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Staff Selection Commission Combined Higher Secondary Level Exam

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14 Views

Question : The area of a square is 100 sq. cm. Find the length (in cm) of its diagonal.

Option 1: $10\sqrt{2}$

Option 2: $10$

Option 3: $20\sqrt{2}$

Option 4: $20$

Team Careers360 25th Jan, 2024

Correct Answer: $10\sqrt{2}$


Solution : The area of a square is given by the formula $A = s^2$, where $s$ is the length of a side.
Given that the area is 100 sq. cm.
$s = \sqrt{A} = \sqrt{100} = 10 \text{ cm}$
The length of the diagonal $d$ of a square,
$d = s\sqrt{2}$
On substituting $s$ = 10 cm,
$d = 10\sqrt{2} \text{ cm}$
Hence, the correct answer is $10\sqrt{2}$.

12 Views

Question : In a circle, the length of a chord is 30 cm. The perpendicular distance of the chord from the centre of the circle is 8 cm. Find the diameter of the circle.

Option 1: 28 cm

Option 2: 34 cm

Option 3: 17 cm

Option 4: 30 cm

Team Careers360 25th Jan, 2024

Correct Answer: 34 cm


Solution :
Let AB be the chord and O be the center of the circle.
Also, OP is perpendicular to AB
In $\triangle$ OPB,
OB2 = PB2 + OP2
⇒ OB2 = 152 + 82
⇒ OB2 = 225 + 64
⇒ OB2 = 289
⇒ OB = $\sqrt{289}$ 
⇒ OB = 17 cm
Diameter = 2 × OB = 2 × 17 = 34 cm
∴ The diameter of the circle is 34 cm.
Hence, the correct answer is 34 cm.

76 Views

Question : Gross primary deficit is equal to ____________.

Option 1: difference between gross fiscal deficit and interest payments

Option 2: difference between total expenditure and total receipts

Option 3: difference between net borrowings and net capital receipts

Option 4: difference between revenue deficit and capital expenditure

Team Careers360 25th Jan, 2024

Correct Answer: difference between gross fiscal deficit and interest payments


Solution : The correct answer is the difference between the gross fiscal deficit and interest payments.

Gross primary deficit refers to the difference between the fiscal deficit of the current year and interest payments made on previous borrowings. It displays the government's budget deficit (interest payments excluded). The estimated borrowings of the nation's government represent the fiscal deficit; thus, the larger the deficit, the larger the government's borrowings will be.

29 Views

Question : In a triangle ABC, two angles A and B are equal. If the exterior angle is at $\angle A = 115°$, find the measure of $\angle C$.

Option 1: $50^{\circ}$

Option 2: $130^{\circ}$

Option 3: $115^{\circ}$

Option 4: $65^{\circ}$

Team Careers360 25th Jan, 2024

Correct Answer: $50^{\circ}$


Solution :
$\angle A = 180° - 115° = 65°$
$\angle B = \angle A = 65°$
The sum of angles of the triangle = 180°
$\angle C = 180° - \angle A - \angle B$
$⇒\angle C = 180° - 65°- 65°$
$\therefore\angle C = 50°$
Hence, the correct answer is $50°$.

10 Views

Question : The 'Poorna Swaraj' resolution was adopted in the annual session of the Indian National Congress held at

Option 1: Bombay

Option 2: Lahore

Option 3: Calcutta

Option 4: Madras

Team Careers360 25th Jan, 2024

Correct Answer: Lahore


Solution : The correct option is Lahore.

The "Poorna Swaraj" resolution was approved at the Indian National Congress' annual meeting on December 31, 1929, in Lahore. This resolution, known as "Poorna Swaraj," called for total independence (or "Poorna Swaraj") from British colonial rule, and it was a crucial turning point in the Indian independence struggle. The date was chosen by the Congress as India's Independence Day, and after the country gained its independence in 1947, it was changed to the Republic Day of India.

107 Views

Question : Anil and Arun started for car race from the same point in the same direction and at the same time on a circular track of length 2575 m with speeds 72 km/hr and 90 km/hr, respectively. After how much time (in seconds) will they meet again for the first time?

Option 1: 520

Option 2: 525

Option 3: 510

Option 4: 515

Team Careers360 25th Jan, 2024

Correct Answer: 515


Solution : Given that Anil and Arun are running in the same direction with the speed of 72 km/hr and 90 km/hr respectively.
Length of circular track = 2575 m
Relative Speed of Anil and Arun = 90 – 72 = 18 km/h = 18$\times\frac{5}{18} = 5$ m/s
⇒ Time taken by them to meet for the first time on the track while running in the same direction = $\frac{\text{Length of track}}{\text{Relative speed in same direction}}$
⇒ $\frac{2575}{5}$ = 515 seconds
Hence, the correct answer is 515.

25 Views

Question : As a result of a higher rate of inflation in India, the US dollar will:

Option 1: depreciate

Option 2: constant

Option 3: negligible

Option 4: appreciate

Team Careers360 25th Jan, 2024

Correct Answer: appreciate


Solution : The correct option is appreciated.

The US dollar will strengthen and the Indian rupee will weaken as a result of India's high rate of inflation. As a result, American goods will be imported into India at a higher rate and Indian goods will be exported to the United States at a lower rate, which will affect both the price of the Indian rupee in terms of dollars and the dollar exchange rate.

35 Views

Question : By interchanging the digits of a two-digit number, we get a number which is four times the original number minus 24. If the digit at the unit's place of the original number exceeds its digit at ten's place by 7, then the original number is:

Option 1: 29

Option 2: 36

Option 3: 58

Option 4: 18

Team Careers360 25th Jan, 2024

Correct Answer: 29


Solution : Let the digit in the ten's place and the digit in the unit's place be x and y respectively.
Then the original number = 10x + y and the new number = 10y + x.
According to the question,
10y + x = 4(10x + y) – 24
or, 10y + x = 40x + 4y– 24
or, 39x – 6y = 24
or, 13x – 2y = 8 -------------------------------(1)
Also, given that y – x = 7
so, y = x + 7 -----------------------------------(2)
Now, putting the value of y in (1)
13x – 2(x + 7) = 8
or, 13x – 2x – 14 = 8
or, 11x = 22
or, x = 2
Now, from (2) we get,
y = 2 + 7
or, y = 9
Putting the value of x and y in the original number, we get,
10x + y = (10 × 2) + 9 = 29
Hence, the correct answer is 29.

12 Views

Question : From which among the following rulers has the Government of India borrowed and adopted its symbols?

Option 1: Ashoka

Option 2: Krishnadevaraya

Option 3: Pulakeshin

Option 4: Kanishka

Team Careers360 25th Jan, 2024

Correct Answer: Ashoka


Solution : The correct option is Ashoka.

The Mauryan ruler Ashoka's emblem was copied and used by the Government of India. The Ashoka Chakra is India's national symbol. It is a wheel with 24 spokes. The wheel is a symbol of Dharma, the Hindu notion of justice or responsibility. It is also a representation of the Buddhist notion of the Wheel of Law. The Ashoka Lion Capital is the focal point of the national symbol. It is a four-lion capital that was originally positioned atop the Sarnath pillar, which was constructed by Ashoka in the third century BCE. Lions are a sign of strength and power.

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