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Question : If $\frac{x}{3}+\frac{3}{x}=1$, then the value of $x^3$ is:
Option 1: 1
Option 2: 27
Option 3: 0
Option 4: –27
Correct Answer: –27
Solution : Given: $\frac{x}{3}+\frac{3}{x}=1$ ⇒ $\frac{x^2+9}{3x}=1$ ⇒ $x^2+9=3x$ ⇒ $x^2-3x+9=0$ ⇒ $(x+3)(x^2-3x+9)=(x+3)×0$ [Multiplying both sides by $(x+3)$] ⇒ $x^3+3^3=0$ (Applying formula) ⇒ $x^3=-(3)^3$ ⇒ $x^3=-27$ Hence, the correct answer is –27.
Question : Select the word segment that substitutes (replaces) the bracketed word segment correctly and completes the sentence meaningfully. The percentage of employees who called in sick and the number of employees who left their jobs within 2 years (were reflective of the level of job satisfaction).
Option 1: are reflective of the level of job satisfaction
Option 2: is reflective of the level of job satisfaction
Option 3: has reflected the level of job satisfaction
Option 4: were reflective on the level of job satisfaction
Correct Answer: are reflective of the level of job satisfaction
Solution : The correct choice is the first option.
Explanation: The use of "are" instead of "were" in the sentence is justified because it maintains the present tense agreement with the subjects "the percentage of
Question : A sum of Rs. 2,000 becomes Rs. 3,120 in two years at a certain rate of simple interest. What is the rate of interest per annum?
Option 1: 34% per annum
Option 2: 33% per annum
Option 3: 30% per annum
Option 4: 28% per annum
Correct Answer: 28% per annum
Solution : Principle amount (P) = Rs. 2,000 Amount after two years (A) = Rs. 3,120 Number of years (t) = 2 Interest earned = I = A - P = Rs. 3,120 - Rs. 2,000 = Rs. 1120 Use the formula below. Simple Interest
Question : Select the most appropriate meaning of the underlined idiom in the given sentence. He will get his work done by hook or by crook.
Option 1: by any means, good or bad
Option 2: by persuading
Option 3: by bribing
Option 4: by threatening
Correct Answer: by any means, good or bad
Solution : The first option is the correct answer.
The idiom by hook or by crook conveys the idea of being determined to achieve a goal using any possible means, whether they are considered good or bad. In the context of the
Question : Directions: In the following question, select the missing number of the given series. 2, 5, 14, 41, 122, ?
Option 1: 370
Option 2: 365
Option 3: 380
Option 4: 368
Correct Answer: 365
Solution : Given: 2, 5, 14, 41, 122, ?
The pattern is as follows – (2 × 3) – 1 = 6 – 1 = 5 (5 × 3) – 1 = 15 – 1 = 14 (14 × 3) – 1 = 42 – 1 =
Question : Directions: In the following Venn diagram, the Rectangle stands for Judges, the Triangle stands for Males, and the Hexagon stands for Golf players. The given numbers represent the number of persons in that particular category. How many male judges are there in total?
Option 1: 26
Option 2: 22
Option 3: 17
Option 4: 34
Correct Answer: 34
Solution : In the diagram, the shaded parts represent the number of male judges.
Thus, the number of male judges = 26 + 8 = 34 Hence, the fourth option is correct.
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph. A. Louis was enthralled by the concept of a raised dots system. B. He made up his mind to use the technique to represent an alphabetic code. C. Blind persons could read large-letter books that are bulky with the aid of this alphabet code. D. Additionally, he developed the six-dot cell technology, which was at his fingertips.
Option 1: DCAB
Option 2: BCDA
Option 3: ABCD
Option 4: CDBA
Correct Answer: ABCD
Solution : The paragraph starts with sentence A which tells us that Louis was enthralled and it is continued in sentence B which indicates that he made up his mind to use the technique. It is followed by sentence C which tells us that blind persons could
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Cartoon 2. Carrier 3. Carrying 4. Carousel 5. Carnival 6. Carriage
Option 1: 5, 4, 2, 6, 3, 1
Option 2: 5, 4, 6, 3, 2, 1
Option 3: 5, 1, 4, 6, 2, 3
Option 4: 5, 4, 6, 2, 3, 1
Correct Answer: 5, 4, 6, 2, 3, 1
Solution : Given: 1. Cartoon 2. Carrier 3. Carrying 4. Carousel 5. Carnival 6. Carriage
Step 1: Since the first three letters of all the words are the same, let's move on to the next letter. Step 2: Compare the fourth letter
Question : The average mark of 60 students in a class is 62. The average marks of boys and girls in that subject are 60 and 65, respectively. The number of boys in the class is:
Option 1: 36
Option 2: 25
Option 3: 41
Correct Answer: 36
Solution : Using the rule of alligation, we get, So, boys : girls = 3 : 2 Total students = 60 $\therefore$ Number of boys $=\frac{3}{3+2}×60=36$ Hence, the correct answer is 36.
Question : Which among the following carries impure blood to human heart ?
Option 1: Aorta
Option 2: Pulmonary vein
Option 3: Pulmonary arteries
Option 4: Vena Cava
Correct Answer: Vena Cava
Solution : The correct option is Vena cava.
The vena cava is a large vein that returns deoxygenated blood to the heart from various areas of the body. The superior vena cava, which returns blood from the upper body, and the inferior vena cava, which returns
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