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Question : Select the most appropriate meaning of the underlined idiom in the given sentence. His comments cast a slur upon the integrity of his manager.
Option 1: redeemed
Option 2: praised
Option 3: improved
Option 4: damaged
Correct Answer: damaged
Solution : The fourth option is the correct choice.
Cast a slur upon means to bring discredit or disgrace; damage.
Hence, the correct meaning is damaged.
Question : The six-digit number $\mathrm{N = 4a6b9c}$ is divisible by $99$, then the maximum sum of the digits of $\mathrm{N}$ is:
Option 1: 18
Option 2: 36
Option 3: 45
Option 4: 27
Correct Answer: 27
Solution : We have, the six-digit number $\mathrm{N = 4a6b9c}$ is divisible by $99$. Divisibility rule for $9$, A number is divisible by $9$ if the sum of digits is divisible by $9$. As $\mathrm{N = 4a6b9c}$ is divisible by $9$. The sum of the digits $=\mathrm{(4+a+6+b+9+c)}$
Question : Brain drain
Option 1: Is a disease
Option 2: Refers to dropouts from educational and technical institutions
Option 3: Is fruitless expenditure on scientific and industrial research
Option 4: Refers to the emigration of skilled person
Correct Answer: Refers to the emigration of skilled person
Solution : The correct answer Refers to the emigration of a skilled person.
Brain drain is a term used for the migration of educated, professional, or skilled people from one country, sector, or field to another, usually for better pay or
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 15, 48, 148, ?, 1353
Option 1: 756
Option 2: 492
Option 3: 449
Option 4: 520
Correct Answer: 449
Solution : Given: 15, 48, 148, ?, 1353
Multiply the number by 3 and add a natural number in increasing order starting from 3, to get the required missing number – 15 × 3 + 3 = 45 + 3 = 48 48 × 3 + 4
Question : Gautam goes to work at a speed of 12 km/hr and returns home at 10 km/hr. His average speed is:
Option 1: 11 km/hr
Option 2: 22 km/hr
Option 3: 10.9 km/hr
Option 4: 12.5 km/hr
Correct Answer: 10.9 km/hr
Solution : Given: Gautam goes to work at a speed of 12 km/hr. He returns home at a speed of 10 km/hr. Let the distance between home and office be $x$. Then, the total distance is 2$x$. Time taken to reach office $=\frac{x}{12}$ hr Time taken
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 1, 2, 5, 26, ?
Option 1: 677
Option 2: 252
Option 3: 526
Option 4: 125
Correct Answer: 677
Solution : Given: 1, 2, 5, 26, ?
Add 1 to the square of each previous term to obtain the next term in the series. 12 + 1 = 2; 22 + 1 = 5; 52 + 1 = 26; 262 + 1
Question : Statement - I : Complex tissue is made up of more than one type of cells.
Statement - II : Meristems are examples of permanet tissue.
Option 1: Statement i is correct , but statement II is incorrect
Option 2: Statement I is incorcet , but Statement II is correct
Option 3: Both the statements I and II are correct
Option 4: Both the statements I and II are incorrect
Correct Answer: Statement i is correct , but statement II is incorrect
Solution : The correct option is Statement i is correct , but statement II is incorrect
Plant complex tissues are made up of many cell types that collaborate to accomplish specialised activities. Complex tissues include xylem and phloem,
Question : If $x=\frac{\sqrt{5}+1}{\sqrt{5}-1}$ and $y=\frac{\sqrt{5}-1}{\sqrt{5}+1}$, then the value of $\frac{x^{2}+xy+y^{2}}{x^{2}-xy+y^{2}}$ is:
Option 1: $\frac{3}{4}$
Option 2: $\frac{4}{3}$
Option 3: $\frac{3}{5}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{4}{3}$
Solution : Given: $x=\frac{\sqrt{5}+1}{\sqrt{5}-1}$ and $y=\frac{\sqrt{5}-1}{\sqrt{5}+1}$, then $x^2=\frac{5+1+2\sqrt{5}}{5+1-2\sqrt{5}}$ and $y^2=\frac{5+1-2\sqrt{5}}{5+1+2\sqrt{5}}$ ⇒ $x^2=\frac{6+2\sqrt{5}}{6-2\sqrt{5}}$ and $y^2=\frac{6-2\sqrt{5}}{6+2\sqrt{5}}$ and, $xy = \frac{\sqrt{5}+1}{\sqrt{5}-1}×\frac{\sqrt{5}-1}{\sqrt{5}+1}=1$ Putting the values, we get: $\frac{x^{2}+xy+y^{2}}{x^{2}-xy+y^{2}}$ = $\frac{\frac{6+2\sqrt{5}}{6-2\sqrt{5}}+1+\frac{6-2\sqrt{5}}{6+2\sqrt{5}}}{\frac{6+2\sqrt{5}}{6-2\sqrt{5}}-1+\frac{6-2\sqrt{5}}{6+2\sqrt{5}}}$ = $\frac{\frac{(6+2\sqrt{5})^2+6^2-(2\sqrt5)^2+(6-2\sqrt{5})^2}{(6)^2-(2\sqrt{5})^2}}{\frac{(6+2\sqrt{5})^2-6^2+(2\sqrt5)^2+(6-2\sqrt{5})^2}{(6)^2-(2\sqrt{5})^2}}$ = $\frac{36+20+24\sqrt5+36-20+36+20-24\sqrt5}{36+20+24\sqrt5-36+20+36+20-24\sqrt5}$ = $\frac{128}{96}$ = $\frac{4}{3}$ Hence, the correct answer is $\frac{4}{3}$.
Question : Choose the option that is the correct passive form of the sentence.
Daniel and Mary invited us to their wedding.
Option 1: We have been invited to Daniel and Mary's wedding.
Option 2: We were invited to Daniel and Mary's wedding.
Option 3: We are invited to Daniel and Mary's wedding.
Option 4: We had been invited to Daniel and Mary's wedding.
Correct Answer: We were invited to Daniel and Mary's wedding.
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 sentence becomes the subject in
Question : Directions: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series. 206, 309, 412, ?, 618, 721
Option 1: 751
Option 2: 749
Option 3: 515
Option 4: 514
Correct Answer: 515
Solution : Given: 206, 309, 412, ?, 618, 721
In the given series, add 103 to the previous number to obtain the next number. 206 + 103 = 309; 309 + 103 = 412; 412 + 103 = 515; 515 + 103 = 618; 618 + 103
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