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Question : Directions: In the following question, some parts of the sentence may have some 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".
My nephew (1) / begun working for me (2) / about ten years ago. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The verb begun should be replaced with began as the sentence requires the past form of the verb as per the simple past tense.
Therefore, the correct sentence is: My nephew began working for me
Question : The factors of $ x^4+x^2+25$ are:
Option 1: $\left(x^2+3 x-5\right)\left(x^2-3 x+5\right)$
Option 2: $\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$
Option 3: $\left(x^2-3 x+5\right)\left(x^2-3 x+5\right)$
Option 4: $\left(x^2+3 x+5\right)\left(x^2+3 x+5\right)$
Correct Answer: $\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$
Solution : $ x^4+x^2+25$ $= x^4+10x^2-9x^2+25$ $= x^4+10x^2+25-9x^2$ $=(x^2+5)^2-9x^2$ $=(x^2+5)^2-(3x)^2$ $=\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$ Hence, the answer is $\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$.
Question : The following table shows the number of different items in different shops and their respective selling prices per unit.
Find the percentage of total revenue which comes from Cooler from shop E, considering all given items are being sold from shop E and from all the given shops only given three items are being sold. (Rounded off to three decimal places)
Option 1: 4.226%
Option 2: 3.516%
Option 3: 10.45%
Option 4: 8.910%
Correct Answer: 4.226%
Solution : Total cooler sold by shop E $=\frac{1}{10}\times4000=400$ Selling price of 400 coolers = 400 × 8000 = 3200000 Total AC sold by shop E $=\frac{5}{10}\times4000=2000$ Selling price of 2000 AC = 2000 × 26500 = 53000000 Total fan sold by shop E $=\frac{4}{10}\times4000=1600$ Selling price
Question : Reshma alone can do a work in 14 days. Bhavana is 40% more efficient than Reshma. The number of days, Bhavana alone will take to do the same piece of work is:
Option 1: 10 days
Option 2: 40 days
Option 3: 28 days
Option 4: 14 days
Correct Answer: 10 days
Solution : Let the time Bhavana takes to complete the work as B. Since Bhavana is 40% more efficient than Reshma, she can complete the work in $\frac{100\%}{140\%}$ = $\frac{5}{7}$th of the time that Reshma takes. ⇒ B = $\frac{5}{7} × 14$ ⇒ B = $10$
Question : The bar graph given below shows the population of two states S1 and S2 in 5 years. Which of the following statements is correct? I. The ratio of the population of S1 to the population of S2 in the year Y1 are 3 : 1. II. The population of S1 is 140% of the population of S2 in the year Y3.
Option 1: Both I and II
Option 2: Neither I nor II
Option 3: Only II
Option 4: Only I
Correct Answer: Only II
Solution : Statement I: The ratio of the population of S1 to the population of S2 in the year Y1 are 3 : 1. From the graph, Population of S1 in Y1 = 300 Population of S2 in Y1 = 600 ⇒ Ratio = 300 :
Question : Directions: In a certain code language, CAKE is written as 6, and JUICE is written as 7. How will JUG be written in that language?
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 6
Correct Answer: 5
Solution : Given: CAKE is written as 6 and JUICE is written as 7.
Add 2 to the number of letters of CAKE, to obtain the required code – Number of letters in CAKE = 4; 4 + 2 = 6 Thus, CAKE is coded as 6.
Question : Directions: Select the option that is related to the third word in the same way as the second word is related to the first word. (The words must be considered meaningful English words and must NOT be related to each other based on the number of letters/number of consonants/vowels in the word.) Plant : Pot :: Fish : ?
Option 1: Mud
Option 2: Sand
Option 3: Stone
Option 4: Aquarium
Correct Answer: Aquarium
Solution : Given: Plant : Pot :: Fish : ?
Like, plants are kept in pots. Similarly, fishes are kept in aquariums.
Hence, the fourth option is correct.
Question : Directions: Select the option related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. SEASONAL : OEAALNSS :: FRUITS : ?
Option 1: BRUVDR
Option 2: BRUART
Option 3: UIFRST
Option 4: IUSTRF
Correct Answer: UIFRST
Solution : Given: SEASONAL : OEAALNSS :: FRUITS : ?
Firstly arrange vowels in reverse alphabetical order and then arrange all consonants in alphabetical order – SEASONAL → Vowels = OEAA, Consonants = LNSS Thus, SEASONAL is coded as OEAALNSS. Similarly, by following the same pattern for
Question : If $(\frac{5}{9}\times x)-(\frac{2}{5}\times \frac{9}{4})=-\frac{4}{5}$, then find $x$.
Option 1: 0.18
Option 2: 0.12
Option 3: 2
Option 4: 0.54
Correct Answer: 0.18
Solution : Given: $(\frac{5}{9}\times x)-(\frac{2}{5}\times \frac{9}{4})=-\frac{4}{5}$ ⇒ $\left ( \frac{5}{9} \times x \right ) - \frac{9}{10} = -\frac{4}{5}$ ⇒ $\frac{5}{9}x = -\frac{4}{5} + \frac{9}{10}$ ⇒ $\frac{5}{9}x = \frac{1}{10}$ ⇒ $x=\frac{9}{50}$ ⇒ $x$ = 0.18 Hence, the correct answer is 0.18.
Question : Select the correct passive voice of the given sentence. How can you determine your audience's needs?
Option 1: How is your audience's needs determined?
Option 2: How can your audience's needs be determined?
Option 3: How are the audience's needs determined by you?
Option 4: How could your audience's needs determined?
Correct Answer: How can your audience's needs be determined?
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes the subject in the
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