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19 Views

Question : $G$ is the centroid of the equilateral triangle $ABC$. If $AB$ is $9\text{ cm}$, then $AG$ is equal to:

Option 1: $3 \sqrt 3\text{ cm}$

Option 2: $3\text{ cm}$

Option 3: $\frac{3 \sqrt 3}{2}\text{ cm}$

Option 4: $6 \text{ cm}$

Team Careers360 10th Jan, 2024

Correct Answer: $3 \sqrt 3\text{ cm}$


Solution :
The side of an equilateral triangle ($a$) $=9\text{ cm}$
Median $AD$ of equilateral triangle $=\frac{\sqrt{3}}{2}a$
⇒ ${AD} = \frac{\sqrt{3}}{2}\times 9$
Also, a centroid divides the median in the ratio of $2:1$.
So, $ AG : GD = 2 : 1$
⇒ $\frac{AG}{AD}=\frac{2}{3}$

8 Views

Question : Shri Pramod Sawant took the oath as the Chief Minister of which state in March 2022?

Option 1: Goa

Option 2: Maharashtra

Option 3: Gujarat

Option 4: Karnataka

Team Careers360 23rd Jan, 2024

Correct Answer: Goa


Solution : The correct answer is Goa.

Pramod Pandurang Sawant, born on 24 April 1973, is an Indian politician and a practitioner of Ayurvedic medicine. He has been serving as the Chief Minister of Goa since 2019, making him the 11th person to hold this position. As

20 Views

Question : Trees are leafless for a shorter or longer season of the year in :

Option 1: Evergreen forest

Option 2: Mangrove forest

Option 3: Scrub jungle forest

Option 4: Deciduous forest

Team Careers360 13th Jan, 2024

Correct Answer: Deciduous forest


Solution : The correct option is Deciduous Forests.

In temperate deciduous forest, trees are leafless for a longer period of the year to survive the winter months, deciduous trees in temperate forests shed their leaves. The leaves have a large surface area for transpiration, which is

16 Views

Question : If $A$ is an acute angle and $8\sec A=17$, find the value of $\tan A$.

Option 1: $\frac{15}{17}$

Option 2: $\frac{15}{8}$

Option 3: $\frac{8}{15}$

Option 4: $\frac{8}{17}$

Team Careers360 18th Jan, 2024

Correct Answer: $\frac{15}{8}$


Solution : Given, $8\sec A=17$
⇒ $\sec A=\frac{17}{8}$
We know, $\tan^2 A=\sec^2 A-1$
⇒ $\tan^2 A=(\frac{17}{8})^2-1$
⇒ $\tan^2 A=\frac{225}{64}$
⇒ $\tan A=\frac{15}{8}$
Hence, the correct answer is $\frac{15}{8}$.

10 Views

Question : Which of the following animals have a single opening in their digestive system that serves both as a mouth and an anus?

Option 1: Arachnids

Option 2: Echinoderms

Option 3: Platyhelminthes

Option 4: Arthropods

Team Careers360 15th Jan, 2024

Correct Answer: Platyhelminthes


Solution : The correct option is Platyhelminthes.

Platyhelminthes, or flatworms, are a phylum of soft-bodied invertebrates. They include both free-living and parasitic species. Flatworms are characterised by a flattened, ribbon-like body and bilateral symmetry. They lack a body cavity (coelom) and have a simple digestive system

4 Views

Question : A right circular cylindrical tunnel of diameter 5 cm and length 10 cm is to be constructed from a sheet of iron. The area of the iron sheet required will be:

Option 1: $52\pi \ \text{cm}^2$

Option 2: $50\pi \ \text{cm}^2$

Option 3: $51\pi \ \text{cm}^2$

Option 4: $49\pi \ \text{cm}^2$

Team Careers360 18th Jan, 2024

Correct Answer: $50\pi \ \text{cm}^2$


Solution : Given: diameter = 5 cm and height = 10 cm
$r = \frac{\text{diameter}}{2} = \frac{5}{2} = 2.5 \, \text{cm}$
The lateral surface area of a cylinder \(= 2\pi rh\)
The lateral surface area of a cylinder $ = 2\pi \times 2.5 \times 10

104 Views

Question : Directions: In a certain code language, SHIRTS is written as LKVVWU, and KURTAS is written as UXNVDW. How will FABRIC be written in that language?

Option 1: EELBLU

Option 2: EDIFLU

Option 3: DEIGLV

Option 4: EDIGLU

Team Careers360 9th Jan, 2024

Correct Answer: EDIFLU


Solution : Given:
SHIRTS is written as LKVVWU, and KURTAS is written as UXNVDW.

Here, after adding 3 to the place value of the letters of the given words, the letters are being shuffled following a certain pattern –
SHIRTS is written as LKVVWU→

KURTAS is written

17 Views

Question : Which of the following statements is/are not correct?

I. Force per unit volume is called pressure.
II. Liquids can exert pressure on the walls of containers.
III. Force acting on an object can cause a change in its state of motion but not its shape.

Option 1: Only I and II

Option 2: Only III

Option 3: I, II and III

Option 4: Only I and III

Team Careers360 19th Jan, 2024

Correct Answer: Only I and III


Solution : The correct answer is Only I and III.

Pressure is defined as the force exerted on the surface of objects per unit area. The first statement given in the question is incorrect.

Liquids can exert pressure on the walls of the containers.

17 Views

Question : Directions: Tina drives 45 km towards the east, turns right and drives 65 km, then turns left and drives 33 km. In which direction is she facing now?

Option 1: East

Option 2: North

Option 3: West

Option 4: South

Team Careers360 21st Jan, 2024

Correct Answer: East


Solution : First, we will draw the diagram as per the given instructions – 
 

So, Tina is facing in the East direction. Hence, the first option is correct.

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