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Question : If the numerical values of the height and the area of an equilateral triangle are the same, then the length of each side of the triangle is:

Option 1: 2 units

Option 2: 4 units

Option 3: 5 units

Option 4: 8 units

Team Careers360 24th Jan, 2024

Correct Answer: 2 units


Solution :
Let the side of an equilateral triangle be $a$ units.
Let its height be $h$.
Using Pythagoras theorem, we get,
$a^2 = h^2+(\frac{a}2)^2$
⇒ $h=\frac{\sqrt{3}}2a$
Area of equilateral triangle = $\frac{\sqrt{3}}{4}a^2$ sq. units
According to the question,
$\frac{\sqrt{3}}2a=\frac{\sqrt{3}}{4}a^2$
⇒ $a=2$ units
Hence, the correct

11 Views

Question :

Directions: In the following question, select the related word from the given alternatives.
Forecast : Future :: Regret : ?

Option 1: Present 

Option 2: Sins 

Option 3: Life 

Option 4: Past 

Team Careers360 24th Jan, 2024

Correct Answer: Past 


Solution : Given:
Forecast : Future :: Regret : ?

Forecast stands for the prediction of future.
Regret is a feeling about something bad or wrong which is already made in the past.

Hence, the fourth option is correct.

13 Views

Question : A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.

Option 1: 143 m

Option 2: 108 m

Option 3: 324 m

Option 4: 234 m

Team Careers360 25th Jan, 2024

Correct Answer: 108 m


Solution : Diameter of sphere = 18 cm
Radius of sphere, $R$ = 9 cm
Diameter of wire = 6 mm
The radius of wire, $r$ = 3 mm = 0.3 cm
Let $l$ be the length of the wire.
Volume of sphere = volume of

7 Views

Question : A sum of Rs. 11064 gives an interest of Rs. 2766 in $x$ years at 5% per annum simple interest. What will be the value of $x$?

Option 1: 3

Option 2: 2

Option 3: 4

Option 4: 5

Team Careers360 22nd Jan, 2024

Correct Answer: 5


Solution : Given: Principal = Rs. 11064
Simple interest = Rs. 2766
Time = $x$ years
Rate = 5%
We know that,
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ $2766=\frac{11064 × 5 × x}{100}$
⇒ $x=\frac{2766\times100}{11064 × 5}$
$\therefore x=5$ years
Hence, the correct answer

22 Views

Question : In a triangle ABC, $\angle A = 70^{\circ}, \angle B = 80^{\circ}$ and D is the incentre of $\triangle ABC. \angle ACB = 2 x^{\circ}$ and $\angle BDC = y^{\circ}$ The values of x and y, respectively, are:

Option 1: 15 and 130

Option 2: 15 and 125

Option 3: 35 and 40

Option 4: 30 and 150

Team Careers360 24th Jan, 2024

Correct Answer: 15 and 125


Solution :
Given: $\angle A=70^{\circ},\angle B=80^{\circ}$, $\angle ACB = 2x^{\circ},$ and $\angle BDC = y^{\circ}$
$\angle C = 180^{\circ}-70^{\circ}-80^{\circ}=30^{\circ}$
$\therefore \angle ACB = 2x^{\circ} = 30^{\circ}$
$⇒x=15^{\circ}$
Now, $\angle BDC=90^{\circ}+\frac{1}{2}\angle A^{\circ}$
⇒ $y=90^{\circ}+\frac{1}{2}\angle 70^{\circ}$
$\therefore y=125^{\circ}$
Hence, the correct answer is 15 and 125.

5 Views

Question : Directions: Select the option figure that is embedded in the given figure (rotation is NOT allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 23rd Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of all the option figures, only the third option figure is embedded in the given question figure.

Hence, the third option is correct.

16 Views

Question : Directions: In the following question, a series is given with one number missing. Select the missing number from the given alternatives.
3, 8, 5, 27, 8, 64, 12, 125, 17, ?

Option 1: 216

Option 2: 361

Option 3: 625

Option 4: 441

Team Careers360 25th Jan, 2024

Correct Answer: 216


Solution : Given:
3, 8, 5, 27, 8, 64, 12, 125, 17, ?

The series follows an alternative pattern, where every other number, starting from the first, is obtained by adding consecutive numbers in each previous term to get the next term. On the other hand, every

9 Views

Question : Directions: Select the option figure in which the given figure (X) is embedded as its part. (Rotation is not allowed.)

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : As there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures.
By comparison of all the option figures, the given question figure is embedded only in the second option figure.

37 Views

Question : Which among the following is not a component of Lion Capital at Sarnath, India?

Option 1: Carved cow representing the South direction

Option 2: Figures of 4 lions

Option 3: Dharma Chakras

Option 4: Lotus base bell

Team Careers360 24th Jan, 2024

Correct Answer: Carved cow representing the South direction


Solution : The correct answer is the Carved cow representing the South direction.

The component that is not part of the Lion Capital at Sarnath, India, is the "carved cow representing the south direction." The Lion Capital consists of four lions

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