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Question : Find the value of $\sin^2 25^\circ+\sin^2 65^\circ$:
Option 1: $-1$
Option 2: $\frac{1}{2}$
Option 3: $0$
Option 4: $1$
Correct Answer: $1$
Solution : Given: $\sin^2 25^\circ+\sin^2 65^\circ$ $= \sin^2 25^\circ+\sin^2 (90^\circ – 65^\circ)$ $= \sin^2 25^\circ+\cos^2 25^\circ=1$ Hence, the correct answer is $1$.
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 30, 62, 189, 760, (?)
Option 1: 3306
Option 2: 1157
Option 3: 2185
Option 4: 3805
Correct Answer: 3805
Solution : Given: 30, 62, 189, 760, (?)
Multiply and add consecutive numbers to the previous number to get the next number – 30 × 2 + 2 = 60 + 2 = 62 62 × 3 + 3 = 186 + 3 = 189 189 ×
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
When at last (1) / we got to the theatre, (2) / the much-publicised programme by the Bollywood stars was begun. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
The phrase "was begun" should be replaced with had begun to maintain the tense consistency. It indicates that the programme had already started before the narrator arrived at the theatre, so the past perfect tense
Question : If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, the compound interest on the same at the same rate and for the same time is:
Option 1: Rs. 50.50
Option 2: Rs. 51.25
Option 3: Rs. 51.50
Option 4: Rs. 51.05
Correct Answer: Rs. 51.25
Solution : Let the amount be Rs. $x$ Simple Interest on Rs. $x$ for 2 years and 5% interest = Rs. 50 Simple Interest on Rs. $x$ for t years and r% interest = $\frac{{x\times r}\times t}{100}$ So, $50 = \frac{{x\times 5}\times 2}{100}$ ⇒ $x =
Question : Which is NOT correct about the High Court?
Option 1: It can deal with cases within the jurisdiction of the state.
Option 2: It can hear appeals from the lower courts.
Option 3: It can issue various writs for the protection of Fundamental Rights.
Option 4: It gives an advisory opinion to the President of India.
Correct Answer: It gives an advisory opinion to the President of India.
Solution : The correct option is It give an advisory opinion to the President of India.
The High Courts are independent judicial bodies within their respective states and do not have the power to offer advisory opinions to
Question : Directions: In the following question, select the one which is different from the other three alternatives.
Option 1: 725
Option 2: 840
Option 3: 632
Option 4: 475
Correct Answer: 632
Solution : Let's check the options – First option: 725; 725 is divisible by 5. Second option: 840; 840 is divisible by 5. Third option: 632; 632 is not divisible by 5. Fourth option: 475; 475 is divisible by 5.
So, the third option is different from
Question : In which among the following languages is "Childhood Days - A Memoir" by Satyajit Ray written?
Option 1: Hindi
Option 2: Telugu
Option 3: Kannada
Option 4: Bengali
Correct Answer: Bengali
Solution : The correct answer is Bengali.
Satyajit Ray initially penned his memoir "Childhood Days" in Bengali, later translated into English by his wife Bijoya Ray. Within its pages, Ray delves into his fervour for cinema, art, music, photography and literature, establishing himself as one of the
Question : " Ranji Trophy " is associated with
Option 1: Hockey
Option 2: Football
Option 3: Cricket
Option 4: Kabaddi
Correct Answer: Cricket
Solution : The correct answer is Cricket
The Ranji Trophy founded by the Board of Control for Cricket in India (BCCI), was named after one of India’s first test cricketer.
Ranjitsinhji, who played for England and Sussex.Ranjitsinhji known as ‘Father of Indian cricket’, never actually played for
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given series, the arrow on the top row is moving along the boxes from left to right. the circle on the bottom row is also moving along the boxes from right to left. The shaded part of the square at the centre is changing
Question : What would be the formula of Fructose?
Option 1: C12H22O11
Option 2: C6H12O6
Option 3: C12H19Cl3O8
Option 4: C6H10O8
Correct Answer: C6H12O6
Solution : The correct option is C6H12O6.
Fructose is a monosaccharide, which indicates that it contains only one sugar molecule. It has the same chemical formula as glucose (C6H12O6),
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