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Question : What is the value of $\frac{4}{3}\left(\sin ^2 35^{\circ}+\sin ^2 55^{\circ}\right) ?$
Option 1: $\frac{2}{3}$
Option 2: $\frac{4}{3}$
Option 3: $\frac{8}{9}$
Option 4: $\frac{3}{4}$
Correct Answer: $\frac{4}{3}$
Solution : $\frac{4}{3}(\sin^2 35^{\circ}+\sin^2 55^{\circ})$ $=\frac{4}{3}(\sin^2 35^{\circ}+\sin^2(90^{\circ}-35^{\circ}))$ $=\frac{4}{3}(\sin^2 35^{\circ}+\cos^235^\circ)$ $=\frac{4}{3}\times1$ $=\frac{4}{3}$ Hence, the correct answer is $\frac{4}{3}$.
Question : Choose the word that is opposite in meaning to the given word. Anomaly
Option 1: Omen
Option 2: Tangible
Option 3: Regularity
Option 4: Tangent
Correct Answer: Regularity
Solution : The third option is the correct choice.
Anomaly refers to something that is irregular or deviates from the norm. In contrast, regularity describes the quality of being regular or conforming to a standard.
The meanings of the other options are as follows:
Question : Select the option that can be used as a one-word substitute for the given group of words.
The compulsion to tell lies
Option 1: Pyromania
Option 2: Nymphomania
Option 3: Megalomania
Option 4: Mythomania
Correct Answer: Mythomania
Solution : The fourth option is correct.
The one-word substitute for the given group of words the compulsion to tell lies is mythomania.
Mythomania is a term used to describe a psychological condition or personality disorder characterised by a strong or pathological tendency to tell lies
Question : Directions: Seema walks 30 m North. Then she turns right and walks 30 m then she turns right and walks 55 m. Then she turns left and walks 20 m. Then she again turns left and walks 25m. How many metres away is she from her original position?
Option 1: 45 m
Option 2: 50 m
Option 3: 66 m
Option 4: 55 m
Correct Answer: 50 m
Solution : Firstly, we will draw the diagram as per the given instructions – As per the given information, the movement of Seema will look as follows –
Here, A is the starting point and F is the endpoint. So, AF is the distance from the
Question : A sum of money, when invested at the rate of 6.25% simple interest per annum, amounts to $\frac{11}{8}$ times itself in $n$ years. What is the value of $n$?
Option 1: 6
Option 2: 8
Option 3: 5
Option 4: 7
Correct Answer: 6
Solution : Given: Rate $(r)$ = 6.25% per annum Time $(t)$ = $n$ years Let the principal be $x$. Amount $=\frac{11}{8}\times $ Principal $= \frac{11x}{8}$ Simple interest = Amount – Principal $= \frac{11x}{8} - x= \frac{3x}{8}$ We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ According
Question : Select the option that expresses the given sentence in indirect speech. Sourabh said, "Alas! We have been cheated."
Option 1: Sourabh exclaimed with sorrow that they have been cheated.
Option 2: Sourabh said that oh we have cheated.
Option 3: Sourabh exclaimed with sorrow that they had been cheated.
Option 4: Sourabh was sad that they were cheated.
Correct Answer: Sourabh exclaimed with sorrow that they had been cheated.
Solution : The third option is correct.
When we convert direct speech to indirect speech, we generally change the tense, pronouns, and some words to make it grammatically correct in the reported speech.
In indirect speech, the present perfect
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on Line PQ). So, the left side of the reflected image will appear
Question : Directions: Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: All flags are symbols. All symbols are prides. Some prides are bright. Conclusions: (I) All flags are pride. (II) Some flags are bright is a possibility. (III) Some symbols are bright is a possibility.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: All conclusions I, II and III follow
Option 4: Both conclusions I and II follow
Correct Answer: All conclusions I, II and III follow
Solution : According to the given statements, the following Venn diagram can be drawn –
Let's analyse the conclusions – Conclusion I: All flags are pride – From the above diagram, it can be seen that the circle of flags is
Question : Select the most appropriate ANTONYM of the given word. TUMULT
Option 1: quarrel
Option 2: commotion
Option 3: disturbance
Option 4: calmness
Correct Answer: calmness
Solution : The fourth option is the correct choice.
Tumult means a loud, confused noise, especially one caused by a large mass of people. Calmness means the quality of being peaceful, quiet, and without worry. It is clear that "tumult" and "calmness" have opposite meanings.
Therefore, the
Question : Directions: Two positions of a DICE are shown. What number must be on the opposite face of 4?
Option 1: 2
Option 2: 3
Option 3: 4
Option 4: 5
Correct Answer: 2
Solution : According to the dice rule if two or three positions of the same dice are given with two common faces but in different orientations then out of those two common faces the faces that are not common are opposite to each other.
Therefore, the opposite
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