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Question : What is the value of $\sec^2 54^{\circ}-\cot 2 36^{\circ}+\frac{3}{2} \sin^2 37^{\circ} \times \sec^2 53^{\circ}+\frac{2}{\sqrt{3}} \tan 60^{\circ}$?
Option 1: $\frac{5}{2}$
Option 2: $\frac{9}{2}$
Option 3: $\frac{3}{2}$
Option 4: $\frac{7}{2}$
Correct Answer: $\frac{9}{2}$
Solution : Given: $\sec^2 54^{\circ}-\cot ^2 36^{\circ}+\frac{3}{2}\sin^2 37^{\circ}\times \sec^2 53^{\circ}+\frac{2}{\sqrt{3}}\tan60^{\circ}$ $=\sec^2 (90^{\circ}-36^{\circ})-\cot^2 36^{\circ}+\frac{3}{2}\sin^2 (90^{\circ}-53^{\circ})\times \sec^2 53^{\circ}+\frac{2}{\sqrt{3}}×\sqrt3$ $=\operatorname{cosec}^2 36^{\circ}-\cot^2 36^{\circ}+\frac{3}{2}\cos^2 53^{\circ}\times \sec^2 53^{\circ}+2$ $=1+\frac{3}{2}\cos^2 53^{\circ}\times \frac{1}{\cos^2 53^{\circ}}+2$ ($\because \operatorname{cosec}^2 \theta-\cot ^2 \theta = 1$ ) $=1+\frac{3}{2}+2$ $=\frac{2+3+4}{2}$ $=\frac{9}{2}$ Hence, the correct answer is $\frac{9}{2}$.
Question : Select the most appropriate ANTONYM of the word 'identify' from the given sentence:
My pet dog can classify and identify our family friends easily and doesn’t overlook anonymous and unknown ones.
Option 1: anonymous
Option 2: spot
Option 3: classify
Option 4: overlook
Correct Answer: overlook
Solution : The correct solution is the fourth option.
Explanation: In the given sentence, the word identify is used in the context of recognising or acknowledging family friends. The antonym, in this case, would be overlook meaning to fail to notice or acknowledge. It contrasts with
Question : Directions: If A denotes addition, B denotes multiplication, C denotes subtraction, and D denotes division, then what will be the value of the following equation: 24 B 14 C 264 D 22 A 42 = ?
Option 1: 346
Option 2: 336
Option 3: 366
Option 4: 356
Correct Answer: 366
Solution : Given: A denotes addition, B denotes multiplication, C denotes subtraction, and D denotes division 24 B 14 C 264 D 22 A 42 = ?
After replacing the letters with the mathematical signs, we get – = 24 × 14 – 264 ÷ 22 +
Question : Directions: In the following question, some parts of the sentence may have 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."
Not only we seen (1) / the Tali temple but (2) / also the Thirunelli temple. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct choice is the first option.
The law of inversion needs to be followed here, in which both the subject and the verb are inverted as it indicates more emphasis and is thus replaced with the correct form "have we seen".
Therefore, the correct
Question : The given bar graph represents the number of boys and girls in five different schools. Read the graph and answer the question that follows. What is the average number of students (girls and boys) in schools A, B, C, D and E?
Option 1: 1250
Option 2: 625
Option 3: 660
Option 4: 596
Correct Answer: 1250
Solution : As per the given graph, The total number of students (girls and boys) in schools A, B, C, D and E = 600 + 500 + 450 + 550 + 750 + 650 +700 + 600 + 800 + 650 = 6250 The number of
Question : Direction: If CUSTOM is written as UCTSMO, then how PARENT will be written in the same code?
Option 1: ERAPTN
Option 2: TNERAP
Option 3: RAPTNE
Option 4: APERTN
Correct Answer: APERTN
Solution : Given:
CUSTOM is written as UCTSMO.
In the given code, the letters in the word are grouped in pairs, and within each pair, the letters are reversed.
Similarly, applying the same pattern to the word PARENT, we have –
PARENT will be written as APERTN.
Question : What is the units digit of $279 + 167\times 342$?
Option 1: 1
Option 2: 3
Option 3: 5
Option 4: 8
Correct Answer: 3
Solution : Unit place digit of 279 = 9 Unit place digit of 167 × 342 ⇒ 7 × 2 = 14 ⇒ 4 Unit place digit of 9 + 4 = 13 ⇒ 3 Hence, the correct answer is 3.
Question : How many of the following numbers are divisible by 3 but not by 9? 5826, 5964, 6039, 6336, 6489, 6564, 6867, and 6960
Option 1: 5
Option 3: 4
Option 4: 6
Correct Answer: 4
Solution : Given: 5826, 5964, 6039, 6336, 6489, 6564, 6867, and 6960. We know, a number is divisible by 3 if the sum of the digits of the number is divisible by 3. Also, a number is divisible by 9 if the sum of the digits of
Question : Husk of a coconut is made of ______ tissue.
Option 1: collenchyma
Option 2: xylem
Option 3: sclerenchyma
Option 4: parenchyma
Correct Answer: sclerenchyma
Solution : The correct answer is sclerenchyma.
The husk of a coconut is made primarily of a type of tissue called sclerenchyma. It is a specialised type of plant tissue known for its hardness and rigidity, which is due to the presence of thick, lignified (woody) cell
Question : The sum of interior angles of a regular polygon is $1440^{\circ}$. The number of sides of the polygon is:
Option 1: 10
Option 2: 12
Option 3: 6
Correct Answer: 10
Solution : Sum of all angles = $1440^{\circ}$ Let the number of sides of the polygon be $n$. ⇒ $1440^{\circ}$ = $(n-2)×180^{\circ}$ ⇒ $(n-2)$ = $\frac{1440}{180}$ ⇒ $(n-2)$ = $8$ ⇒ $n$ = $2+8$ = $10$ Hence, the correct answer is 10.
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