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Staff Selection Commission Combined Graduate Level Exam

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Question : A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work?

Option 1: 16 days

Option 2: 12 days

Option 3: 14 days

Option 4: 10 days

Team Careers360 16th Jan, 2024

Correct Answer: 12 days


Solution : A can complete a work in 18 days.
A's 1 day's work = $\frac{1}{18}$
B can complete it in 12 days.
B's 1 day's work = $\frac{1}{12}$
B's 4 days' work = $\frac{1}{12}×4=\frac{1}{3}$
Work left = $1-\frac{1}{3}=\frac{2}{3}$
A will finish the remaining work in

6 Views

Question : Directions: In the following question, select the related word from the given alternatives.
Poor : Destitute :: Rich : ?

Option 1: Powerful

Option 2: Affluent

Option 3: Meagre

Option 4: Strong

Team Careers360 17th Jan, 2024

Correct Answer: Affluent


Solution : Given:
Poor : Destitute :: Rich : ?

Destitute is the synonym of Poor.

Now, check the options for the synonym of rich –
First option: Powerful; Powerful is the synonym of strong.
Second option: Affluent; Affluent is the synonym of rich.
Third option: Meagre;

9 Views

Question : Which of the following hills is a part of the Western Ghats?

Option 1: Anaimalai Hills

Option 2: Khasi Hills

Option 3: Jaintia Hills

Option 4: Garo Hills

Team Careers360 24th Jan, 2024

Correct Answer: Anaimalai Hills


Solution : The correct answer is Anaimalai Hills.

The Anaimalai Hills are a mountain range in India's southern Western Ghats that runs through western Tamil Nadu and central Kerala. The name "Anaimalai" is derived from the Tamil word "Yaanai" which means "elephant" or from tribal languages.

14 Views

Question : The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings to increase his average of runs by 4?

Option 1: 116

Option 2: 114

Option 3: 170

Option 4: 76

Team Careers360 19th Jan, 2024

Correct Answer: 116


Solution : Given:
The average of runs of a cricket player of 20 innings was 32.
Total runs in 20 innings $ 20 × 32 = 640$
Let his score in the 21st inning be $x$.
According to the question,
$(32+4)×21-640=x$
$\therefore x = 756-640 = 116$

14 Views

Question : Which among the following is liquid non-metal?

Option 1: Mercury

Option 2: Bromine

Option 3: Water

Option 4: Alcohol

Team Careers360 25th Jan, 2024

Correct Answer: Bromine


Solution : The correct answer is Bromine.

Bromine is a halogen found in Group 17 in the periodic table. Its atomic number is 35. It is a brown coloured non-metal which exists in the liquid state at room temperature. it is a volatile liquid i.e. it changes

28 Views

Question : In the given figure, $\mathrm{O}$ is the centre of the circle and $\angle\mathrm{AOB}=130^{\circ}$. Find $\angle\mathrm{APB}$.

Option 1: $110^{\circ}$

Option 2: $115^{\circ}$

Option 3: $100^{\circ}$

Option 4: $95^{\circ}$

Team Careers360 17th Jan, 2024

Correct Answer: $115^{\circ}$


Solution :
Given:
$\angle{AOB}=130^{\circ}$
To find $\angle{APB}$
The arc AB subtends $\angle{AOB}$ at the centre and $\angle{AQB}$ at a point Q of the remaining parts of a circle.
$\therefore$ $\angle{AOB} = 2\angle{AQB}$
⇒ $\angle{AQB} = \frac{130^\circ}{2} = 65^\circ$
In a cyclic quadrilateral,
$\angle{APB}+\angle{AQB} = 180^\circ$
$\therefore$ $\angle{APB}

22 Views

Question : Directions: If it is Saturday, the 27th of September, what day will it be on the 27th of October of the same year?

Option 1: Thursday

Option 2: Sunday

Option 3: Friday

Option 4: Monday

Team Careers360 20th Jan, 2024

Correct Answer: Monday


Solution : Given:
The 27th of September is Saturday.

Remaining days in September = 3 days
Number of days in October = 27 days
Total number of days = 27 + 3 = 30 days
Now, divide the total number of days, i.e., 30 days by 7,

11 Views

Question : Direction: Select the missing number from the given alternatives.

  4    8    16
  32   64   128
  ?  512  1024

 

Option 1: 468

Option 2: 456

Option 3: 268

Option 4: 256

Team Careers360 18th Jan, 2024

Correct Answer: 256


Solution : Given: 

  4    8    16
  32   64   128
  ?  512  1024

In the second column, 23 = 8, 26 = 64, 29 = 512. Here, 3, 6, and 9 are in AP.

In the third column, 24 = 16, 27 =

9 Views

Question : Suppose $\triangle ABC$ be a right-angled triangle where $\angle A=90°$ and $AD\perp BC$. If the area of $\triangle ABC =40$ cm$^{2}$ and $\triangle ACD =10$ cm$^{2}$ and $\overline{AC}=9$ cm, then the length of $BC$ is:

Option 1: 12 cm

Option 2: 18 cm

Option 3: 4 cm

Option 4: 6 cm

Team Careers360 22nd Jan, 2024

Correct Answer: 18 cm


Solution : According to the question,
Given: AC = 9 cm

Area of $\triangle$ABC = 40 cm2
Area of $\triangle$ADC = 10 cm2
$\triangle$BAC ∼ $\triangle$ADC
⇒ $\frac{\text{Area of }\triangle ABC}{\text{Area of } \triangle ADC}=\frac{AB^{2}}{AD^{2}}=\frac{BC^{2}}{AC^{2}}$
(In similar triangles, the ratio of their area is

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