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Question : The mean proportional of 0.04 and 0.36 is:
Option 1: 0.144
Option 2: 1.2
Option 3: 12
Option 4: 0.12
Correct Answer: 0.12
Solution : Mean proportional of 0.04 and 0.36 = $\sqrt{0.04 × 0.36}$ = 0.12 Hence, the correct answer is 0.12.
Question : If $(x^2-2x+1)=0$, then the value of $x^4+\frac{1}{x^4}$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: $(x^2-2x+1)=0$ ⇒ $x^2+1=2x$ Divide the given equation by $x$ on both sides, we get, ⇒ $x+\frac{1}{x}=2$ On squaring the above equation on both sides, we get, ⇒ $x^2+\frac{1}{x^2}+2=4$ ⇒ $x^2+\frac{1}{x^2}=2$ On squaring the above equation on both sides, we get, ⇒ $(x^2+\frac{1}{x^2})^2=2^2$ ⇒ $(x^4+\frac{1}{x^4})+2=4$
Question : Select the most appropriate ANTONYM of the given word.
FLEXIBLE
Option 1: elastic
Option 2: ductile
Option 3: pliable
Option 4: rigid
Correct Answer: rigid
Solution : The correct choice is the fourth option.
Flexible is used to describe something that can easily be bent.
Rigid is something that does not lose its shape, even with the application of force. This makes it the correct antonym of the given word.
The
Question : If $\frac{8+2 \sqrt{3}}{3 \sqrt{3}+5}=a \sqrt{3}–b$, then the value of $a + b$ is equal to:
Option 1: 18
Option 2: 15
Option 3: 24
Option 4: 16
Correct Answer: 18
Solution : Given: $\frac{8+2 \sqrt{3}}{3 \sqrt{3}+5}=a \sqrt{3}–b$ Rationalize the given fraction, $\frac{(8+2 \sqrt{3})\times(3\sqrt3–5)}{(3 \sqrt{3}+5)\times (3\sqrt3–5)}=\frac{24\sqrt3–40+18–10\sqrt3}{27–25}$ ⇒ $\frac{14\sqrt3–22}{2}=7\sqrt3–11$ Now, compare the value with the given expression $a \sqrt{3}–b$, we get, $7\sqrt3–11=a \sqrt{3}–b$ ⇒ $a=7,b=11$ The value of $a + b=7+11=18$. Hence, the correct answer is 18.
Question : Direction: In the following questions, identify the diagram that best represents the relationship among the classes given below.
Profit, Dividend, Bonus
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Both bonuses and dividends are a part of profits. But, bonuses and dividends are not related to each other in any way.
So, All bonuses are profits; All dividends are profits; No bonuses are dividends.
Based on the above statements, the Venn diagram will be
Hence,
Question : Directions: In a certain code language. RESENT is written as TGUCLR and PEOPLE is written as RGQNJC. How is PERSON written in the given language?
Option 1: RGTQML
Option 2: RGTQMP
Option 3: RGSUQL
Option 4: RGTUQP
Correct Answer: RGTQML
Solution : Given: RESENT is written as TGUCLR and PEOPLE is written as RGQNJC
Add 2 to the positional values of the first three letters and subtract 2 from the positional values of the last three letters. RESENT→R + 2 = T; E + 2 = G;
Question : Directions: Two statements are given followed by four alternative inferences. Select the most appropriate one. Statements: All files are numbered. All numbers are coded. Inferences: 1. All files are coded. 2. All codes are filed. 3. Some files are not numbered. 4. No numbers have codes.
Option 1: All files are coded
Option 2: All codes are filed
Option 3: Some files are not numbered
Option 4: No numbers have codes
Correct Answer: All files are coded
Solution : According to the given statements –
Inference 1: All files are coded – According to the given statements, all files are numbered and all numbers are coded. So, from this, it can be inferred that all files are coded. Thus, this inference
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: OQS
Option 2: JLN
Option 3: HJL
Option 4: MCP
Correct Answer: MCP
Solution : Let's check the options –
First option: OQS→O + 2 = Q; Q + 2 = S Second option: JLN→J + 2 = L; L + 2 = N Third option: HJL→H + 2 = J; J + 2 = L Fourth option: MCP→M –
Question : Find the part of the given sentence that has an error in it. If there is no error, choose 'No error'.
Democrats are often more receptive and accommodating of foreign people and cultures.
Option 1: No error
Option 2: Democrats are often more receptive
Option 3: foreign people and cultures.
Option 4: and accommodating of
Correct Answer: and accommodating of
It should be "accommodating to", as "accommodating to someone" means to be willing to please someone. This helps convey the intended meaning that Democrats are more willing to please foreign people and cultures.
Therefore, the correct
Question : Select the option that expresses the given sentence in passive voice.
The commanding officer ordered the troops to march ahead.
Option 1: The troops have been ordered to march ahead by the commanding officer.
Option 2: The troops were ordered to march ahead by the commanding officer.
Option 3: The troops were being ordered to march ahead by the commanding officer.
Option 4: The troops are ordered to march ahead by the commanding officer.
Correct Answer: The troops were ordered to march ahead by the commanding officer.
Solution : The correct option is the second option.
Explanation: 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
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