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24 Views

Question : Who founded the Ramakrishna Mission in 1897?

Option 1: Ramakrishna Paramahansa

Option 2: Swami Vivekananda

Option 3: Keshub Chandra Sen

Option 4: Debendranath Tagore

Team Careers360 24th Jan, 2024

Correct Answer: Swami Vivekananda


Solution : The correct option is Swami Vivekananda.

The Ramakrishna Mission was founded by Swami Vivekananda, a disciple of the 19th-century Indian mystic and saint Sri Ramakrishna. The mission was established in 1897 to carry out philanthropic, educational and spiritual activities for the well-being of society.

16 Views

Question : In the given figure, the area of isosceles triangle $\mathrm{ABE}$ is $72\;\mathrm{cm^2}$ and $\mathrm{BE = AB}$ and $\mathrm{AB = 2 AD}$, $\mathrm{AE \parallel DC}$, then what is the area (in$\;\mathrm{cm^2}$) of the trapezium $\mathrm{ABCD}$?

Option 1: 108

Option 2: 124

Option 3: 136

Option 4: 144

Team Careers360 25th Jan, 2024

Correct Answer: 144


Solution : Given that the area of triangle $\mathrm{ABE}$ is $72\;\mathrm{cm^2}$.
The triangle is an isosceles.
$\mathrm{AB} = \mathrm{BE} = \sqrt{2 \times 72} = 12\;\mathrm{cm}$
$\mathrm{AB = 2 AD}$
⇒ $\mathrm{AD} = \frac{\mathrm{AB}}{2} = 6\;\mathrm{cm}$
Since $\mathrm{AE} \parallel \mathrm{DC}$
$\mathrm{CE} = \mathrm{AD} = 6\;\mathrm{cm}$, and $\mathrm{BC} =

13 Views

Question : The length of the shadow of a vertical tower on level ground increases by 10 m when the altitude of the sun changes from 45° to 30°. The height of the tower is:

Option 1: $10 \sqrt{3}$ m

Option 2: $5 \sqrt{3}$ m

Option 3: $5(\sqrt{3}+1)$ m

Option 4: $10(\sqrt{3}+1)$ m

Team Careers360 24th Jan, 2024

Correct Answer: $5(\sqrt{3}+1)$ m


Solution :
Let the height of the tower be $h$ meters.
And $p$ is the shadow of the tower
In $\triangle ABC$,
⇒ $\tan45^\circ = \frac{h}{p}$
⇒ $p = h$....................................(equation i)
In $\triangle ABD$
⇒ $\tan30^\circ = \frac{h}{10+p}$
Putting the value $p$ from equation (i), we

12 Views

Question : The Fundamental Duties were added to the Constitution of India by the ____________ Amendment.

Option 1: 73rd

Option 2: 42nd

Option 3: 34th

Option 4: 44th

Team Careers360 24th Jan, 2024

Correct Answer: 42nd


Solution : The correct answer is 42nd.

The Fundamental Duties were added to the Constitution of India by the 42nd Amendment Act of 1976. This amendment, which came into effect on November 3, 1976, incorporated a list of ten fundamental duties that citizens of India are expected

22 Views

Question : The height of a cylinder is $\frac{2}{3}$rd of its diameter. Its volume is equal to the volume of a sphere whose radius is 4 cm. What is the curved surface area (in cm2) of the cylinder?

Option 1: $\frac{112}{3} \pi$

Option 2: $32 \pi$

Option 3: $\frac{128}{3} \pi$

Option 4: $40 \pi$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{128}{3} \pi$


Solution : Given,
The height of a cylinder is $\frac23$rd of its diameter.
Cylinder volume is equal to the volume of a sphere whose radius is 4 cm.
We know,
Volume of cylinder = $\pi r^2h$
Volume of sphere = $\frac43\pi R^3$
Curved surface area of

5 Views

Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed at the bottom of the figure (on line MN). So, the top of the reflected image will appear as the

38 Views

Question : Rajeev invested Rs. 3,000 for 2 years at compound interest (compounded annually) in a company that paid him interest of Rs.1,320. What will be the annual rate of interest at which Rajeev invested his money?

Option 1: 30 percent

Option 2: 24 percent

Option 3: 16 percent

Option 4: 20 percent

Team Careers360 24th Jan, 2024

Correct Answer: 20 percent


Solution : Given, Principal ($P$) = Rs. 3000
Compound Interest ($CI$) = Rs. 1320
Time (t) = 2 years
We know, $CI = P(1 + \frac{r}{100})^t - P$
⇒ $1320 = 3000(1+\frac{r}{100})^2 - 3000$
⇒ $1320+3000 = 3000(1+\frac{r}{100})^2$
⇒ $\frac{4320}{3000}=(1+\frac{r}{100})^2$
⇒ $\sqrt{1.44}=(1+\frac{r}{100})$
⇒ $1.2 = (1+\frac{r}{100})$

27 Views

Question : X and Y together can do a work in 10 days. Y and Z together can do the same work in 15 days. Z and X together can do the same work in 12 days. In how many days can Z alone do the same work?

Option 1: 80 days

Option 2: 60 days

Option 3: 40 days

Option 4: 50 days

Team Careers360 24th Jan, 2024

Correct Answer: 40 days


Solution : Given,
X and Y together can do a work in 10 days.
Y and Z together can do the same work in 15 days.
Z and X together can do the same work in 12 days.
Let the total work = LCM (10, 15,

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