All Questions

Staff Selection Commission Combined Graduate Level Exam

Get Updates
Showing 1571 - 1580 out of 16708 Questions
146 Views

Question : A sum of money becomes INR 11,880 after 4 years and INR 17,820 after 6 years on compound interest, if the interest is compounded annually. What is the half of the sum (in INR)?

Option 1: 2,410

Option 2: 2,530

Option 3: 2,640

Option 4: 2,750

Team Careers360 25th Jan, 2024

Correct Answer: 2,640


Solution : Let the rate of interest per annum be $R$ and principal $P$
According to the question,
(Amount after 4 years): (Amount after 6 years) = 11880 : 17820 = 2 : 3
⇒ [$(1+\frac{R}{100})^{4}$]: [$(1+\frac{R}{100})^{6}$] = 2 : 3
⇒ $(1+\frac{R}{100})^{2}$ = $\frac{3}{2}$
Amount after

13 Views

Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.

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.
According to the information provided, the mirror is placed on the bottom side of the figure (on line MN). So, the bottom side of the reflected image will appear as

12 Views

Question : Study the given graph and answer the question that follows.

The ratio of the total production of cement by Company A in 2016 and Company C in 2018 to the total production of cement by Company B in 2017 and 2019 is:

Option 1: 9 : 8

Option 2: 7 : 6

Option 3: 8 : 7

Option 4: 10 : 9

Team Careers360 24th Jan, 2024

Correct Answer: 9 : 8


Solution : As per the graph,
The total production in A in 2016 = 280 million tonnes
The total production in C in 2018 = 350 million tonnes
Total production = 280 + 350 = 630  million tonnes
The total production in B in 2017

9 Views

Question : Directions: The weight of the four boxes is 20, 40, 80, and 90 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes, and in a combination, a box can be used only once?

Option 1: 220

Option 2: 230

Option 3: 150

Option 4: 210

Team Careers360 25th Jan, 2024

Correct Answer: 220


Solution : Given:
The weight of the four boxes is 20, 40, 80, and 90 kilograms.

The total weight of all possible combinations of boxes is as follows –
20 + 40 = 60; 20 + 80 = 100; 20 + 90 = 110; 40 + 80

2 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

Due to the fall in real estate prices builders have (stopped from constructing) multi-storeyed office buildings

(1) at constructing

(2) to constructing

(3) stopped constructing

(4) No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 25th Jan, 2024

Correct Answer: 3


Solution : The correct choice to improve the sentence is the third option.

Explanation: This option is the correct improvement. It uses the verb "stopped constructing," which is the appropriate way to convey that builders have ceased their construction activities. This option adheres to proper verb usage

136 Views

Question : (N + 18) persons, each working for 7.5 hours a day, can complete 48% of the work in 20 days. (N + 12) persons can complete the remaining work in 30 days if each works 6.5 hours per day. Determine the value of N.

Option 1: 18

Option 2: 16

Option 3: 20

Option 4: 22

Team Careers360 25th Jan, 2024

Correct Answer: 18


Solution : Number of hours (N + 18) people worked in a day, $T_1$ = 7.5 hours
Number of days they worked for, $D_1$ = 20 days
Fraction of work completed by them, $W_1$ = 0.48
Number of hours (N + 12) people worked in a day,

54 Views

Question : From two points, lying on the same horizontal line, the angles of elevation of the top of the pillar are $\theta$ and $\phi$ ($\theta<\phi$). If the height of the pillar is $h$ m and the two points lie on the same sides of the pillar, then the distances between the two points are:

Option 1: $h(\tan\theta-\tan\phi)$ metre

Option 2: $h(\cot\phi-\cot\theta)$ metre

Option 3: $h(\cot\theta-\cot\phi)$ metre

Option 4: $h\frac{(\tan\theta \tan\phi)}{(\tan\phi-\tan\theta)}$ metre

Team Careers360 24th Jan, 2024

Correct Answer: $h(\cot\theta-\cot\phi)$ metre


Solution :
Let AB = height of pole = $h$ metre
$\angle$ACB = $\theta$, $\angle$ADB = $\phi$
In ∆ABD,
$\tan\phi=\frac{AB}{BD}$
⇒ $BD=h\cot\phi$
In ∆ABC,
$\tan\theta=\frac{AB}{BC}$
⇒ $BC=h\cot\theta$
∴ Required distance, CD
$=h\cot\theta-h\cot\phi$
$= h(\cot\theta-\cot\phi)$ metre
Hence, the correct answer is $h(\cot\theta-\cot\phi)$ metre.

21 Views

Question : Successive discounts of 10% and 10% are equivalent to a single discount of:

Option 1: 18%

Option 2: 19%

Option 3: 20%

Option 4: 21%

Team Careers360 25th Jan, 2024

Correct Answer: 19%


Solution : Single equivalent discount of 10% and 10% $=10+10-\frac{10×10}{100}=19\%$
Hence, the correct answer is 19%.

24 Views

Question : The area of a sector of a circle is 88 sq. cm., and the angle of the sector is 45°. Find the radius of the circle. (Use $\pi=\frac{22}{7}$)

Option 1: $3 \sqrt{ 11} \mathrm{~cm}$

Option 2: $4 \sqrt{ 14} \mathrm{~cm}$

Option 3: $6 \sqrt{ 13} \mathrm{~cm}$

Option 4: $5 \sqrt{ 14} \mathrm{~cm}$

Team Careers360 25th Jan, 2024

Correct Answer: $4 \sqrt{ 14} \mathrm{~cm}$


Solution : Given, that the angle of the sector is 45°.
The area of a sector of a circle is 88 sq. cm.
Let the radius of the circle be $r$ cm.
We know that Area of sector = $\frac{\theta}{360^{\circ}}\times \pi r^2$
According to

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