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Question : Select the word that is similar in meaning (SYNONYM) to the word given below.
Craven
Option 1: Bold
Option 2: Unabashed
Option 3: Cowardly
Option 4: Gallant
Correct Answer: Cowardly
Solution : The correct choice is the third option.
Craven refers to someone who is lacking in courage, timid, or cowardly, which aligns with the meaning of cowardly.
The meanings of the other options are as follows:
Question : The length of the diagonal of a square is $9\sqrt{2}$ cm. The square is reshaped to form an equilateral triangle. What is the area (in cm2) of the largest incircle that can be formed in that triangle?
Option 1: $6\pi$
Option 2: $9\pi$
Option 3: $12\pi$
Option 4: $15\pi$
Correct Answer: $12\pi$
Solution : Diagonal of square = $9\sqrt2$ Diagonal = side$\sqrt2$ $9\sqrt2=side\sqrt2$ Side = 9 cm Perimeter of the square = 9 × 4 = 36 $\therefore$ Perimeter of the triangle = 36 Side = $\frac{36}{3}=12$ We know that Radius of the incircle = $\frac{\text{Side of the triangle}}{2\sqrt3}$
Question : If $\operatorname{cosec}\theta+\sin\theta=\frac{5}{2}$, then the value of $(\operatorname{cosec}\theta-\sin\theta)$ is:
Option 1: $-\frac{3}{2}$
Option 2: $\frac{3}{2}$
Option 3: $-\frac{\sqrt{3}}{2}$
Option 4: $\frac{\sqrt{3}}{2}$
Correct Answer: $\frac{3}{2}$
Solution : Given: $\operatorname{cosec}\theta+\sin\theta=\frac{5}{2}$ ⇒ $\frac{1}{\sin\theta}+\sin\theta=\frac{5}{2}$ ⇒ $\frac{1+\sin^{2}\theta}{\sin\theta}=\frac{5}{2}$ ⇒ $2\sin^{2}\theta-5\sin\theta+2=0$ ⇒ $2\sin^{2}\theta-4\sin\theta-1\sin\theta+2=0$ ⇒ $2\sin\theta (\sin\theta-2)-1(\sin\theta-2)=0$ ⇒ $(\sin\theta-2)(2\sin\theta-1)=0$ ⇒ $\sin\theta= 2,\frac{1}{2}$ $\sin\theta$'s value can't be 2. So, $\sin\theta=\frac{1}{2}=\sin30^{\circ}$ ⇒ $\theta=30^{\circ}$ $\operatorname{cosec}\theta-\sin\theta$ $=\operatorname{cosec}30^{\circ}-\sin30^{\circ}$ $= 2-\frac{1}{2}$ $=\frac{3}{2}$ Hence, the correct answer is $\frac{3}{2}$.
Question : The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. P. Despite that my guide Raj Lama sent me hiking up yet another trail to try to get a better view. Q. I was not impressed, and I let him know. R. I was on the Chele La mountain pass in west Bhutan. S. The weather was ominous, and it was raining too.
Option 1: QPRS
Option 2: SRPQ
Option 3: SQPR
Option 4: RSPQ
Correct Answer: RSPQ
Solution : The correct choice is the fourth option.
Explanation: In this paragraph, the narrator sets the scene on the Chele La mountain pass in west Bhutan, noting the ominous weather with rain. Despite the adverse conditions, the guide, Raj Lama, decides to take the narrator
Question : If $ a^{2}+a+1=0$, then the value of $a^{5}+a^{4}+1$ is:
Option 1: $a^2$
Option 2: $1$
Option 3: $0$
Option 4: $a+1$
Correct Answer: $0$
Solution : Given: $a^2 + a +1 = 0$ ⇒ $a^2 + a = -1$ The given expression = $a^5 + a^4+1$ $=a^3(a^2 + a) + 1$ $=a^3(-1) + 1 = 1^3 - a^3$ Using identity $x^3-y^3=(x-y)(x^2+y^2+xy)$, we get $=(1-a)(1^2+1(a)+a^2)$ $=(1-a)(1+a+a^2)$ $= 0$ Hence, the correct answer
Question : Rohan borrows a certain sum at simple interest. The rate of interest is 3 percent per annum for the first 3 years, 4 percent per annum for the next 5 years, and 6 percent per annum for the next 7 years. If he paid Rs. 2485 as interest, then what is the sum borrowed?
Option 1: Rs. 2500
Option 2: Rs. 3500
Option 3: Rs. 4000
Option 4: Rs. 3600
Correct Answer: Rs. 3500
Solution : Use the formula below. Simple interest = $\frac{\text{Principle×Rate×Time}}{100}$ Let's denote the principal amount (the sum borrowed) as P Simple interest for the first 3 years at 3 percent per annum = $\frac{3}{100}$ × P × 3 Simple interest for the next 5 years at
Question : When was the Treaty of Purandar signed between Jai Singh I, commander of the Mughal Empire and Shivaji?
Option 1: 1639
Option 2: 1702
Option 3: 1665
Option 4: 1681
Correct Answer: 1665
Solution : The correct option is 1665.
The Treaty of Purandar was signed on June 11, 1665, between Jai Singh I, the commander of the Mughal Empire and the Maratha warrior king Shivaji. This treaty marked a temporary truce between the Mughals and the Marathas, but
Question : Saswati Sen is the proud recipient of the Sangeet Natak Akademi Award for 2004-2005. She is recognized for which dance form?
Option 1: Kathak
Option 2: Kuchipudi
Option 3: Manipuri
Option 4: Mohiniyattam
Correct Answer: Kathak
Solution : The correct answer is Kathak.
Saswati Sen, born in 1953 in West Bengal, is an accomplished Kathak dancer. She received her initial training from Shrimati Reba Vidyarthi at Kathak Kendra, Delhi, and later specialised in the art under Pandit Birju Maharaj. She was honoured
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. TABC, QCYE, NEVG, KGSI, ?
Option 1: HJPL
Option 2: GIPK
Option 3: HIQK
Option 4: HIPK
Correct Answer: HIPK
Solution : Given: TABC, QCYE, NEVG, KGSI, ?
Here, the pattern followed is as follows –
So, HIPK is the missing term of the given series. Hence, the fourth option is correct.
Question : Select the option that expresses the given sentence in passive voice.
Mary was cooking the meal.
Option 1: The meal were being cooked by Mary.
Option 2: The meal was already being cooked by Mary.
Option 3: Mary was about to cook the meal.
Option 4: The meal was being cooked by Mary.
Correct Answer: The meal was being cooked by Mary.
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 sentence becomes the subject in
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