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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%
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 = $\frac{800}{21}\approx$
Question : The ratio of the incomes of A and B in 2020 was 5 : 4. The ratios of their individual incomes in 2020 and 2021 were 4 : 5 and 2 : 3, respectively. If the total income of A and B in 2021 was INR 7,05,600, then what was the income (in INR) of B in 2021?
Option 1: 3,45,600
Option 2: 2,79,700
Option 3: 3,60,000
Option 4: 4,25,900
Correct Answer: 3,45,600
Solution : Given: The ratio of income of A and B in 2020 = 5 : 4 The ratio of individual income of A in 2020 and 2021 = 4 : 5 The ratio of individual income of B in 2020 and 2021 = 2 : 3
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
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.
Question : The given table shows the data regarding the number of medals won by four different countries in the Asian Games in the year 2016. The ratio of number of silver medals won by China to the number of gold medals won by India is:
Option 1: 2 : 1
Option 2: 3 : 2
Option 3: 4 : 9
Option 4: 5 : 9
Correct Answer: 2 : 1
Solution : Require ratio = $\frac{\text{Number of Silver Medal by China}}{\text{Number of Gold Medals by India}}$ = $\frac{\text{36}}{\text{18}}$ = $\frac{2}{1}$ = 2 : 1 Hence, the correct answer is 2 : 1.
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
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
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
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.
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
In the early 1920's, settlers came to Alaska looking for (1)_____. They travelled by boat to the coastal towns of Seward and Knik, and from there by land into the gold fields. The trail they used to (2)______ inland is known today as the Iditarod Trail, one of the National Historic Trails designated (3)_____ the Congress of the United States. The Iditarod Trail quickly became a major thoroughfare in Alaska, as the mail and supplies were (4)_____ across this trail. People also used it to get from place to place, including the priests, ministers, and judges who had to travel between villages. In the winter, the settlers' only means of travel down this trail was via dog (5)______. Question: Select the most appropriate option to fill in the blank No. 4.
Option 1: carried
Option 2: deported
Option 3: imported
Option 4: transported
Correct Answer: carried
Solution : The first option is the correct answer.
The passage indicates that the Iditarod Trail became a major thoroughfare in Alaska, and mail and supplies were transported across this trail. Among the given options, "carried" is the most suitable choice, as it conveys the idea that
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
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 =
Question : The master copy of genetic information is
Option 1: Nucleus
Option 2: rRNA
Option 3: mRNA
Option 4: DNA
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
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: $206$
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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