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Question : Directions: Pointing to Rajesh in the photograph, Sunita said, "The only son of his mother is my father". How is she (Sunita) related to Rajesh?
Option 1: Niece
Option 2: Aunt
Option 3: Mother
Option 4: Daughter
Correct Answer: Daughter
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, from the above family tree, Sunita is the daughter of Rajesh. Hence, the fourth option
Question : Select the most appropriate synonym to substitute the bracketed word in the given sentence.
It broke Eleanora's heart to see her daughter become that (wraith) of her former self.
Option 1: Spirit
Option 2: Wail
Option 3: Being
Option 4: Yore
Correct Answer: Spirit
Solution : The correct answer will be the first option.
Wraith refers to a ghostly or insubstantial form, and spirit is a suitable synonym in this context. Both words convey the idea of a diminished or fading presence, aligning with the sense of the daughter becoming a
Question : The value of $\left(\tan ^2 A+\cot ^2 A-2\right)-\sec ^2 A \operatorname{cosec}^2 A$ is:
Option 1: –4
Option 2: –1
Option 3: 1
Option 4: 4
Correct Answer: –4
Solution : $\left(\tan ^2 A+\cot ^2 A-2\right)-\sec ^2 A \operatorname{cosec}^2 A$ $=\left[(1+\tan ^2 A)+(1+\cot ^2 A)-4\right]-\sec ^2 A \operatorname{cosec}^2 A$ $=(\sec ^2 A+ \operatorname{cosec}^2 A-4)-\sec ^2 A \operatorname{cosec}^2 A$ $=(\frac{1}{\cos ^2 A}+\frac{1}{\sin ^2 A})-4-\sec ^2 A \operatorname{cosec}^2 A$ $=(\frac{\sin ^2 A+\cos ^2 A}{\sin ^2 A\cos ^2 A})-4-\sec
Question : Select the most appropriate option to fill in the blank.
I like eating chocolates, ______ I hate dark ones.
Option 1: for
Option 2: but
Option 3: because
Option 4: while
Correct Answer: but
Solution : The correct choice is the second option.
But is a coordinating conjunction that helps introduce an exception to the preceding clause. This helps convey the intended meaning that the speaker likes eating chocolates, except the dark ones.
Therefore, the correct sentence is: "I like
Question : The altitude drawn to the base of an isosceles triangle is 8 cm and its perimeter is 64 cm. The area (in cm2) of the triangle is:
Option 1: 240
Option 2: 180
Option 3: 360
Option 4: 120
Correct Answer: 120
Solution : Let the base of the isosceles triangle as $b\operatorname{ cm }$ and each of the equal sides as $a\operatorname{ cm }$. The altitude drawn to the base = $8\operatorname{ cm }$ The perimeter of the isosceles triangle = $64\operatorname{ cm }$ In an isosceles triangle,
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 - operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (5, 32, 7) (4, 30, 14)
Option 1: (7, 60, 11)
Option 2: (6, 65, 13)
Option 3: (7, 50, 21)
Option 4: (8, 60, 9)
Correct Answer: (7, 60, 11)
Solution : Given: (5, 32, 7); (4, 30, 14)
In the given sets, add the third number to the square of the first number to obtain the second number – (5, 32, 7)→52 + 7 = 25 + 7 = 32 (4, 30, 14)→4
Question : X alone can complete a piece of work in 16 days, while Y alone can complete the same work in 24 days. They work on alternate days starting with Y. In how many days will 50% of the total work be completed?
Option 1: $\frac{24}{3}$ days
Option 2: $\frac{29}{3}$ days
Option 3: $\frac{32}{3}$ days
Option 4: 9 days
Correct Answer: $\frac{29}{3}$ days
Solution : Time taken by X to complete the work = 16 days Part of work done by X in a day = $\frac{1}{16}$ Time taken by X to complete the work = 24 days Part of work done by X in a day = $\frac{1}{24}$
Question : Directions: In the following question, a series is given with one term missing. Choose the correct alternative from the given ones that will complete the series. AD, EI, JN, PS, ?
Option 1: WY
Option 2: XX
Option 3: WX
Option 4: WW
Correct Answer: WX
Solution : Given: AD, EI, JN, PS, ?
Add consecutive numbers to the place values of the first letters and 5 to the place values of the second letters of the previous term to obtain the next term of the series – AD→A + 4 = E;
Question : Kalamandalam Kalyanikutty Amma is known for which classical dance form?
Option 1: Manipuri
Option 2: Kuchipudi
Option 3: Odissi
Option 4: Mohiniyattam
Correct Answer: Mohiniyattam
Solution : The correct answer is Mohiniyattam.
The southern Indian state of Kerala produced the legendary Mohiniyattam dancer, Kalamandalam Kalyanikutty Amma. A classical Indian dance called Mohiniyattam can be defined as such since its repertory can be traced back to the Natya Shastra.
Question : If $\frac{a}{b}+\frac{b}{a}=1$, the value of $a^{3}+b^{3}$ is equal to:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 0
Solution : Given: $\frac{a}{b}+\frac{b}{a}=1$ ⇒ $\frac{a^2 +b^2}{ab}=1$ ⇒ ${(a^2 +b^2)}={ab}$.............................(equation 1) Now, $a^{3}+b^{3}={(a+b)(a^2+b^2–ab)}$ Putting the value of ${a^2+b^2}$ from equation 1, we get ${(a+b)(a^2+b^2–ab)}$ = ${(a+b)(ab–ab)}$ = ${(a+b)×0}$ = $0$ Thus, $a^{3}+b^{3}=0$ Hence, the correct answer is 0.
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