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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: In a certain code language, YOU is written as 71 and TOO is written as 60. How will SIT be written in that language?

Option 1: 90

Option 2: 96

Option 3: 58

Option 4: 94

Team Careers360 23rd Jan, 2024

Correct Answer: 58


Solution : Given:
YOU is written as 71 –

Add the position values of the letters of the given word YOU then add 10 to the resultant number to obtain the required code –
Y→25; O→15; U→21
Now, add the position values of the given word YOU

17 Views

Question : From point P on the level ground, the angle of elevation to the top of the tower is 30°. If the tower is 100 metres high, the distance of point P from the foot of the tower is: (Take $\sqrt{3}$ = 1.73)

Option 1: 149 m

Option 2: 156 m

Option 3: 173 m

Option 4: 188 m

Team Careers360 25th Jan, 2024

Correct Answer: 173 m


Solution :
Let AB be the tower.
Given: AB = 100 m and $\theta$ = 30°
In $\triangle$ PAB,
$\tan$ $\theta$ = $\frac{AB}{PB}$
⇒ $\tan 30°$ = $\frac{100}{PB}$
⇒ $\frac{1}{\sqrt{3}}$ = $\frac{100}{PB}$
⇒ $PB = 100 × \sqrt{3} = 100 × 1.73 = 173$ m
Hence,

9 Views

Question : If $x=a+\frac{1}{a}$ and $y=a-\frac{1}{a}$, then the value of $x^4+y^4-2x^2y^2$ is:

Option 1: 4

Option 2: 8

Option 3: 16

Option 4: 64

Team Careers360 25th Jan, 2024

Correct Answer: 16


Solution : Given:
$x=a+\frac{1}{a}$, $y=a-\frac{1}{a}$
Now, $x^2=(a+\frac{1}{a})^2=a^2+\frac{1}{a^2}+2$
And $y^2=(a-\frac{1}{a})^2=a^2+\frac{1}{a^2}-2$
Now, we know, $x^4+y^4-2x^2y^2=(x^2-y^2)^2$
$⇒x^4+y^4-2x^2y^2= [(a^2+\frac{1}{a^2}+2)-(a^2+\frac{1}{a^2}-2)]^2$
$\therefore x^4+y^4-2x^2y^2=(2+2)^2=16$
Hence, the correct answer is 16.

46 Views

Question : A sentence has been given with a blank to be filled with an appropriate word. Choose the correct alternative.

His heart pounded as he checked his rearview mirror and saw only the dark _______ of highway.

Option 1: vitality

Option 2: stretch

Option 3: trench

Option 4: emancipation

Team Careers360 19th Jan, 2024

Correct Answer: stretch


Solution : The second option is the correct choice.

Stretch means a continuous extent or expanse. In the context of the sentence, it refers to the view of the highway in the rearview mirror.

The meanings of the other options are as follows:

  • Vitality means energy or

41 Views

Question : Directions: The bar graph represents the number of road accidents due to buses and cars during the years 2008 to 2013. Study the graph and answer the questions.

The total number of road accidents in the year 2009, 2011 and 2013 combined is:

Option 1: 1,80,000

Option 2: 1,10,000

Option 3: 70,000

Option 4: 1,60,000

Team Careers360 17th Jan, 2024

Correct Answer: 1,80,000


Solution : As per the given graph:
The total number of road accidents in the year 2009 = 30 + 40 = 70 thousand.
The total number of road accidents in the year 2011 = 60 + 20 = 80 thousand.
The total number of road accidents

15 Views

Question : The maximum value of $5+20x-4x^{2}$, when $x$ is a real number, is:

Option 1: 1

Option 2: 5

Option 3: 25

Option 4: 30

Team Careers360 19th Jan, 2024

Correct Answer: 30


Solution : Given: $5+20x-4x^{2}$
If an expression is in the form of $ax^{2}+bx+c$, then the maximum value is given by ($c-\frac{b^2}{4a}$).
Here, $c = 5$, $b = 20$ and $a = -4$
$\therefore$ Maximum value = $5-\frac{20^2}{4×(–4)}$
= $5 - \frac{400}{–16}$
= $5-(-25)$
= $30$
Hence, the

19 Views

Question : The largest producer of Lac in India is

Option 1: Chhattisgarh

Option 2: Jharkhand

Option 3: West Bengal

Option 4: Gujarat

Team Careers360 25th Jan, 2024

Correct Answer: Jharkhand


Solution : The correct answer is Jharkhand.

Lac is a resin produced by the insect Kerria lacca. It is a bug and is the principal source of lac. Lac is used in a wide range of products, such as bangles, fillers, furniture, drugs, cosmetics, food, etc.

131 Views

Question : x, y, and z are distinct prime numbers where x < y < z. If x + y + z = 70, then what is the value of z?

Option 1: 29

Option 2: 43

Option 3: 31

Option 4: 37

Team Careers360 22nd Jan, 2024

Correct Answer: 37


Solution : Given: x, y, and z are distinct prime numbers where x < y < z.
x + y + z = 70
The sum indicates that at least one integer is even because odd + odd + odd = odd.
There is just one even

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