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Question : Directions: Which of the following interchanges of signs would make the given equation correct? 162 ÷ 3 + 5 × 6 – 2 = 274
Option 1: + and –
Option 2: ÷ and ×
Option 3: – and ÷
Option 4: + and ×
Correct Answer: + and ×
Solution : Given: 162 ÷ 3 + 5 × 6 – 2 = 274
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: + and – = 162 ÷ 3 – 5 × 6
Question : Gresham's law in economics relates to ___________.
Option 1: Supply and Demand
Option 2: Distribution of goods and services
Option 3: Consumption and Supply
Option 4: Circulation of currency
Correct Answer: Circulation of currency
Solution : The correct option is Circulation of currency
Gresham's law states that people will typically hoard or save the money that is viewed as being of higher quality (good money) and spend or circulate the value that is viewed as being of lower
Question : Who developed the innovations theory of profit?
Option 1: Francis Amasa Walker
Option 2: John Bates Clark
Option 3: Frank Hyneman Knight
Option 4: Joseph Alois Schumpeter
Correct Answer: Joseph Alois Schumpeter
Solution : The correct answer is Joseph Alois Schumpeter.
Austrian economist Joseph Alois Schumpeter established the profit innovation idea. He claimed that profits are earned by entrepreneurs who propose new goods, methods, or company models. These innovations interrupt established markets and open up new economic
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error".
Due to me being new (1) / to the city, I had (2) / difficulty in finding a job. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The gerund "being" requires a possessive pronoun before it. In this case, the possessive pronoun should be "my".
Therefore, the correct sentence is: "Due to my being new to the city, I had difficulty in
Question : A boat can travel 5 km upstream in 15 minutes. If the ratio of the speed of the boat in still water to the speed of the stream is 6 : 1, then how much time will the boat take to cover 19.6 km downstream?
Option 1: 54 minutes
Option 2: 26 minutes
Option 3: 42 minutes
Option 4: 31 minutes
Correct Answer: 42 minutes
Solution : Let's the speed of the boat in still water as $B$ and the speed of the stream as $S$ So, B : S = 6 : 1 Upstream speed = B - S Downstream, speed = B + S The boat can travel 5
Question : The average mark of a class of 35 children is 35. The marks of one of the students, who got 35, were incorrectly entered as 65. What is the correct average of the class?
Option 1: 33.76
Option 2: 34.14
Option 3: 35.24
Option 4: 36.50
Correct Answer: 34.14
Solution : Given: The average mark of a class of 35 children is 35. The marks of one of the students, who got 35, were incorrectly entered as 65. The sum of their marks = (35 × 35) = 1225 After correcting the mistake, the new sum
Question : What is the ratio of inradius and circumradius of an equilateral triangle?
Option 1: 1 : 2
Option 2: 1 : 3
Option 3: 1 : 4
Option 4: 3 : 2
Correct Answer: 1 : 2
Solution : Let $a$ be the side of the equilateral triangle. Circumradius = $\frac{abc}{4 \times \text{Area of triangle}}$, where $a,b,c$ are sides In Case of equilateral triangle, abc = a3 and area of triangle = $\frac{\sqrt{3}a^{2}}{4}$ $\therefore$ Circumradius = $\frac{a^{3}}{4 \times \frac{\sqrt3a^{2}}{4}}=\frac{a}{\sqrt{3}}$ Inradius =
Question : Directions: The age of Dr. Pandey is four times the age of his son. After 10 years, the age of Dr. Pandey will be twice the age of his son. What is the present age of Dr. Pandey's son?
Option 1: 4 years
Option 2: 5 years
Option 3: 6 years
Option 4: 8 years
Correct Answer: 5 years
Solution : Let Dr. Pandey's present age be A, and Dr. Pandey's son's present age be B.
As per the given information, Dr. Pandey's age is four times the age of his son ⇒ A = 4 × B = 4B
After 10 years, Dr. Pandey's
Question : If the area of a square is 529 cm2, then what is the length of its diagonal?
Option 1: $23\mathrm{~cm}$
Option 2: $26 \sqrt{3} \mathrm{~cm}$
Option 3: $23 \sqrt{2 } \mathrm{~cm}$
Option 4: $46 \mathrm{~cm}$
Correct Answer: $23 \sqrt{2 } \mathrm{~cm}$
Solution : Let the side of the square be $a$. The area of a square = 529 cm2 ⇒ $a^2=529$ $\therefore a =23\ \text{cm}$ Diagonal of a square $= \sqrt2×\text{Side}=23\sqrt{2}\ \text{cm}$ Hence, the correct answer is $23\sqrt{2}\ \text{cm}$.
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right mirror image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. According to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as the
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