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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: Some shows are good. Some movies are good. Conclusions: I. Some goods are movies. II. Some good are shows.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Both conclusions I and II follow
Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some goods are movies – From the Venn diagram, it is evident that the circles representing goods and movies overlap
Question : A direct common tangent is drawn to two circles of radius 25 cm and 20 cm. The centres of the two circles are 35 cm apart. What is the length (in cm) of the tangent?
Option 1: $25 \sqrt{2}$
Option 2: $25 \sqrt{3}$
Option 3: $20 \sqrt{3}$
Option 4: $20 \sqrt{2}$
Correct Answer: $20 \sqrt{3}$
Solution : The length of the direct common tangent ($D$) between two circles, where \(d\) is the distance between the centres of the two circles and \(r_1\) and \(r_2\) are the radii of the two circles. $D=\sqrt{d^2 - (r_1 - r_2)^2}$ Given that \(d \) =
Question : Directions: Arrange the given words in the sequence in which they occur in the dictionary. 1. Lively 2. Longer 3. Lasted 4. Lamp 5. Lost
Option 1: 4, 3, 1, 2, 5
Option 2: 4, 1, 3, 2, 5
Option 3: 4, 3, 1, 5, 2
Option 4: 4, 1, 3, 5, 2
Correct Answer: 4, 3, 1, 2, 5
Solution : Given: 1. Lively 2. Longer 3. Lasted 4. Lamp 5. Lost
Step 1: Compare the first letter of each word. Since all the words start with the same letter L, move to the next letter. Step 2: The letters on the
Question : Which of the following is not a reason for excessive cold in North India?
Option 1: Distance from sea
Option 2: Cold winds from the Caspian Sea
Option 3: Snowfall in the Himalayas
Option 4: Equatorial current
Correct Answer: Equatorial current
Solution : The correct answer is Equatorial current.
There are a few reasons for the excessive cold during the winter season in North India, which are: North India is away from the influence of the sea. The cold beans, which are coming from the Caspian Sea,
Question : Which state is rich in jute?
Option 1: West Bengal
Option 2: Tamil Nadu
Option 3: Kerala
Option 4: Odisha
Correct Answer: West Bengal
Solution : The correct answer is West Bengal.
Jute is a tropical fibrous cash crop grown in clayey and loamy alluvial soil that has good water retention capacity. It grows well in humid conditions and requires a temperature between 24 and 37 degrees Celsius. The Sundarban
Question : The diameter of a sphere is twice the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is:
Option 1: 3
Option 2: 24
Option 3: 8
Option 4: 16
Correct Answer: 24
Solution : Let the radius of the first sphere be $r$ and the radius of the second sphere be $R$. According to the question, $2r=2R×2$ ⇒ $R=\frac{r}{2}$ The curved surface area of the first sphere = $4\pi r^2$ The volume of the second sphere = $\frac{4}{3}\pi R^3$
Question : Select the most appropriate synonym of the given word. Delegate
Option 1: Representative
Option 2: Serviceman
Option 3: Elect
Option 4: Exemplar
Correct Answer: Representative
Solution : The correct choice is the first option.
A delegate refers to a person chosen or elected to represent others or act on their behalf. The word representative describes a person or thing that represents another or others, often in an official capacity. It aligns
Question : The Battle of Khatoli was fought in 1517 between the kingdom of Mewar under Rana Sanga and ______.
Option 1: Sikandar Lodi
Option 2: Babur
Option 3: Ibrahim Lodi
Option 4: Mahmud Lodi
Correct Answer: Ibrahim Lodi
Solution : The correct answer is Ibrahim Lodi.
The Kingdom of Mewar under Rana Sanga defeated the Lodi dynasty under Ibrahim Lodi in the Battle of Khatoli in 1517. Ibrahim Lodi was the last ruler of the Lodi dynasty and the last sultan of the Delhi
Question : Directions: Arrange the following words as per their order in the dictionary. 1. Forest 2. Fascinating 3. Fantastic 4. Fabulous
Option 1: 2, 4, 3, 1
Option 2: 4, 2, 3, 1
Option 3: 4, 3, 2, 1
Option 4: 2, 3, 4, 1
Correct Answer: 4, 3, 2, 1
Solution : Given: 1. Forest 2. Fascinating 3. Fantastic 4. Fabulous
Step 1: Since all the words start with the same letter F, so move on to the next letter. Step 2: The second letter of each word is either o or a
Question : Directions: Select the correct combination of the mathematical signs to replace star symbols (*) in the below equation and therefore balance it. 36 * 14 * 17 * 396 * 18 * 252
Option 1: +, –, ×, ÷, =
Option 2: +, ×, –, =, ÷
Option 3: +, ×, –, ÷, =
Option 4: ×, +, –, ÷, =
Correct Answer: +, ×, –, ÷, =
Solution : Given: 36 * 14 * 17 * 396 * 18 * 252
Let's check each option – First Option: +, –, ×, ÷, = 36 + 14 – 17 × 396 ÷ 18 = 252 L.H.S. = 36 + 14 –
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