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Staff Selection Commission Combined Graduate Level Exam

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Question : Simplify the expression $\frac{s^2+t^2+2 s t-u^2}{s^2-t^2-2 t u-u^2}$, provided $(s+t+u) \neq 0$.

Option 1: $\frac{s+t-u}{s-t-u}$

Option 2: $\frac{s+t+u}{s-t+u}$

Option 3: $\frac{s-t-u}{s+t-u}$

Option 4: $\frac{s-t+u}{s+t+u}$

Team Careers360 26th Jan, 2024

Correct Answer: $\frac{s+t-u}{s-t-u}$


Solution : Given:
$\frac{(s^2+t^2+2 s t)-u^2}{s^2-(t^2+2 t u+u^2)}$
We know $\small a^2+b^2 +2ab = (a+b)^2$ and $\small a^2+b^2-2ab = (a-b)^2$
So, $\frac{(s^2+t^2+2 s t)-u^2}{s^2-(t^2+2 t u+u^2)}=\frac{(s+t)^2 - u^2}{s^2 - (t+u)^2}$
$=\frac{(s+t+u)(s+t-u)}{(s+t+u)(s-t-u)}$ [using $\small a^2 - b^2 = (a+b)(a-b)$]
$=\frac{s+t-u}{s-t-u}$
Hence, the correct answer is $\frac{s+t-u}{s-t-u}$.

17 Views

Question : Subsidiary alliance treaty was imposed on Awadh in ______.

Option 1: 1802

Option 2: 1803

Option 3: 1801

Option 4: 1804

Team Careers360 26th Jan, 2024

Correct Answer: 1801


Solution : The correct answer is 1801.

The subsidiary alliance treaty was imposed on Awadh in 1801. This was one of the measures taken by the British East India Company to extend its control and influence over various Indian princely states during the period of British

11 Views

Question : Depression formed due to deflating action of winds are called

Option 1: Playas

Option 2: Yardang

Option 3: Ventifacts

Option 4: Sand dunes

Team Careers360 26th Jan, 2024

Correct Answer: Yardang


Solution : The correct option is Yardang.

Yardangs are geological formations generated in dry or desert locations by the deflating effect of wind. They are the consequence of abrasive wind-blown particles selectively eroding soft or easily erodible sedimentary material. When prevailing winds erode weaker areas of the

26 Views

Question : The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $128 \frac{4}{7}$ degrees. The sum of the number of sides of polygons A and B is:

Option 1: 17

Option 2: 16

Option 3: 19

Option 4: 18

Team Careers360 27th Jan, 2024

Correct Answer: 16


Solution : The sum of the interior angle Polygon A = 1260°
If the sides of the polygon A are nA.
⇒ (nA – 2) × 180° = 1260°
⇒ (nA – 2) = $\frac{1260°}{180°}$ = 7
⇒ nA = (7 +

11 Views

Question : Directions: Select the related letter cluster from the given alternatives.
BDFH : YWUS :: JLNP : ?

Option 1: QOMK

Option 2: ACEF

Option 3: ZXUT

Option 4: UVWX

Team Careers360 26th Jan, 2024

Correct Answer: QOMK


Solution : Given:
BDFH : YWUS :: JLNP : ?

Like, BDFH : YWUS→(BY, DW, FU, HS) are opposite pairs.
Similarly, for JLNP : (?)→(JQ, LO, NM, PK) are opposite pairs.

Thus, JLNP is coded as QOMK. Hence, the first option is correct.

10 Views

Question : Directions: Select the option figure in which the given figure (X) is embedded as its part (rotation is NOT allowed).

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 27th Jan, 2024

Correct Answer:


Solution : Since the rotation is restricted. So, the embedded figure will have the same orientation as the main figure. By comparison of the question figure with all the option figures, the given question figure is embedded only in the second option figure.

Hence, the second option is

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