All Questions

Staff Selection Commission Combined Higher Secondary Level Exam

Follow
Showing 8941 - 8950 out of 10143 Questions
14 Views

Question : $\frac{2\sin68°}{\cos22°}-\frac{2\cot15°}{5\tan75°} -\frac{3\tan45°\cdot\ \tan20°\cdot\ \tan40°\cdot\ \tan50°\cdot\ \tan70°}{5}$ is equal to:

Option 1:  –1

Option 2: 0

Option 3: 1

Option 4: 2

Team Careers360 24th Jan, 2024

Correct Answer: 1


Solution : $\frac{2\sin68°}{\cos22°}-\frac{2\cot15°}{5\tan75°} - \: \frac{3\tan45°.\tan20°.\tan40°.\tan50°.\tan70°}{5}$
= $\frac{2\sin68°}{\cos(90°-68°)}-\frac{2\cot(90°-75°)}{5\tan75°} - \frac{3\cdot 1\cdot\tan20°\cdot\tan40°\cdot\tan(90°-40°)\cdot\tan(90°-20°)}{5}$
= $\frac{2\sin68°}{\sin68°}-\frac{2\tan75°}{5\tan75°} -\frac{3\cdot 1\cdot\tan20°\cdot\tan40°\cdot\cot40°\cdot\cot20°}{5}$
= $2×1 - \frac{2}{5}× 1 - \frac{3}{5}$
= $2-\frac{2}{5}-\frac{3}{5}$
= $\frac{10-2-3}{5}$
= $1$
Hence, the correct answer is 1.

9 Views

Question : Directions: In the following question, which one number is wrong in the series?

A B C D E
225 256 121 289 324

Option 1: 225

Option 2: 256

Option 3: 121

Option 4: 324

Team Careers360 14th Jan, 2024

Correct Answer: 121


Solution : Given:

A B C D E
225 256 121 289 324
152 162 112 172 182

In the given series, all the numbers are perfect squares and are listed in ascending order, except for 121.

So, 121 is the wrong

71 Views

Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will make the series logically complete.
_XYZU_UUSR_PQOM_

Option 1: UVSY

Option 2: WABC

Option 3: WOVK

Option 4: WUQK

Team Careers360 11th Jan, 2024

Correct Answer: WUQK


Solution : Given:
_XYZU_UUSR_PQOM_

To fill the series we have to divide the series – _XYZ \ U_UU \ SR_P \ QOM_
Let's check each option –
First option: UVSY; UXYZ \ UVUU \ SRSP \ QOMY (No repeated pattern has

22 Views

Question : The length, breadth, and height of a room are 7 m, 5 m, and 3 m, respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of INR 16 per m2.

Option 1: INR 1,712

Option 2: INR 1,742

Option 3: INR 1,698

Option 4: INR 1,684

Team Careers360 4th Jan, 2024

Correct Answer: INR 1,712


Solution : Length = 7 m, Breadth = 5 m, Height = 3 m
Area of four walls = $\text{2(length +breadth) × height}$
= 2(7 + 5) × 3
= 2 × 12 × 3
= 72 m$^2$
Area of ceiling = $\text{length × breadth}$ =

6 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 21st Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the

14 Views

Question : 1917 is known for 

Option 1: Battle of Trafalgar

Option 2: Battle of Waterloo

Option 3: End of the World War I

Option 4: The Russian Revolution

Team Careers360 4th Jan, 2024

Correct Answer: The Russian Revolution


Solution : The correct option is the Russian Revolution.

Beginning in 1917, there were significant political and social changes within the Russian Empire. At this time, after two successive revolutions and a bloody civil war, Russia abolished its monarchy and transitioned to a socialist

20 Views

Question : Which of the following states is known as the traditional region for Tank Irrigation?

Option 1: Assam

Option 2: Gujarat

Option 3: Tamil Nadu

Option 4: Odisha

Team Careers360 23rd Jan, 2024

Correct Answer: Tamil Nadu


Solution : The correct option is Tamil Nadu.

In the country's rocky plateau regions, particularly in the plateau region of Southern India, tank irrigation is more prevalent. Andhra Pradesh and Tamil Nadu are the principal states where they are practised. The state with the most irrigation

The question have been saved in answer later, you can access it from your profile anytime. Access now