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Question : PT is a tangent at the point R on a circle with centre O. SQ is a diameter, which when produced meets the tangent PT at P. If $\angle$SPT = 32$^\circ$, then what will be the measure of $\angle$QRP?
Option 1: $58^\circ$
Option 2: $30^\circ$
Option 3: $29^\circ$
Option 4: $32^\circ$
Correct Answer: $29^\circ$
Solution : Given, $\angle SPT = 32^\circ$ $OR$ is perpendicular to $PT$, so $\angle ORP = 90^\circ$ Let $\angle QRP = \theta$ As we know, the sum of two interior opposite angles of a triangle is equal to its exterior angle. So, $\angle OQR = 32^\circ +
Question : Who among the following Indian Music composers won a Grammy award in 2023?
Option 1: M. M. Keeravani
Option 2: Ricky Kej
Option 3: Aby Tom Cyriac
Option 4: A. R. Rahman
Correct Answer: Ricky Kej
Solution : The correct option is Ricky Kej.
He won his 3rd Grammy award for the album "Divine Tides," the US-born musician shared the award with Stewart Copeland, the drummer of the iconic British Rock band the Police, who collaborated with Ricky Kej on the
Question : Directions: Arrange the following words as per their order in the dictionary and choose the one that comes first. 1. Temple 2. Tenant 3. Terminate 4. Temperature
Option 1: Temple
Option 2: Tenant
Option 3: Terminate
Option 4: Temperature
Correct Answer: Temperature
Solution : Given: 1. Temple 2. Tenant 3. Terminate 4. Temperature
Step 1: Since all the words start with the same letter T, so move on to the next letter. Step 2: The second letter of each word is the same, i.e., e. So, move
Question : The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. The rate of interest per annum is:
Option 1: 6%
Option 2: 7%
Option 3: 8%
Option 4: 9%
Correct Answer: 8%
Solution : $D=P\left (\frac{r}{100}\right)^{2}$, where D is the difference between simple interest and compound interest for 2 years on Principal $P$ with the rate of interest $r$ per annum compounded annually. ⇒ $96 = 15000\left ( \frac{r}{100}\right )^{2}$ ⇒ $r^2=\frac{960000}{15000}=64$ ⇒ $r$ = 8% Hence, the correct
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: Some pens are boxes. No box is a fan. Some pens are fans. Conclusions: I. No pen is a fan. II. No box is a pen. III. Some fans are pens. IV. Some boxes are pens.
Option 1: Only conclusions I and III follow
Option 2: Only conclusions II and IV follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions III and IV follow
Correct Answer: Only conclusions III and IV follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: No pen is a fan – From the Venn diagram, it is clear that the circles that represent pens and
Question : Directions: Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term. OUT2 : WWP4 :: AXE5 : HZB25 :: ART7 : ?
Option 1: WTB49
Option 2: WTB35
Option 3: VTB49
Option 4: WTB14
Correct Answer: WTB49
Solution : Given: OUT2 : WWP4 :: AXE5 : HZB25 :: ART7 : ?
Add consecutive numbers starting from 1 to the place values of the letters and the resultant should be reversed after the number is squared to obtain the required code. OUT2→O + 1; U
Question : Sangam poems mention the Tamil word "Muvendar," which means _________.
Option 1: three taxes
Option 2: three ports
Option 3: three chiefs
Option 4: three horses
Correct Answer: three chiefs
Solution : The correct option is three chiefs.
The term Muvendar signifies "three chiefs" in Tamil, referring to the leaders of three prominent dynasties: the Cholas, Cheras, and Pandyas. Emerging around 2300 years ago, they wielded significant influence and shaped the political landscape of ancient
Question : Which of the following is used as anesthetics?
Option 1: N2
Option 2: N2O
Option 3: CH4
Option 4: CO2
Correct Answer: N2O
Solution : The correct option is N2O.
Nitrous oxide (N2O), popularly known as "laughing gas," is used in some medical and dental procedures as a light anaesthetic. It is given to patients having minor operations or procedures to produce conscious sedation and reduce pain and
Question : According to the fundamental duties given in the Indian Constitution, it shall be the duty of every citizen of India to uphold and protect the sovereignty, _____ of India.
Option 1: liberty and equality
Option 2: unity and integrity
Option 3: equality and fraternity
Option 4: spirituality and unity
Correct Answer: unity and integrity
Solution : The correct option is unity and integrity.
As per the Indian Constitution's fundamental duties, it is the responsibility of every Indian citizen to maintain and safeguard the country's sovereignty, unity, and integrity. The entire phrase is frequently translated as "to abide by the
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
(All the family members of his) are in Emakulam.
(1) All the members of his family
(2) All his family members
(3) All of his family members
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option.
The sentence uses the determiner "all" to refer to all the members of the speaker's family. The article "the" is used to refer to a specific group of people or things. The phrase "members of his
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