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Question : Directions: In the question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.

All teachers agree that Paresh is the __________ intelligent boy in his class.

Option 1: more

Option 2: most

Option 3: very

Option 4: only

Team Careers360 24th Jan, 2024

Correct Answer: most


Solution : The correct choice is the second option.

Explanation: 

Most intelligent is the superlative form, indicating that Paresh is the most intelligent boy in his class, and it doesn't require a comparison with other students.

Therefore, the complete sentence is: All teachers agree that Paresh

15 Views

Question : If $k^4+\frac{1}{k^4}=47$, then what is the value of $k^3+\frac{1}{k^3}$?

Option 1: 4.5

Option 2: 54

Option 3: 18

Option 4: 9

Team Careers360 25th Jan, 2024

Correct Answer: 18


Solution : Given, $k^4+\frac{1}{k^4}=47$
Adding 2 on both sides,
⇒ $k^4+\frac{1}{k^4}+2=47+2$
⇒ $(k^2)^2+\frac{1}{(k^2)^2}+2\times k^2\times \frac{1}{k^2}=49$
⇒ $(k^2+\frac{1}{k^2})^2=49$
⇒ $k^2+\frac{1}{k^2}=7$
Again adding 2 on both sides,
$k^2+\frac{1}{k^2}+2=7+2$
⇒ $(k+\frac{1}{k})^2=9$
⇒ $k+\frac{1}{k}=3$
cubing both sides, we get,
⇒ $k^3+\frac{1}{k^3}+3×k\times \frac{1}{k}(k+\frac{1}{k})=27$
⇒ $k^3+\frac{1}{k^3}+3×3=27$
$\therefore k^3+\frac{1}{k^3}=27-9=18$
Hence, the correct answer is

764 Views

Question : The average weight of 49 students is 53 kg. When a new student is admitted to the class, the average decreases by 500 g. Find the weight of the new student.

Option 1: 48 kg

Option 2: 18 kg

Option 3: 28 kg

Option 4: 38 kg

Team Careers360 24th Jan, 2024

Correct Answer: 28 kg


Solution : Given,
The average weight of 49 students is 53 kg.
We know that Total = Average × Number of observations
⇒ Total weight of 49 students = 53 × 49
= 2597
Now, when a new student is admitted to the class, the average

20 Views

Question : If areas of similar triangles $\triangle {ABC}$ and $\triangle {DEF}$ are $ {x}^2 \ \text{cm}^2$ and $ {y}^2 \ \text{cm}^2$, respectively, and EF = a cm, then BC (in cm) is:

Option 1: $\frac{y^2}{a^2 x^2}$

Option 2: $\frac{y}{a x}$

Option 3: $\frac{ax}{y}$

Option 4: $\frac{a^2 x^2}{y^2}$

Team Careers360 24th Jan, 2024

Correct Answer: $\frac{ax}{y}$


Solution :
Given: $\triangle{ABC}\sim\triangle{DEF}$
$\frac{\text{Area of}\triangle{ABC}}{\text{Area of}\triangle{DEF}}=\frac{{BC}^2}{{EF}^2}$
⇒ $\frac{ {x}^2 }{{y}^2 }=\frac{{BC}^2}{{a}^2}$
⇒ $\frac{ {x}}{ {y}}=\frac{{BC}}{{a}}$
$\therefore {BC} = \frac{{ax}}{{y}}$
Hence, the correct answer is $\frac{{ax}}{{y}}$.

86 Views

Question : The famous Irwin Declaration on 31 October 1929 promised:

Option 1: total integration of princely states with the rest of India

Option 2: universal adult franchise in India

Option 3: independence of princely states

Option 4: a dominion status for India

Team Careers360 24th Jan, 2024

Correct Answer: a dominion status for India


Solution : The correct answer is a dominion status for India.

Lord Irwin was the viceroy of India from 1926 to 1931. He declared on 31 October 1929 that the British wanted to grant dominion status to India. This famous declaration was also

10 Views

Question : Buddha attained enlightenment at _____.

Option 1: Varanasi

Option 2: Bodh Gaya

Option 3: Kushinagar

Option 4: Pataliputra

Team Careers360 25th Jan, 2024

Correct Answer: Bodh Gaya


Solution : The correct answer is Bodh Gaya.

Buddha attained enlightenment under the Bodhi tree in Bodh Gaya, India. The event is said to have occurred on the full moon of the month of Vaisakh (April or May in the Gregorian calendar), and the specific

10 Views

Question : Who played a key role in the formation of the Lokpal Bill in India?

Option 1: Bhupen Hazarika

Option 2: Anna Hazare

Option 3: Baba Amte

Option 4: Medha Patekar

Team Careers360 25th Jan, 2024

Correct Answer: Anna Hazare


Solution : The correct answer is Anna Hazare.

Anna Hazare is a renowned social activist, born in 1937. He has been instrumental in the passage of the Lokpal and Lokayukta Bills. He led a hunger strike movement in 2011 for an anti-corruption bill. In the aftermath

109 Views

Question : If a train 130 m long takes $6 \frac{1}{2}$ seconds to cross a man who is walking at 12 km/hr in the same direction in which the train going, then the speed of the train (in km/hr) is:

Option 1: 84

Option 2: 64

Option 3: 48

Option 4: 74

Team Careers360 25th Jan, 2024

Correct Answer: 84


Solution : Man's speed in m/s = $12\text{ km/hr} \times \frac{5}{18} = 12 \times \frac{5}{18}\ \mathrm{ m/s} = \frac{10}{3}\text{ m/s}$
We know that the train crosses a 130-meter-long man in $\frac{13}{2}$ seconds.
$\therefore$ Relative speed = $\frac{130\ \mathrm{m}}{\frac{13}{2}\mathrm{s}} = 20\text{ m/s}$
Relative speed = (Train's speed in

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