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Question : Find the LCM of 15, 24, 35 and 54.
Option 1: 5670
Option 2: 7560
Option 3: 7650
Option 4: 6570
Correct Answer: 7560
Solution : The LCM (Least Common Multiple) of 15, 24, 35, and 54 can be found using the prime factorization method. Prime factorization of 15 = $3^1 \times 5^1$ Prime factorization of 24 = $2^3 \times 3^1$ Prime factorization of 35 = $5^1 \times 7^1$ Prime factorization
Question : The ratio of 45% of 80% of A to 30% of 40% of B is 15 : 4. If the average of A and B is 67.5, what is the value of A – B?
Option 1: 10
Option 2: 18
Option 3: 12
Option 4: 15
Correct Answer: 15
Solution : The ratio of 45% of 80% of A to 30% of 40% of B is 15 : 4. The average of A and B is 67.5. According to the question, $\frac{\frac{45}{100}\times\frac{80}{100}\times \text{A}}{\frac{30}{100}\times\frac{40}{100}\times \text{B}} = \frac{15}{4}$ ⇒ $\frac{3\text{A}}{\text{B}} = \frac{15}{4}$ ⇒ $\frac{\text{A}}{\text{B}} = \frac{5}{4}$ So, take
Question : Identify the segment that contains a grammatical error. He said that he had forgot to lock the door before leaving.
Option 1: to lock the door
Option 2: He said that
Option 3: he had forgot
Option 4: before leaving
Correct Answer: he had forgot
Solution : The third option is correct.
Question : Directions: Study the following bar graph and answer the question.
The ratio of the average of the marks obtained in Biology for two terms to the average of the marks obtained in English and Mathematics for the first term only is:
Option 1: $43:92$
Option 2: $39:42$
Option 3: $29:34$
Option 4: $23:94$
Correct Answer: $29:34$
Solution : As per the given graph: The marks of students in Biology in 1st term = 90 The marks of students in Biology in 2nd term = 55 The average marks of students in Biology in both terms = $\frac{\text{ 1st term marks + 2nd term
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'.
I was taken with surprise (1) / when I saw (2) / the beautiful Taj Mahal. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The error lies in the first part of the sentence as taken by surprise is the right idiomatic expression, which means something occurred unexpectedly and should be used in place of taken with surprise, which does not make any sense. Here it means that the
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN 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 MN). So, the left side of the reflected image will appear
Question : Which of the following is a correct expression?
Option 1: Depreciation = Net investment - Gross investment
Option 2: Gross investment = Net investment - Depreciation
Option 3: Net investment = Gross investment - Depreciation
Option 4: Net investment = Gross investment + Depreciation
Correct Answer: Net investment = Gross investment - Depreciation
Solution : The correct option is Net investment = Gross investment - Depreciation.
Depreciation is subtracted from Gross investment to determine net investment. Depreciation is the term used to describe how capital assets lose value over time as a result
Question : If $\tan \theta -\cot \theta =0$, find the value of $\sin \theta +\cos \theta$.
Option 1: $0$
Option 2: $1$
Option 3: $\sqrt{2}$
Option 4: $2$
Correct Answer: $\sqrt{2}$
Solution : Given: $\tan\theta -\cot\theta =0$ $⇒\tan\theta=\cot\theta$ $\therefore\theta = 45^{\circ}$ $\therefore \sin\theta +\cos\theta = \sin45^{\circ} + \cos45^{\circ}=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}=\frac{2}{\sqrt2}=\sqrt2$ Hence, the correct answer is $\sqrt2$.
Question : In a $\triangle ABC$, the median AD, BE, and CF meet at G, then which of the following is true?
Option 1: 4(AD + BE + CF) > 3(AB + BC + AC)
Option 2: 2(AD + BE + CF) > (AB + BC + AC)
Option 3: 3(AD + BE + CF) > 4(AB + BC + AC)
Option 4: AB + BC + AC > AD + BE + CF
Correct Answer: AB + BC + AC > AD + BE + CF
Solution : AB + AC > 2AD -------------(i) AB + BC > 2BE -------------(ii) AC + BC > 2CF -------------(iii) Adding (i), (ii), and (iii) ⇒ 2(AB + BC + AC) > 2 (AD + BE +
Question : Robert Morrison MacIver says "Kinship creates society and society at length creates"_____.
Option 1: nation
Option 2: city-state
Option 3: association
Option 4: state
Correct Answer: state
Solution : The correct answer is state.
Robert Morrison MacIver was a sociologist, political scientist, and educator. He expressed belief in the compatibility of individualism and social organisation. MacIver says “Kinship creates society and society at length creates state”. MacIver, hinting at the link between kinship, social
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