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34 Views

Question : The average score in an English exam of a class of 45 students in a coaching centre is 52. A group of 6 boys having an average score of 40 leave the class and another group of eight boys having an average score of 43 join the class. What is the new average score of the class?

Option 1: 48

Option 2: 53

Option 3: 49.5

Option 4: 52

Team Careers360 27th Jan, 2024

Correct Answer: 52


Solution : We know, Average = $\frac{\text{Sum of all the scores of the students}}{\text{No. of students}}$
The sum of the scores of all 45 students = Average × No. of students = 52 × 45 = 2340
Now, A group of 6 boys leaving the class, the

21 Views

Question : Mahavir Jayanti is an important festival of the _________.

Option 1: Jains

Option 2: Sikhs

Option 3: Buddhists

Option 4: Parsis

Team Careers360 27th Jan, 2024

Correct Answer: Jains


Solution : The correct answer is Jains.

Mahavir Jayanti is an important festival for the Jain community. It commemorates the birth of Lord Mahavir, the 24th Tirthankara and a key figure in Jainism, believed to have been born in the 6th century BCE. The day is

16 Views

Question : In $\triangle ABC$, right angled at B, if $\tan A=\frac{1}{2}$, then the value of $\frac{\sin A(\cos C+\cos A)}{\cos C(\sin C-\sin A)}$ is:

Option 1: $2$

Option 2: $1$

Option 3: $3$

Option 4: $2\sqrt5$

Team Careers360 26th Jan, 2024

Correct Answer: $3$


Solution :
$\tan A=\frac{1}{2}$
$⇒\frac{BC}{AB}=\frac{1}{2}$
Let $BC=x$ units, then $AB=2x$ units
Using Pythagoras theorem,
$⇒AC^2=AB^2+BC^2$
$⇒AC^2=x^2+(2x)^2$
$⇒AC^2=5x^2$
$⇒AC =x\sqrt5 $ units
Now, we have $\triangle ABC$ right-angled at B, with $\tan A=\frac{1}{2}$, and we've found that $BC=x$, $AB=2x$, and $AC=x\sqrt{5}$.
$⇒\sin A = \frac{BC}{AC} = \frac{x}{x\sqrt{5}} =

108 Views

Question : What is the difference between a single discount of 35% on INR 700 and two successive discounts of 18% and 12% on the same amount (correct to two places of decimals)?

Option 1: INR 51.20

Option 2: INR 50.12

Option 3: INR 52.10

Option 4: INR 49.80

Team Careers360 26th Jan, 2024

Correct Answer: INR 50.12


Solution : First discount = 35% of 700
Successive discounts = 18% and 12%
Effective discount = $18+12-\frac{18×12}{100}= 30-2.16 = 27.84$%
Second discount = 27.84% of 700
Required difference = (35 – 27.84)% of 700
= 7.16% of 700
= 0.0716 × 700
= 50.12
Hence,

16 Views

Question : Directions: In the following question, select the related word from the given alternatives.
Intelligent : Dumb :: Inflate : ?

Option 1: Raise

Option 2: Deflate

Option 3: Degrade

Option 4: Aerated

Team Careers360 27th Jan, 2024

Correct Answer: Deflate


Solution : Given:
Intelligent : Dumb :: Inflate : ?

Intelligent and dumb are antonyms.
Similarly, inflate and deflate are antonyms.

Hence, the second option is correct.

14 Views

Question : Directions: Study the following bar graph carefully and answer the question.

Total enrolments in both State University and Central University during the years 1980, 1990, and 2000 are:

Option 1: 80,000

Option 2: 66,000

Option 3: 70,000

Option 4: 76,000

Team Careers360 27th Jan, 2024

Correct Answer: 70,000


Solution : As per the given graph:
The number of students enrolled at State and Central Universities in 1980 = 8000 + 10000 = 18000
The number of students enrolled at State and Central Universities in 1990 = 14000 + 12000 = 26000
The number of students

14 Views

Question : The wind vane instrument measures the _______.

Option 1: relative humidity

Option 2: temperature

Option 3: wind velocity

Option 4: wind direction

Team Careers360 26th Jan, 2024

Correct Answer: wind direction


Solution : The correct answer is wind direction.

The wind vane instrument measures the direction of the wind. It is a simple and common meteorological tool used to determine the wind's compass direction. The instrument typically consists of a vane or arrow that aligns itself

64 Views

Question : The President of which of the following countries was invited as the Chief Guest for the Republic Day parade on 26 January 2020?

Option 1: New Zealand

Option 2: Australia

Option 3: Brazil

Option 4: Indonesia

Team Careers360 26th Jan, 2024

Correct Answer: Brazil


Solution : The correct option is Brazil.

The President of Brazil, Jair Bolsonaro, was invited as the Chief Guest for the Republic Day parade on January 26, 2020. His invitation reflected various geopolitical considerations and aimed to strengthen India's ties with Brazil in areas like trade,

27 Views

Question : In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of the chord PQ is:

Option 1: $2\sqrt{13}\;\mathrm{cm}$

Option 2: $5\sqrt{3}\;\mathrm{cm}$

Option 3: $4\sqrt{6}\;\mathrm{cm}$ 

Option 4: $6\sqrt{5}\;\mathrm{cm}$

Team Careers360 26th Jan, 2024

Correct Answer: $4\sqrt{6}\;\mathrm{cm}$ 


Solution :

We have, $\mathrm{AX:BX = 3:2}$ and the radius of the circle is $5\;\mathrm{cm}$.
$\mathrm{AX=\frac{3}{5} \times 10 = 6}\;\mathrm{cm}$ 
$\mathrm{BX=\frac{2}{5} \times 10 = 4}\;\mathrm{cm}$ 
We know the theorem states that the two chords of a circle intersect within the circle, the product of the segments of

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