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Question : A person borrowed Rs. 8000 on compound interest at the rate of 20% per annum. If the interest is compounded half-yearly, then what will be the amount to be paid after 1.5 years?
Option 1: Rs. 10,648
Option 2: Rs. 11,488
Option 3: Rs. 10,825
Option 4: Rs. 9,865
Correct Answer: Rs. 10,648
Solution : Here, Principal = Rs. 8,000 Rate = 20%, but it compounded half-yearly. so, rate = $\frac{20}{2}$ = 10% since interest is compounded half-yearly, time = 1.5 × 2 = 3 $\text{Total Amount}=\text{Principal}×(1+\frac{\text{Rate}}{100})^{\text{Time}}$ $⇒\text{Total Amount} = 8000 \left(1 + \frac{10}{100}\right)^{3} $ $⇒\text{Total Amount}=8000(\frac{11}{10})^3$ $⇒\text{Total Amount}=8000(\frac{1331}{1000})$
Question : Kepler's law of planetary motion states that the square of the period is proportional to the
Option 1: semi-major axis
Option 2: square of the semi-major axis
Option 3: cube of the semi-major axis
Option 4: fourth power of the semi-major axis
Correct Answer: cube of the semi-major axis
Solution : The correct option is a cube of the semi-major axis.
According to Kepler's Law of Periods, a planet's orbital period square is precisely proportionate to its semi-major axis cube. One of Johannes Kepler's three laws of planetary motion was determined
Question : Find the value of $\tan 27^{\circ} \tan 34^{\circ}+\tan 34^{\circ} \tan 29^{\circ}+\tan 29^{\circ} \tan 27^{\circ}$.
Option 1: $0$
Option 2: $–1$
Option 3: $\sqrt3$
Option 4: $1$
Correct Answer: $1$
Solution : If $A + B + C = 90°$, then $\tan A\tan B + \tan B\tan C + \tan C\tan A = 1$ Now, 27 + 34 + 29 = 90° So, $\tan 27^{\circ} \tan 34^{\circ} + \tan 34^{\circ} \tan 29^{\circ} + \tan 29^{\circ} \tan 27^{\circ}=1$
Question : Which of the following cells line the spongocoel and canals in members of the phylum Porifera?
Option 1: Somatic cells
Option 2: Collar cells
Option 3: White cells
Option 4: Sex cells
Correct Answer: Collar cells
Solution : The correct answer is Collar cells.
Choanocytes, also called collar cells, are special cells that cover the inside of the central cavity (spongocoel) and canals in sponges. These cells have tiny, hair-like structures called flagella. The flagella move in a coordinated way to
Question : Directions: Select the figure from the options that can replace the question mark (?) and complete the given pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, follow the directions to find the next term –
Hence, the first option is correct.
Question : Select the option that expresses the given sentence in passive voice.
He does not buy shirts.
Option 1: Shirts are not bought by him.
Option 2: Shirts are not brought by him.
Option 3: Shirts were not been bought by him.
Option 4: Shirts were not bought by him.
Correct Answer: Shirts are not bought by him.
Solution : The correct choice is the first option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes the subject in the passive
Question : The cube of 997 is:
Option 1: 991026973
Option 2: 991029673
Option 3: 998746523
Option 4: 99102456
Correct Answer: 991026973
Solution : Here, (997)3 = (1000 – 3)3 = 10003 – 33 – 3 × 1000 × 3 × (1000 – 3) [Using the formula (a – b)3 = a3 – b3 – 3ab(a – b)] = 1000000000 – 27
Question : Who among the following received the best actor in a leading role (male) popular choice in the Filmfare Awards 2022?
Option 1: Vicky Kaushal
Option 2: Sidharth Malhotra
Option 3: Dhanush
Option 4: Ranveer Singh
Correct Answer: Ranveer Singh
Solution : The correct option is Ranveer Singh.
Ranveer Singh received the Best Actor award. This film fare award is held at Jio Trade Centre, Mumbai. It is the 67th edition of the awards. Other winners-
Question : What is the Net National Product?
Option 1: The product of gross national product and depreciation is net national product.
Option 2: The sum of gross national product and income of foreigners is net national product.
Option 3: Net National product is equal to gross national product.
Option 4: The difference between gross national product and depreciation is net national product.
Correct Answer: The difference between gross national product and depreciation is net national product.
Solution : The correct answer is The difference between gross national product and depreciation is net national product.
The term "net national product" refers to gross national product, which is the total market value, less
Question : Select the false statement from the given options.
Option 1: Baikal rocks are formed from the dissolved materials that precipitate from the solution
Option 2: The sedimentary rocks are formed by the deposition and subsequent cementation of that material within bodies of water and at the surface of the earth
Option 3: Metamorphic rocks may be formed simply by being deep beneath the Earth’s surface, subjected to high temperatures and the great pressure of the rock layers above it
Option 4: Igneous rock is formed through the cooling and solidification of magma or lava
Correct Answer: Baikal rocks are formed from the dissolved materials that precipitate from the solution
Solution : The correct option is Baikal rocks are formed from the dissolved materials that precipitate from the solution.
The rocks around Lake Baikal in Siberia, Russia, are primarily of igneous origin. Lake Baikal
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