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Question : In $\triangle A B C $, AB and AC are produced to points D and E, respectively. If the bisectors of $\angle C B D$ and $\angle B C E$ meet at the point O, and $\angle B O C=57^{\circ}$, then $\angle A$ is equal to:
Option 1: 93°
Option 2: 66°
Option 3: 114°
Option 4: 57°
Correct Answer: 66°
Solution : Given: $\angle BOC = 57^\circ$ ⇒ $\angle BOC = 90^\circ – \frac{\angle BAC}{2}$ ⇒ $\frac{\angle BAC}{2} = 90^\circ – 57^\circ$ ⇒ $\frac{\angle BAC}{2} = 33^\circ$ ⇒ $\angle BAC = 66^\circ$ Hence, the correct answer is $66^\circ$.
Question : Select the most appropriate ANTONYM of the given word. Scanty
Option 1: Expedient
Option 2: Paltry
Option 3: Nasty
Option 4: Abundant
Correct Answer: Abundant
Solution : The fourth option is correct.
Scanty means lacking in quantity or insufficient, indicating a small or inadequate amount of something. Abundant means present in large quantities, more than enough, or plentiful. So, in the context of opposites, abundant is the antonym that conveys the idea
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
I don’t understand why did you not call me last night.
(1) Why had you not call
(2) Why you did not call
(3) Why not did you call
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
The sentence is grammatically inaccurate. The subject should be used before the verb, as the word order is changed when the question is converted into a statement. In this case, the question word is "why", so
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones to complete the series. Employ, Oyster, Error, Ornate, Tennis, ?
Option 1: Neptune
Option 2: Nature
Option 3: Terminate
Option 4: Isomer
Correct Answer: Isomer
Solution : Given: employ, oyster, error, ornate, tennis,?
Here, the last two letters of a word are the first two letters of the next word in the series. employ→oyster→error→ornate→tennis So,
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
The suggestion given by him (1) / is as bad, if not worst (2) / than the one suggested by you. (3) / No Error (4)
Solution : The error lies in the second part of the sentence.
The word worst should be replaced with worse to maintain proper comparative form.
The worst is the superlative form, while worse is the comparative form, which makes the sentence grammatically accurate.
Therefore, the correct sentence
Question : A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?
Option 1: 30 days
Option 2: 50 days
Option 3: 40 days
Option 4: 60 days
Correct Answer: 40 days
Solution : A does work for 3 + 2 + 2 = 7 days Work done by A = $\frac{7}{10}$ B does work for 3 days. Work done by B = $\frac{3}{12}=\frac{1}{4}$ Total work completed by A and B = $\frac{7}{10} + \frac{1}{4}$ = $ \frac{14}{20}
Question : The largest wildlife sanctuary in India is famous for which of the following animal?
Option 1: Wild Indian Ass
Option 2: Rhinoceros
Option 3: Apes
Option 4: Tigers
Correct Answer: Wild Indian Ass
Solution : The correct answer is Wild Indian Ass.
Wildlife sanctuaries in India are designated under the Wildlife Protection Act of 1972. It is a protected area that covers all the flora and fauna of the space, and any hunting, killing, or poaching activities
Question : What is the least possible value of p for which the number 84pp153p is divisible by 9?
Option 1: 2
Option 2: 1
Option 3: 7
Option 4: 5
Correct Answer: 2
Solution : A number is divisible by 9 if the sum of its digits is divisible by 9. Given number = 84pp153p The sum of digits without including p = 8 + 4 + 1 + 5 + 3 = 21 ⇒ The least possible value of
Question : What is the average of all numbers between 8 and 74 which are divisible by 7?
Option 1: 40
Option 2: 41
Option 3: 42
Option 4: 43
Correct Answer: 42
Solution : The first number to be divisible by 7 in this range = 14 The last number to be divisible by 7 in this range = 70 This forms an arithmetic progression, So the average = $\frac{70+14}{2}$ = 42 [Using arithmetic mean = $\frac{\text{First term +
Question : Which of the following statements is correct?
I. On combustion over the air, lithium forms mainly the oxide. II. The alkali metal halides are all high-melting, colourless crystalline liquids.
Option 1: Neither I nor II
Option 2: Only II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Only I
Solution : The correct answer is Only I.
When lithium reacts with excess air, it often generates lithium oxide, but it can also form lithium peroxide. When lithium reacts with extra air, it often creates lithium oxide, but it can also form lithium peroxide. Hydrolyzing peroxides
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