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Question : At a certain annual rate (rounded off to the nearest integer) of simple interest, a sum of money becomes nine times its original value in 21 years. By how much does the rate of interest change if the same sum of money has to become 12 times its original value in 25 years?

Option 1: Decreases by 6%

Option 2: Increases by 6%

Option 3: Increases by 8%

Option 4: Decreases by 8%

Team Careers360 25th Jan, 2024

Correct Answer: Increases by 6%


Solution : Let the principal be $x$.
In 21 years the simple interest is $9x-x=8x$
In 25 years the simple interest is $12x-x=11x$
Case I: Time = 21 years
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ Rate = $\frac{8x×100}{21x}$
⇒ Rate = $\frac{800}{21}\approx$

11 Views

Question : Select the most appropriate SYNONYM of the word ‘obscene’ from the following sentence.
Vijay was suspended from duty because he gave dirty and prejudiced remarks to his female colleagues in the office.

Option 1: Dirty

Option 2: Suspended

Option 3: Prejudice

Option 4: Colleagues

Team Careers360 24th Jan, 2024

Correct Answer: Dirty


Solution : The first option is correct.

Explanation: In this context, the word obscene is used to describe remarks made by Vijay that are offensive and inappropriate. The word dirty serves as a synonym that captures the sense of offensiveness and impurity associated with the remarks.

18 Views

Question : Directions: A passenger on a train is very upset because there is a mix-up with her train ticket reservation.

Option 1: Tell her how to avoid mistakes

Option 2: Tell her how you booked your ticket

Option 3: Try to calm her down

Option 4: Get irritated with her

Team Careers360 25th Jan, 2024

Correct Answer: Try to calm her down


Solution : Let's check each option according to the given statement –
First option: Tell her how to avoid mistakes.
The situation at hand involves a passenger who is currently experiencing distress due to a mix-up with her train ticket reservation. We must

84 Views

Question : Two trains 320 m and 205 m in length are running towards each other on parallel lines. One train runs at the rate of 70 kmph and the other train runs at the rate of 56 kmph. Find the time they will take to cross each other (in seconds).

Option 1: 10

Option 2: 20

Option 3: 12

Option 4: 15

Team Careers360 24th Jan, 2024

Correct Answer: 15


Solution : Let $s$ be the relative speed of the trains, $d{_1}$​ be the length of the first train, and $d{_2}$​ be the length of the second train.
⇒ $s=70+56=126\mathrm{\ km/hr}=126\times \frac{5}{18}\mathrm{\ m/s}=35\mathrm{\ m/s}$
Time $=\frac{d{_1}+d{_2}}{s}=\frac{320+205}{35}=\frac{525}{35}=15$ seconds
Hence, the correct answer is 15.

17 Views

Question : A mixture of 70 litres of wine and water contains 10% of water. How much water must be added to make the water $12 \frac{1}{2}\%$ of the resulting mixture?

Option 1: 5 litres

Option 2: 3 litres

Option 3: 2 litres

Option 4: 4 litres

Team Careers360 23rd Jan, 2024

Correct Answer: 2 litres


Solution : Initial quantity of mixture = 70 litres
Quantity of water in the initial mixture = 10% of 70 = 7 litres
Let $x$ litres water be added.
The final quantity of mixture = 70 + $x$
Quantity of water in the final mixture =

13 Views

Question : The master copy of genetic information is

Option 1: Nucleus

Option 2: rRNA

Option 3: mRNA

Option 4: DNA

Team Careers360 25th Jan, 2024

Correct Answer: DNA


Solution : The correct answer is DNA.

DNA is the master copy of genetic information. DNA is a double-stranded molecule that holds all of the genetic information required for the construction, and maintenance of an organism. Except for red blood cells, it is contained in the

6 Views

Question : If $(x+\frac{1}{x})^2=3$, then the value of $x^{206}+x^{200}+x^{90}+x^{84}+x^{18}+x^{12}+x^6+1$ is:

Option 1: $0$

Option 2: $1$

Option 3: $84$

Option 4: $206$

Team Careers360 24th Jan, 2024

Correct Answer: $0$


Solution : Given: $(x+\frac{1}{x})^2=3$
We know that the algebraic identity is $(x+\frac{1}{x})^3=x^3+\frac{1}{x^3}+3(x+\frac{1}{x})$.
$(x+\frac{1}{x})^2=3$
By taking the square root on both sides of the above equation, we get,
$(x+\frac{1}{x})=\sqrt3$
By taking the cube on both sides of the above equation, we get,
$(x+\frac{1}{x})^3=(\sqrt3)^3$
$x^3+\frac{1}{x^3}+3(x+\frac{1}{x})=3\sqrt3$
Substitute the value of

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