitting to the left of U. B is second to the left of C. Who is sitting second to the left of U?
Option 1: U
Option 2: Z
Option 3: A
Option 4: B
Correct Answer: Z
Solution : Given: (I) Five girls A, B, C, Z, and U are sitting in a row, facing towards the south. South facing row; Right end; _, _, _, _, _;Left end (II) No one is sitting to the right of A. Three girls are sitting to
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