All Questions

Staff Selection Commission Combined Graduate Level Exam

Follow
Showing 7091 - 7100 out of 16717 Questions
188 Views

Question : The ratio of the present ages of Ram and Ramesh is 3 : 5. After 7 years the ratio of their ages will be 4 : 5. Find the present age of Ramesh.

Option 1: 5 years

Option 2: 15 years

Option 3: 7 years

Option 4: 12 years

Team Careers360 23rd Jan, 2024

Correct Answer: 7 years


Solution : Let the present age of Ram and Ramesh be $3x$ and $5x$.
According to the question,
After 7 years,
$\frac{3x+7}{5x+7}=\frac{4}{5}$
⇒ $15x + 35 = 20x + 28$
⇒ $35 - 28 = 20x - 15x$
⇒ $5x = 7$
⇒ $x = \frac{7}{5}$

18 Views

Question : A fan is listed at Rs. 150 with a discount of 20%. What additional discount must be offered to the customer to bring the net price to Rs. 108?

Option 1: $11\frac{1}{9}$%

Option 2: $15$%

Option 3: $8$%

Option 4: $\text{None of these}$

Team Careers360 18th Jan, 2024

Correct Answer: $\text{None of these}$


Solution : Marked price = Rs. 150
Discount = 20% of marked price = 20% of 150 = $\frac{20}{100}$ × 150 = Rs. 30
Price after initial discount = Rs. 150 – Rs. 30 = Rs. 120
Final price = Rs. 108
Additional discount to

11 Views

Question : If $0°<\theta<90°$, the value of $\sin\theta+\cos\theta$ is:

Option 1: Equal to 1

Option 2: Greater than 1

Option 3: Less than 1

Option 4: Equal to 2

Team Careers360 24th Jan, 2024

Correct Answer: Greater than 1


Solution : $\sin\theta+\cos\theta$ where $0°<\theta<90°$
Putting the value of $\theta=45°$, we have,
$\sin 45°+\cos45°=\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}$
⇒ $\sin 45°+\cos45° =\frac{2}{\sqrt{2}}=\sqrt{2}$
Here, $\sqrt{2}=1.414>1$
Hence, the correct answer is greater than 1.

18 Views

Question : $ABC$ is a triangle and $D$ is a point on the side $BC$. If $BC = 16\mathrm{~cm}$, $BD = 11 \mathrm{~cm}$ and $\angle ADC = \angle BAC$, then the length of $AC$ is equal to:

Option 1: $4 \sqrt{5} \mathrm{~cm}$

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

Option 3: $3 \sqrt{5} \mathrm{~cm}$

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

Team Careers360 24th Jan, 2024

Correct Answer: $4 \sqrt{5} \mathrm{~cm}$


Solution :

We have,
The $ABC$ is a triangle and $D$ is a point on the side $BC$. If $BC = 16 \mathrm{~cm}$, $BD = 11 \mathrm{~cm}$, $\angle ADC = \angle BAC$ (given), $\angle C$ is common angle and $AC$ is common side.
So, $\triangle

12 Views

Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 3.

Option 1: 4

Option 2: 1

Option 3: 5

Option 4: 2

Team Careers360 21st Jan, 2024

Correct Answer: 1


Solution : Taking dice positions of Figures 1 and 2 with 5 as the common face –

Moving clockwise from the common face with 5 –

Pairs of opposite faces –

So, the opposite face to the face containing 3 is 1. Hence, the second option is

35 Views

Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
You should / see a oculist; / your eyes look / worse today.

Option 1: your eyes look

Option 2: You should

Option 3: worse today

Option 4: see a oculist;

Team Careers360 22nd Jan, 2024

Correct Answer: see a oculist;


Solution : The correct choice is the fourth option.

Explanation: The use of a or an before a noun depends on the sound that follows it, not the actual letter. When a word begins with a vowel sound, you should use an instead of a

15 Views

Question :  150 metres long train passes a telegraphic post in 12 seconds. Find the speed of the train (in km/h).

Option 1: 50

Option 2: 12.5

Option 3: 25

Option 4: 45

Team Careers360 17th Jan, 2024

Correct Answer: 45


Solution : Given: The distance of the train is 150 m and its time taken is 12 seconds.
We know that, $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$
To convert m/s into km/h multiply by $\frac{18}{5}$ and we get,
So, the speed of the train = $\frac{150}{12}\times \frac{18}{5}= 45$ km/h
Hence, the correct

51 Views

Question : Which of the following numbers is divisible by 24?

Option 1: 52668

Option 2: 49512

Option 3: 64760

Option 4: 26968

Team Careers360 24th Jan, 2024

Correct Answer: 49512


Solution : To find: The number which is divisible by 24.
We know,
If a number is divisible by both 3 and 8 then it will be divisible by 24.
If the sum of digits of a number is divisible by 3 then the number is divisible

13 Views

Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series.
VWX, BCD, HIJ, ?

Option 1: MOQ

Option 2: NOP

Option 3: GHI

Option 4: TUV

Team Careers360 17th Jan, 2024

Correct Answer: NOP


Solution : Given:
VWX, BCD, HIJ, ?

Add 6 to each letter of the given terms to obtain the next term in the series –
First letter of the series→V + 6 = B; B + 6 = H; H + 6 = N
Second letter of

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