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Staff Selection Commission Combined Graduate Level Exam

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Question : A and B are centres of two circles of radii 11 cm and 6 cm, respectively. PQ is a direct common tangent to the circles. If AB = 13 cm, then the length of PQ will be:

Option 1: 8.5 cm

Option 2: 13 cm

Option 3: 12 cm

Option 4: 17 cm

Team Careers360 13th Jan, 2024

Correct Answer: 12 cm


Solution :
Length of direct common tangent $PQ = \sqrt{AB^2-(r_1-r_2)^2}$
$= \sqrt{13^2-(11-6)^2}$
$= \sqrt{13^2-5^2}$
$= \sqrt{169-25}$
$= \sqrt{144}$
$=12$ cm
Hence, the correct answer is 12 cm.

19 Views

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

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 19th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line PQ). So, the left side of the reflected image will appear

8 Views

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

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 11th 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

26 Views

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

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 22nd 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 AB). So, the left side of the

42 Views

Question : Which scientist discovered the radioactive element radium?

 

Option 1: Marie Curie

Option 2: Isaac Newton

Option 3: Albert Einstein

Option 4: Benjamin Franklin

Team Careers360 19th Jan, 2024

Correct Answer: Marie Curie


Solution : The correct answer is Marie Curie 

Marie Curie first discovered the radioactive elements polonium and radium, Marie continued to investigate their properties. In 1910 she successfully produced radium as a pure metal, which proved the new element's existence beyond a doubt.

While uranium was

148 Views

Question : Directions: Which number should replace the question mark (?) in the following number series?
32, 54, 98, 186, ?, 714

Option 1: 452

Option 2: 450

Option 3: 362

Option 4: 354

Team Careers360 25th Jan, 2024

Correct Answer: 362


Solution : Given:
32, 54, 98, 186, ?, 714

Multiply the previous term in the series by 2 and then subtract 10 from the resultant to get the next term of the series.
(32 × 2) – 10  = 64 – 10 = 54
(54 × 2)

10 Views

Question : In which year was the Vernacular Press Act enacted in British India?

Option 1: 1876

Option 2: 1874

Option 3: 1872

Option 4: 1878

Team Careers360 25th Jan, 2024

Correct Answer: 1878


Solution : The correct option is 1878.

In 1878, the Vernacular Press Act was passed in British India. This regulation was passed during the colonial era to restrict the vernacular press, which included newspapers and magazines in Indian languages. The British colonial rulers mainly used it to

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