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Question : Directions: Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: No pin is a tin. Some pins are wins. Conclusions: I. All wins are tins. II. Some wins are pins.
Option 1: Only conclusion I follows
Option 2: Both conclusions I and II follow
Option 3: Only conclusion II follows
Option 4: Neither conclusion I nor II follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All wins are tins – From the Venn diagram, it is evident that there is no direct relation between wins and tins.
Question : Inert gases are
Option 1: miscible with water
Option 2: not stable
Option 3: chemically unreactive
Option 4: chemically very reactive
Correct Answer: chemically unreactive
Solution : The correct option is chemically unreactive.
Inert gases, known as noble gases, exhibit chemical inertness due to their stable electron configurations. Their electron shells are filled, making it highly improbable for these gases to engage in chemical reactions with other elements.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. In about two months, / our family will be / leaving to Australia / to settle there.
Option 1: in about two months
Option 2: to settle there
Option 3: our family will be
Option 4: leaving to Australia
Correct Answer: leaving to Australia
Solution : The error lies in the fourth option.
The correct preposition to use after the verb "leaving" in this context is "for" instead of "to". When it's used to indicate going to a destination, the preposition "for" is typically used. The sentence conveys that
Question : Simple interest received by a person in 10 years on a principal of Rs. 9500 is 130% of the principal. What is the rate of interest (in percent) per annum?
Option 1: 12
Option 2: 13
Option 3: 15
Option 4: 19
Correct Answer: 13
Solution : Given: Principal = Rs. 9500 Time = 10 years Formula Used: SI=$\frac{\text{PRT}}{100}$ Calculation: Let the rate of Interest be R. SI = $\frac{9500 \times 10 \times R}{100}$ Now we know the interest received is 130% of 9500 = $\frac{130 \times 9500}{100}$ $\therefore \frac{9500 \times 10
Question : In the given figure, ABCD is a square. EFGH is a square formed by joining mid-points of sides of ABCD. LMNO is a square formed by joining mid-points of sides of EFGH. A circle is inscribed inside LMNO. If the area of a circle is 38.5 cm2 then what is the area (in cm2) of square ABCD?
Option 1: 98
Option 2: 196
Option 3: 122.5
Option 4: 171.5
Correct Answer: 196
Solution : The area of a circle, $ \text{Area} = \pi r^2$ where $r$ is the radius of the circle. Given that the area of the circle is 38.5 cm2. $⇒ r = \sqrt{\frac{\text{Area}}{\pi}} = \sqrt{\frac{38.5}{\pi}} = 3.5$ cm The side length of square LMNO
Question : The lengths of the two sides of a triangle are 14 cm and 9 cm. Which of the options below can be the length of the third side?
Option 1: 17 cm
Option 2: 23 cm
Option 3: 24 cm
Option 4: 5 cm
Correct Answer: 17 cm
Solution : We know that the sum of the length of either two sides of a triangle must be more than the third side. So, the third side < (14 + 9) Or, the third side < 23 Also, the difference in lengths of any two
Question : Directions: Three statements are given followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which conclusions logically follow(s) from the statements. Statements: Some dates are weeks. Some weeks are months. All months are years. Conclusions: I. No date is a month. II. Some weeks are years. III. All years can never be dates.
Option 1: Only conclusion III follows
Option 2: Only conclusions I and II follow
Option 4: Only conclusions II and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusions (I): No date is a month – From the Venn diagram, it is evident that there is no direct relation between date and
Question : Directions: Among five persons P, Q, R, S and T, T is older than P, Q is younger than T, S is older than R, and P is older than S but younger than Q. Who is the oldest among all?
Option 1: P
Option 2: T
Option 3: S
Option 4: Q
Correct Answer: T
Solution : Given: (I) T is older than P, Q is younger than T. T > P/Q (II) S is older than R, and P is older than S but younger than Q. T > Q > P > S > R
So, T is the oldest
Question : The amount (in Rs.) received at 10% per annum compound interest after 3 years is Rs. 1,19,790. What was the principal?
Option 1: 90,000
Option 2: 1,00,000
Option 3: 80,000
Option 4: 75,000
Correct Answer: 90,000
Solution : We have, A = Rs. 119790, r = 10%, and t = 3 years. $A = P \left(1 + \frac{r}{100}\right)^{t}$ Substituting the given values into the formula, we get $⇒119790 = P \left(1+\frac{10}{100}\right)^{1×3}$ $⇒119790 = P \left(1+0.1\right)^{3}$ $⇒119790 = P \left(1.1\right)^{3}$ $⇒P=\frac{119790}{1.331}=Rs. 90,000$ Hence, the
Question : Directions: If 31 January 2022 was a Monday, what was the day on the same date 100 years ago?
Option 1: Wednesday
Option 2: Sunday
Option 3: Tuesday
Option 4: Monday
Correct Answer: Tuesday
Solution : Given: 31 January 2022 is a Monday.
The number of odd days in a leap year = 2 The number of odd days in a non-leap year = 1
Number of leap years between 2022 and 1922→25 Number of non-leap years between 2022 and 1922→75
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