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Question : Directions: In the following question, the given sentence has four parts marked P, Q, R, and S. Choose the part of the sentence with the error and select it as your answer. If there is no error, select "No Error (S)" as your answer.
(P) The old man (Q) told his sons (R) that there was no such thing like luck. (S) No Error
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The error is in part (R) marked by the third option.
Explanation:
In this sentence, "such as" is used instead of "like" to convey the idea that luck is an example or type of thing, rather than a similarity. Such as is used for giving
Question : The climatic zones are classified on the basis of
Option 1: distance from equator
Option 2: elevation
Option 3: rainfall
Option 4: distance from the sea
Correct Answer: rainfall
Solution : The correct option is - rainfall
The maximum and minimum temperatures, temperature range, total and seasonal distribution of precipitation, and other factors are used to classify the climatic zones. The most well-known classification scheme was initially created by Wladimir Koppen based on these parameters.
Question : If, $\frac{r}{13}+\frac{13}{r}=1$, then the value of $r^3$ is:
Option 1: –2157
Option 2: 2197
Option 3: 2157
Option 4: –2197
Correct Answer: –2197
Solution : $\frac{r}{13}+\frac{13}{r}=1$ We know that if $x+\frac{1}{x} = 1$, then $x^3 = -1$ Let $\frac{r}{13} = x$ The equation becomes, $x+\frac{1}{x} = 1$ ⇒ $x^2-x+1=0$ $x^3+1^3=(x+1) (x^2-x+1)$ ⇒ $x^3+1^3 =0$ ⇒ $x^3 = -1$ ⇒ $(\frac{r}{13})^3 = -1$ ⇒ $r^3 = -2197$ Hence, the correct answer
Question : If $x+y=2z$, then the value of $\frac{x}{x-z}+\frac{z}{y-z}$ is:
Option 1: $1$
Option 2: $3$
Option 3: $\frac{1}{2}$
Option 4: $2$
Correct Answer: $1$
Solution : Given: $x+y = 2z$ Now, $\frac{x}{x-z}+\frac{z}{y-z}$ $= \frac{x(y-z)+z(x-z)}{(x-z)(y-z)}$ $= \frac{xy−xz+zx−z^2}{xy−xz−zy+z^2}$ $= \frac{xy−z^2}{xy−z(x+y)+z^2}$ $= \frac{xy−z^2}{xy−z(2z)+z^2}$ $= \frac{xy−z^2}{xy−z^2}$ $= 1$ Hence, the correct answer is $1$.
Question : P, Q, and R are partners and invest in a business. P invests $\frac{1}{5}^{th}$ of total investments and Q invests $\frac{1}{4}^{th}$ of the total investments. What is the ratio of investments of P, Q, and R respectively?
Option 1: 4 : 8 : 11
Option 2: 4 : 5 : 11
Option 3: 4 : 7 : 11
Option 4: 4 : 5 : 9
Correct Answer: 4 : 5 : 11
Solution : P invests $\frac{1}{5}$th of the total investment. Q invests $\frac{1}{4}$th of the total investment. Taking, LCM (4, 5) = 20 Let the total investment be Rs. 20 P invests $\frac{1}{5}$th of the total investment = $\frac{1}{5}\times 20$ = Rs. 4 Q
Question : Which of the following elements has an atomic number greater than that of fluorine?
Option 1: Sodium
Option 2: Beryllium
Option 3: Nitrogen
Option 4: Boron
Correct Answer: Sodium
Solution : The correct option is Sodium
Sodium is an element with a higher atomic number than fluorine. Sodium has an atomic number of 11 and Fluorine's atomic number is 9.
Question : The LCM of 96, 132, and 438 is:
Option 1: 86084
Option 2: 67055
Option 3: 85046
Option 4: 77088
Correct Answer: 77088
Solution : The prime factorization of the given numbers is: $96 = 2^5 \times 3 $ $132 = 2^2 \times 3^1 \times 11^1 \\$ $438 = 2^1 \times 3^1 \times 73^1$ Now, identify the highest powers of each prime factor: It is $2^5$,$3^1$,$11^1$, and $73^1$ Multiply these
Question : The enormous amount of energy released in the explosion of an atomic bomb is due to the
Option 1: Conversion of mass into energy
Option 2: Conversion of chemical energy into heat energy
Option 3: Conversion of mechanical energy into nuclear energy
Option 4: Conversion of neutrons into protons
Correct Answer: Conversion of neutrons into protons
Solution : The correct answer is the Conversion of neutrons into protons.
The release of an enormous amount of energy in an atomic bomb explosion is caused by the conversion of neutrons into protons. When a neutron collides with the nucleus of
Question : Muddy water is treated with alum in purification process, it is same as
Option 1: Emulsification
Option 2: Absorbtion
Option 3: Adsorbtion
Option 4: Coagulation
Correct Answer: Coagulation
Solution : The correct answer is coagulation.
When the suspended particles in any liquid solution form a precipitate and settle down, then this process is known as coagulation. The most common example of it is coagulation of blood which forms a blood clot and stops bleeding. Similarly
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 45 : 15 :: 20 : 10 :: 125 : ?
Option 1: 20
Option 2: 25
Option 3: 28
Option 4: 24
Correct Answer: 25
Solution : Given: 45 : 15 :: 20 : 10 :: 125 : ?
Like, 45 : 15→(45 × 5) = 225; √225 = 15 20 : 10→(20 × 5) = 100; √100 = 10 Similarly, follow the same pattern for 125 : ?→(125 × 5) =
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