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Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Professor Sprout was standing (1) ____ a trestle bench in the centre of the greenhouse. (2)_____ twenty (3) ____ of different-coloured ear muffs (4) ______ lying on the bench. Harry (5) _____ his place between Ron and Hermione. Question: Select the most appropriate option to fill in the blank number 5.
Option 1: have to take
Option 2: had taken
Option 3: has took
Option 4: have taken
Correct Answer: had taken
Solution : The correct choice is the second option.
Explanation: The use of had taken is consistent with the past perfect tense. The past perfect tense is employed to indicate an action that was completed before another past action. In this case, the action of
Question : Directions: In a certain code language, A + B means A is the mother of B; A – B means A is the brother of B; A × B means A is the wife of B; A ÷ B means A is the father of B. Based on the above, how is B related to E if A – B × C ÷ D + E?
Option 1: Mother's mother
Option 2: Brother's mother
Option 3: Mother's husband
Option 4: Daughter's husband
Correct Answer: Mother's mother
Solution : According to 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.
From the above family tree, it's clear that B is the mother of D, and
Question : Simplify the following: $7\left(\cot 11^{\circ} \cot 13^{\circ} \cot 19^{\circ} \cot 29^{\circ} \cot 61^{\circ} \cot 71^{\circ} \cot 77^{\circ} \cot 79^{\circ}\right)$
Option 1: 7
Option 2: – 7
Option 3: – 1
Option 4: 1
Correct Answer: 7
Solution : $7\left(\cot 11^{\circ} \cot 13^{\circ} \cot 19^{\circ} \cot 29^{\circ} \cot 61^{\circ} \cot 71^{\circ} \cot 77^{\circ} \cot 79^{\circ}\right)$ $=7\left(\cot 11^{\circ} \cot 13^{\circ} \cot 19^{\circ} \cot 29^{\circ} \cot (90^{\circ}-29^{\circ}) \cot (90^\circ-19^\circ) \cot (90^\circ-13^\circ) \cot (90^\circ-11^\circ)\right)$ $=7\left(\cot 11^{\circ} \cot 13^{\circ} \cot 19^{\circ} \cot 29^{\circ} \tan 29^{\circ} \tan 19^{\circ} \tan
Question : ABCD is a square and $\triangle \mathrm{MAB}$ is an equilateral triangle.MC and MD are joined. What is the degree measure of $\angle MDC$?
Option 1: 78°
Option 2: 60°
Option 3: 65°
Option 4: 75°
Correct Answer: 75°
Solution : Given, ABCD is a square, i.e. AB = BC = CD = AD Also, $\triangle \mathrm{MAB}$ is an equilateral triangle, i.e. AB = BM = MA Now, $\angle MAD = 90°+60°=150°$ In $\triangle MAD$, $\angle MAD + \angle ADM + \angle DMA=180°$ ⇒ $150° +
Question : Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. PC = 12 cm, and BP = 10 cm, then the length of AB (in m) is:
Option 1: 5.4
Option 2: 6
Option 3: 5
Option 4: 4.4
Correct Answer: 4.4
Solution : PC=12 cm BP=10 cm PC2 = AP × BP Let AB be $x$. AP = AB + PB = $x+10$ PC2 = AP × BP $12^2 = (x+10) × 10 $ ⇒ $\frac{144}{10} = x + 10$ ⇒ $x+10 = 14.4$ ⇒ $x
Question : Study the given table and answer the question that follows. The table shows the classification of 100 students based on the marks obtained by them in Statistics and Mathematics in an examination out of 50.
If at least 60% marks in Mathematics are required for pursuing higher studies in Mathematics, then how many students will be eligible to pursue higher studies in Mathematics?
Option 1: 33
Option 2: 27
Option 3: 90
Option 4: 10
Correct Answer: 33
Solution : According to the question: At least 60% marks in Mathematics are required for pursuing higher studies in Mathematics, Total Marks in Mathematics = 50 ⇒ 60% of 50 = $\frac{60\times{50}}{100}$ = 30 marks Number of students having 30 marks or above = 33 $\therefore$ The
Question : The following sentence has been divided into parts. One of them may contain an error. Select the part that contains the error from the given options. If you don't find any error, mark 'No error' as your answer.
The availability of funds will be/ensured if they all tried to / submit the proposals on time.
Option 1: The availability of funds will be
Option 2: No error
Option 3: submit the proposals on time
Option 4: ensured if they all tried to
Correct Answer: ensured if they all tried to
Solution : The error lies in the fourth option.
The original sentence uses the past tense tried to, but it should use the present tense try to to convey the idea that ensuring the availability of funds is dependent on their
Question : Choose the word that is opposite in meaning to the given word.
Reluctant
Option 1: Loathe
Option 2: Cagey
Option 3: Inclined
Option 4: Abatis
Correct Answer: Inclined
Solution : The correct choice is the third option.
Explanation: Reluctant refers to being hesitant or unwilling to do something. On the other hand, inclined means having a tendency or preference towards a particular action or choice.
Therefore, the correct antonym is inclined.
The meanings of the
Question : Directions: Arrange the following words in the sequence in which they occur in the English dictionary. 1. Spark 2. Smile 3. Style 4. Smart 5. Sales
Option 1: 5, 4, 2, 1, 3
Option 2: 4, 3, 1, 2, 5
Option 3: 1, 3, 5, 2, 4
Option 4: 5, 2, 3, 4, 1
Correct Answer: 5, 4, 2, 1, 3
Solution : Given: 1. Spark 2. Smile 3. Style 4. Smart 5. Sales
Step 1: Compare the first letter of each word. Since all the words start with the same letter S, then move on to the next letter. Step 2: The
Question : Directions: Select the option that will replace the question mark (?) in the figure given below to complete the pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
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