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Staff Selection Commission Combined Higher Secondary Level Exam

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Question : The sum of the length and breadth of a cuboid is 4 cm. Length is three times the breadth. If the height of the cuboid is half of the sum of its length and breadth. Then what is the total surface area of the cuboid?

Option 1: 64 cm2

Option 2: 22 cm2

Option 3: 32 cm2

Option 4: 30 cm2

Team Careers360 21st Jan, 2024

Correct Answer: 22 cm2


Solution : Given:
The sum of length and breadth = 4 cm
Length = 3 times of breadth
Height = half of the sum of length and breadth
Let breadth = $x$
⇒ Length = $3x$
⇒ Sum of length and breadth = $x +

26 Views

Question : Directions: Which term from among the given options can replace the question mark (?) in the following series to make it logically complete?
LT 48, ?, NV 42, OW 39, PX 36

Option 1: MU 45

Option 2: NU 44

Option 3: NS 44

Option 4: MS 46

Team Careers360 25th Jan, 2024

Correct Answer: MU 45


Solution : Given:
LT 48, ?, NV 42, OW 39, PX 36

In the above-given series, add 1 to the place values of the first and the second letters and subtract 3 from the number, to obtain the next term.
LT 48→L + 1 = M;

25 Views

Question : With a stretch of about 724 km, which river is one of the most important rivers of peninsular India?

Option 1: Tapi

Option 2: Beas

Option 3: Palar

Option 4: Bhavani

Team Careers360 23rd Jan, 2024

Correct Answer: Tapi


Solution : The correct option is Tapi.

The river Tapi rises in the Madhya Pradesh Satpura Range and runs westward until draining into the Arabian Sea in Gujarat state.

The Tapi River is known for its important role in providing water for agriculture and supporting the livelihoods

49 Views

Question : From an aeroplane just over of river, the angle of depression of two palm trees on the opposite bank of the river is found to be $60^{\circ}$ and $30^{\circ}$, respectively. If the breadth of the river is 400 metres, then the height of the aeroplane above the river at that instant is: $(\sqrt{3} = 1.732)$

Option 1: 173.2 metres

Option 2: 346.4 metres

Option 3: 519 .6 metres

Option 4: 692.8 metres

Team Careers360 25th Jan, 2024

Correct Answer: 173.2 metres


Solution :
Let,
$BC$ = River = $400$ m
$AD$ = Height of plane = $H$ m
$BD=x$ m
$CD=(400-x)$ m
From $\Delta ABD$,
$\tan 60^{\circ} = \frac{AD}{BD}$
 $⇒\sqrt3 = \frac{H}{x}$
$⇒H = \sqrt3x$
$⇒x=\frac{H}{\sqrt3}$--------------(i)
From $\Delta ADC$,
$\tan 30^{\circ} = \frac{AD}{CD}$
$⇒\frac{1}{\sqrt3} = \frac{H}{400-x}$
$⇒\sqrt3H

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Question :  

Match the following statements:

List I  List II
a) Champakulam boat race  i) Gujarat
b) Somnath fair  ii) Haryana
c) Surajkund fair  iii) Rajasthan
d) Baneshwar fair  iv) Kerala

 




 

Option 1: a-iv, b-iii, c-i, d-ii

Option 2: a-iii, b-i, c-iv, d-ii

Option 3: a-iv, b- ii, c- i, d-iii

Option 4: a-iv, b-i, c-ii, d-iii

Team Careers360 23rd Jan, 2024

Correct Answer: a-iv, b-i, c-ii, d-iii


Solution : The correct option is a-iv, b-i, c-ii, d-iii.

The Champakulam boat race is a famous annual event held in Kerala. It is one of the oldest and most prestigious boat races.

The Somnath Fair is a religious celebration held in Gujarat.

23 Views

Question : The pie chart represents the modes of transport used by different employees in a university.

The central angle of the sector for officers using two-wheelers is:

Option 1: 72$^{\circ}$

Option 2: 46$^{\circ}$

Option 3: 36$^{\circ}$

Option 4: 54$^{\circ}$

Team Careers360 19th Jan, 2024

Correct Answer: 54$^{\circ}$


Solution : Using information from the table:
Two wheeler = 15%
According to the question,
Central angle corresponding to two wheeler = $\frac{15}{100}×360^{\circ}$ = 54$^{\circ}$
Hence, the correct answer is 54$^{\circ}$.

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