All Questions

Staff Selection Commission Combined Graduate Level Exam

Get Updates
Showing 561 - 570 out of 16751 Questions
11 Views

Question : ABCD is a trapezium with AD and BC parallel sides and E is a point on BC. The ratio of the area of ABCD to that of AED is:

Option 1: $\mathrm{\frac{AD}{BC}}$

Option 2: $\mathrm{\frac{BE}{EC}}$

Option 3: $\mathrm{\frac{AD+BE}{AD+CE}}$

Option 4: $\mathrm{\frac{AD+BC}{AD }}$

Team Careers360 27th Jan, 2024

Correct Answer: $\mathrm{\frac{AD+BC}{AD }}$


Solution :

The area of a trapezium,
$\text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height}$
$\text{Area}_{ABCD} = \mathrm{\frac{1}{2} \times (AD + BC) \times EF}$
The area of triangle AED,
$\text{Area}_{AED} = \mathrm{\frac{1}{2} \times AD \times EF}$
The ratio of the area of ABCD to that of AED,
$\mathrm{\frac{\text{Area}_{ABCD}}{\text{Area}_{AED}} = \frac{\frac{1}{2} \times (AD + BC) \times EF}{ \frac{1}{2} \times AD \times EF} = \frac{AD + BC}{AD}}$
Hence, the correct answer is $ \mathrm{\frac{AD + BC}{AD}}$.

5 Views

Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".

Internet providers would not block content because it would not to be make economic sense and consumers would stand for it.

  1. not be making economical sense
  2. not be make economical sense
  3. not make economic sense
  4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 27th Jan, 2024

Correct Answer: 3


Solution : The correct choice is the third option.

The phrase not make economic sense should replace not to make economic sense, as modal verbs are to be followed by the base form of the main verb. Here, would is a modal verb and it should be followed by the base form of the main verb, make.

So, the correct sentence is: Internet providers would not block content because it would not make economic sense and consumers would stand for it.

43 Views

Question : Rubi goes to a multiplex at a speed of 3 km/h to see a movie and reaches 5 minutes late. If she travels at the speed of 4 km/h she reaches 5 minutes early, then the distance of the multiplex from her starting point is:

Option 1: 2 km

Option 2: 5 km

Option 3: 2 metres

Option 4: 5 metres

Team Careers360 27th Jan, 2024

Correct Answer: 2 km


Solution : Let the distance be $x$ km.
According to the question,
Speed = $\frac{\text{Distance}}{\text {Time}}$ 
$\frac{x}{3}–\frac{x}{4}=\frac{5+5}{60}$
⇒ $x=2$
Hence, the correct answer is 2 km.

42 Views

Question : The bar graph given below shows the percentage distribution of the total production of six different types of cars by a car manufacturing company over 2 years.


If 75% of the T-type cars produced each year were sold by the company, how many T-type cars remain unsold?

Option 1: 23500

Option 2: 22000

Option 3: 24125

Option 4: 25000

Team Careers360 26th Jan, 2024

Correct Answer: 24125


Solution : According to the question, 75% of the T-type cars are sold.
Now, if 75% of the T-type cars produced each year were sold by the company, the number of T-type cars remain unsold
= 350000 $\times$ (90 – 75)% $\times$ (100 – 75)% $+$ 440000 $\times$ (95 – 85)% $\times$ (100 – 75)%
= 24125
Hence, the correct answer is 24125.

15 Views

Question : The climatic zones are classified on the basis of

Option 1: distance from equator

Option 2: elevation

Option 3: rainfall

Option 4: distance from the sea

Team Careers360 26th Jan, 2024

Correct Answer: rainfall


Solution : The correct option is - rainfall

The maximum and minimum temperatures, temperature range, total and seasonal distribution of precipitation, and other factors are used to classify the climatic zones. The most well-known classification scheme was initially created by Wladimir Koppen based on these parameters.

42 Views

Question : If, $\frac{r}{13}+\frac{13}{r}=1$, then the value of $r^3$ is:

Option 1: –2157

Option 2: 2197

Option 3: 2157

Option 4: –2197

Team Careers360 26th Jan, 2024

Correct Answer: –2197


Solution : $\frac{r}{13}+\frac{13}{r}=1$
We know that if $x+\frac{1}{x} = 1$, then $x^3 = -1$
Let $\frac{r}{13} = x$
The equation becomes,
$x+\frac{1}{x} = 1$
⇒ $x^2-x+1=0$
$x^3+1^3=(x+1) (x^2-x+1)$
⇒ $x^3+1^3 =0$
⇒ $x^3 = -1$
⇒ $(\frac{r}{13})^3 = -1$
⇒ $r^3 = -2197$
Hence, the correct answer is –2197.

11 Views

Question : Muddy water is treated with alum in purification process, it is same as

Option 1: Emulsification

Option 2: Absorbtion

Option 3: Adsorbtion

Option 4: Coagulation

Team Careers360 26th Jan, 2024

Correct Answer: Coagulation


Solution : The correct answer is coagulation. 

When the suspended particles in any liquid solution form a precipitate and settle down, then this process is known as coagulation. The most common example of it is coagulation of blood which forms a blood clot and stops bleeding. Similarly when alum is added to the muddy water it reacts with the impurities of the water and forms a solid precipitate which settles down at the bottom of water along with all the suspended dust particles. 

58 Views

Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.
45 : 15 :: 20 : 10 :: 125 : ?

Option 1: 20

Option 2: 25

Option 3: 28

Option 4: 24

Team Careers360 26th Jan, 2024

Correct Answer: 25


Solution : Given:
45 : 15 :: 20 : 10 :: 125 : ?

Like, 45 : 15→(45 × 5) = 225; √225 = 15
20 : 10→(20 × 5) = 100; √100 = 10
Similarly, follow the same pattern for 125 : ?→(125 × 5) = 625; √625 = 25

So, 25 is related to 125. Hence, the second option is correct.

7 Views

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

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 27th 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 reflected image will appear as the right side and the right side will appear as the left side. However, the top and bottom of the reflected image will remain the same.

Thus, the correct mirror image of the given figure will be –

Hence, the second option is correct.

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

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

Careers360 App
150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books