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Staff Selection Commission Combined Graduate Level Exam

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Question : Directions: Which of the following terms will replace the question mark (?) in the given series?
AJRX, CNXF, ERDN, ?, IZPD

Option 1: HVJV

Option 2: GVJV

Option 3: HVIT

Option 4: GVKV

Team Careers360 18th Jan, 2024

Correct Answer: GVJV


Solution : Given:
AJRX, CNXF, ERDN, ?, IZPD

In the above-given series, add 2, 4, 6 and 8 to the place value of the first, second, third and fourth letters of the given terms.
AJRX→A + 2 = C; J + 4 = N; R + 6

23 Views

Question : A person saves $33 \frac{1}{3}\%$ of his income. If the savings increase by $22\%$ and the expenditure increases by $10\%$, then the percentage increase in his income is:

Option 1: 18%

Option 2: 14%

Option 3: 16%

Option 4: 22%

Team Careers360 25th Jan, 2024

Correct Answer: 14%


Solution : Given:
Savings of the man = $33\tfrac{1}{3}\% = \frac{1}{3}$rd of income
Let the original income be $300x$
⇒ Original Savings = $100x$
So, Original Expenditure $=300x-100x = 200x$
According to the question,
New savings $=100x \times \frac{122}{100} = 122x$
New expenditure $=200x \times \frac{110}{100} =

14 Views

Question : Directions: After interchanging the given two numbers and two signs what will be the values of equations (I) and (II) respectively?
+ and –, 6 and 9
I. 6 – 5 × 9 + 8 ÷ 2
II. 6 – 4 + 9 × 5 ÷ 3

Option 1: 17, 5

Option 2: 81, 16

Option 3: 35, 3

Option 4: 54, 5

Team Careers360 19th Jan, 2024

Correct Answer: 35, 3


Solution : Given:
I. 6 – 5 × 9 + 8 ÷ 2
II. 6 – 4 + 9 × 5 ÷ 3

Let's solve each equation after interchanging signs and numbers according to the instructions.
On interchanging the signs and numbers in the first equation,

13 Views

Question : Which of the following Sultans of the Tughlaq Dynasty issued copper coins instead of silver ones?

Option 1: Ghiyasuddin Tughlaq

Option 2: Muhammad bin Tughluq

Option 3: Firuz Shah Tughlaq

Option 4: Abu Bakr Shah

Team Careers360 18th Jan, 2024

Correct Answer: Muhammad bin Tughluq


Solution : The correct answer is Muhammad bin Tughluq.

The Tughlaq Sultan who issued copper coins instead of silver ones was Muhammad bin Tughluq. During his reign, he introduced copper coins known as "tankas" to replace the silver coins. This decision, among other factors,

479 Views

Question : A group of men decided to do a job in 11 days but 16 men left the work after each day. The work, as a result, was completed in 15 days. How many men were there initially in the group?

Option 1: 400

Option 2: 480

Option 3: 420

Option 4: 450

Team Careers360 4th Jan, 2024

Correct Answer: 420


Solution : Given: A group of men decided to do a job in 11 days but 16 men left the work after each day.
Total time taken to complete the work = 15 days
Let there be $x$ number of men in the group with efficiency of

15 Views

Question : If $\sec\theta+\tan\theta=m\left (> 1 \right)$, then the value of $\sin\theta$ is $\left (0^{\circ} < \theta<90^{\circ} \right)$:

Option 1: $\frac{1-m^{2}}{1+m^{2}}$

Option 2: $\frac{m^{2}-1}{m^{2}+1}$

Option 3: $\frac{m^{2}+1}{m^{2}-1}$

Option 4: $\frac{1+m^{2}}{1-m^{2}}$

Team Careers360 9th Jan, 2024

Correct Answer: $\frac{m^{2}-1}{m^{2}+1}$


Solution : Given: $\sec\theta+\tan\theta=m$
⇒ $1+\sin\theta=m\cos\theta$
Squaring both sides,
$1+2\sin\theta+\sin^{2}\theta=m^{2}\cos^{2}\theta$
⇒ $1+2\sin\theta+\sin^{2}\theta=m^{2}(1-\sin^{2}\theta)$
⇒ $(1+m^{2})\sin^{2}\theta+2\sin\theta+(1-m^{2})=0$
⇒ $\sin\theta = \frac{-2\pm\sqrt{2^2-4(1+m^2)(1-m^2)}}{2(1+m^{2})}$
⇒ $\sin\theta =\frac{-2\pm 2m^2}{2(1+m^{2})}$
⇒ $\sin\theta =\frac{m^2-1^2}{(1+m^{2})}$ and $\sin\theta =-1$
⇒ $\sin\theta=\frac{m^{2}-1}{m^{2}+1},-1$
Hence, the correct answer is $\frac{m^{2}-1}{m^{2}+1}$.

11 Views

Question : If $x=\sqrt{1+\frac{\sqrt{3}}{2}}-\sqrt{1-\frac{\sqrt{3}}{2}}$, then the value of $\frac{\sqrt{3}-x}{\sqrt{3}+x}$ (corrected to two decimal places) is:

Option 1: 0.25

Option 2: 0.17

Option 3: 0.19

Option 4: 0.27

Team Careers360 22nd Jan, 2024

Correct Answer: 0.27


Solution : $x=\sqrt{1+\frac{\sqrt{3}}{2}}-\sqrt{1-\frac{\sqrt{3}}{2}}$
Squaring both sides, we get,
$⇒x^2=1+\frac{\sqrt{3}}{2}+1-\frac{\sqrt{3}}{2}-2(\sqrt{1-\frac{3}{4}})$
$⇒x^2=1$
$x=1$ or $x=-1$
Taking $x=1$, we get,
$⇒\frac{\sqrt{3}-x}{\sqrt{3}+x}$
$=\frac{\sqrt{3}-1}{\sqrt{3}+1}$
$=\frac{\sqrt{3}-1}{\sqrt{3}+1}\times\frac{\sqrt{3}-1}{\sqrt{3}+1}$
$=\frac{(\sqrt{3}-1)^2}{3-1}$
$=2-\sqrt{3}$
$=2-1.73$ [As the value of $\sqrt3=1.73$]
$=0.27$
Hence, the correct answer is 0.27.

53 Views

Question : Wheat worth Rs. 80 per kg and Rs. 50 per kg is mixed with a third variety in the ratio $1:2:3$. If the mixture is worth Rs.75 per kg, then the price of the third variety per kg will be equal to:

Option 1: Rs. 95

Option 2: Rs. 85

Option 3: Rs. 80

Option 4: Rs. 90

Team Careers360 14th Jan, 2024

Correct Answer: Rs. 90


Solution : Let the price of the third variety be Rs. $x$ per kg.
The ratio of varieties of rice in the mixture is $1 : 2 : 3$.
Let the amount of the first, second, and third varieties of rice in the mixture be 1

15 Views

Question : Select the most appropriate collocating word to fill in the blank.

The girl has ________ chances winning the match.

Option 1: bountiful

Option 2: high

Option 3: light

Option 4: hefty

Team Careers360 20th Jan, 2024

Correct Answer: high


Solution : The correct choice is the second option.

The word chances is often collocated with "high" to convey a likelihood or probability of success. In this context, the phrase "high chances" indicates a favourable or significant probability of winning the match.

The meanings of the

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