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Staff Selection Commission Combined Graduate Level Exam

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Question : If $\triangle \mathrm{ABC}$ is right angled at $B, A B = 12 \mathrm{~cm},$ and $\angle \mathrm{CAB} = 60^{\circ}$, determine the length of BC.

Option 1: $12 \sqrt{2} \mathrm{~cm}$

Option 2: $12\mathrm{~cm}$

Option 3: $12 \sqrt{3} \mathrm{~cm}$

Option 4: $24 \sqrt{3} \mathrm{~cm}$

Team Careers360 17th Jan, 2024

Correct Answer: $12 \sqrt{3} \mathrm{~cm}$


Solution :
Given: AB = 12 cm
AC is the hypotenuse of the triangle.
We have to find tan of $\angle CAB = \tan 60° = \frac{\text{BC}}{\text{AB}}$
$⇒\sqrt{3} = \frac{\text{BC}}{12}$
$\therefore\text{BC} = 12\sqrt{3}\mathrm{~cm}$
Hence, the correct answer is $12\sqrt{3}\mathrm{~cm}$.

17 Views

Question : Food crops comprise.

Option 1: Cotton, Tobacco, Sugarcane

Option 2: Linseed, Castor, Turmeric

Option 3: Foodgrains, Pulses, Edible oilseed

Option 4: Jute, Cotton, Chillies

Team Careers360 14th Jan, 2024

Correct Answer: Foodgrains, Pulses, Edible oilseed


Solution : The correct answer is Foodgrains, Pulses, Edible oilseed.

Crops are classified based upon their utility into two types- Food crops and Cash crops. Food crops are the one which are produced for consumption by the farmers and form the main portion of

73 Views

Question : Dharmendra can row 80 km upstream and 110 km downstream in 13 hours. Also, he can row 60 km upstream and 88 km downstream in 10 hours. What is the speed (in km/hr ) of the current?

Option 1: 6

Option 2: 16

Option 3: 10

Option 4: 12

Team Careers360 11th Jan, 2024

Correct Answer: 6


Solution : Let downstream speed and upstream speeds be $u$ km/hr and $v$ km/hr, respectively. 
Dharmendra can row 80 km upstream and 110 km downstream in 13 hours
$\frac{110}{u}+\frac{80}{v}=13$..................(I)
He can row 60 km upstream and 88 km downstream in 10 hours.
$\frac{88}{u}+\frac{60}{v}=10$..................(II)
Equation (I) is multiplied

18 Views

Question : In organic chemistry, which of the following is an empirical rule used to predict the regioselectivity of electrophilic addition reactions of alkanes and alkynes?

Option 1: Cornforth’s rule

Option 2: Bredt’s rule

Option 3: Markovnikov’s rule

Option 4: Baldwin’s rule

Team Careers360 12th Jan, 2024

Correct Answer: Markovnikov’s rule


Solution : The correct answer is Markovnikov’s rule.

Certain chemical addition reactions can be described by Markovnikov's rule, commonly referred to as Markovnikov's rule. As per this rule, the carbon (C) atom with fewer hydrogen atoms is bound by the nucleophilic X-, whereas the carbon

15 Views

Question : If in acute-angled triangle ABC, AL, BM, and CN are the three altitudes of triangle ABC, then which of the following statements will be true?

Option 1: AL + BM + CN = AB + BC + CA

Option 2: AL + BM = AB + BC

Option 3: AL + BM + CN > AB + BC + CA

Option 4: AL + BM + CN < AB + BC + CA

Team Careers360 18th Jan, 2024

Correct Answer: AL + BM + CN < AB + BC + CA


Solution :

We know the theorem states that the sum of three altitudes of a triangle is less than the sum of three sides of the triangle. The altitudes form right angles with the opposite sides of

30 Views

Question : Directions: Which two signs should be interchanged to make the given equation correct?
912 – 456 × 28 + 390 ÷ 2 = 444

Option 1: ÷ and –

Option 2: ÷ and +

Option 3: – and +

Option 4: + and ×

Team Careers360 21st Jan, 2024

Correct Answer: ÷ and –


Solution : Given:
912 – 456 × 28 + 390 ÷ 2 = 444

Replace the given symbols in the options one by one with the original symbols in the given equation and apply the BODMAS rule.
First option: ÷ and –
= 912 ÷

22 Views

Question : The soil conservation method in which mountain slope is cut into step is 

Option 1: Contour ploughing

Option 2: Cover planting

Option 3: Strip cropping

Option 4: Terracing

Team Careers360 13th Jan, 2024

Correct Answer: Terracing


Solution : The correct option is Terracing.

Terracing, a land management strategy that involves the development of level or slightly sloping platforms on steep terrain, has numerous significant advantages. By reducing water flow and conserving important topsoil, it effectively reduces soil erosion. These flat or moderately sloping

20 Views

Question : Ozone protects biosphere from:

Option 1: X -rays

Option 2: Gamma rays

Option 3: Ultraviolet rays

Option 4: Infrared rays

Team Careers360 18th Jan, 2024

Correct Answer: Ultraviolet rays


Solution : The correct option is Ultraviolet rays.

Ozone is critical in safeguarding the biosphere from the sun's damaging ultraviolet (UV) radiation. Ozone molecules have a unique ability to absorb and block a considerable fraction of incoming UV light, particularly UV-C and UV-B photons with shorter

23 Views

Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary.
1. Banished
2. Bandage
3. Bannister
4. Bankrupt
5. Bandwagon
6. Banquet

Option 1: 2, 5, 1, 3, 4, 6

Option 2: 5, 2, 1, 4, 3, 6

Option 3: 2, 5, 1, 4, 3, 6

Option 4: 2, 5, 4, 1, 3, 6

Team Careers360 14th Jan, 2024

Correct Answer: 2, 5, 1, 4, 3, 6


Solution : Given:
1. Banished 2. Bandage 3. Bannister 4. Bankrupt 5. Bandwagon 6. Banquet

Step 1: Compare the first letter of each word. Since all the words start with the same letter B, we move on to the next

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