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Question : If $a + 5b = 13$ and $ab = 9$, then find the value of $a^2 + 25b^2$.
Option 1: 69
Option 2: 79
Option 3: 49
Option 4: 59
Correct Answer: 79
Solution : Given: $ab = 9$ $a + 5b = 13$ $⇒(a + 5b)^2 = 13^2$ $⇒a^2 + 25b^2 + 10ab = 169$ $⇒a^2 + 25b^2 +10×9 = 169$ $⇒a^2 + 25b^2 = 169-90=79$ Hence, the correct answer is 79.
Question : Directions: Looking at a photograph, Reema says, "This boy's father is the father of my daughter". How is the boy related to Reema's daughter?
Option 1: Father
Option 2: Son
Option 3: Brother
Option 4: Father's brother
Correct Answer: Brother
Solution : According to the given information, the family tree is as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, Boy is the brother of Reema's daughter. Hence, the third option
Question : Who among the following is famous for playing the musical instrument 'Sarod'?
Option 1: Amjad Ali Khan
Option 2: Bismillah Khan
Option 3: Zakir Hussain
Option 4: Ravi Shankar
Correct Answer: Amjad Ali Khan
Solution : The correct answer is Amjad Ali Khan.
Indian Sarod player Ustad Amjad Ali Khan is a distinguished figure. He was dubbed the "Sarod Samrat; for his outstanding accomplishments in capturing the Sarod sites. Amjad was born into a family of Sarod players
Question : Study the following bar graph and answer the questions given below. Difference between the number of boys and girls in schools A, B, C, D, and E. Total number of boys and girls in schools A, B, C, D, and E. Note: The number of boys > the number of girls What is the ratio of the number of boys to the number of girls in school E?
Option 1: 5 : 3
Option 2: 7 : 4
Option 3: 4 : 3
Option 4: 5 : 4
Correct Answer: 5 : 3
Solution :
As per the graph, The number of boys in a school = $\frac{1}{2}$(Total number of students in the school + Difference between the number of boys and girls in school E) The number of boys in a school = $\frac{1}{2}$(2800 + 700) =
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
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