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Staff Selection Commission Multi Tasking Staff Exam

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19 Views

Question : If $A=\frac{2}{3}+\frac{4}{7}$ of $\frac{14}{12}$ and $B=\frac{5}{12}$ of $\frac{7}{15} \times \frac{36}{21}$, then what is the value of $A + B$?

Option 1: $\frac{5}{3}$

Option 2: $2$

Option 3: $\frac{4}{3}$

Option 4: $\frac{2}{3}$

Team Careers360 25th Jan, 2024

Correct Answer: $\frac{5}{3}$


Solution : $A=\frac{2}{3}+\frac{4}{7}$ of $\frac{14}{12}$
$=\frac{2}{3}+\frac{4}{7}\times\frac{14}{12}$
$=\frac{4}{3}$
$B=\frac{5}{12}$ of $\frac{7}{15} \times \frac{36}{21}$
$=\frac{5}{12}\times\frac{7}{15} \times \frac{36}{21}$
$=\frac{1}{3}$
$⇒ A + B =\frac{4}{3}+\frac{1}{3}= \frac{5}{3}$
Hence, the correct answer is $\frac{5}{3}$.

11 Views

Question : If ${P}_1, {P}_2$, and ${P}_3$ are three distinct prime numbers, then what is the least common multiple of ${P}_1, {P}_2$, and ${P}_3$ ?

Option 1: $P_1$

Option 2: $P_1 \times P_2 \times P_3$

Option 3: $P_2 \times P_3$

Option 4: ${P}_1+{P}_2+{P}_3$

Team Careers360 25th Jan, 2024

Correct Answer: $P_1 \times P_2 \times P_3$


Solution : The least common multiple (LCM) of three distinct prime numbers, P1, P2, and P3, is simply their product, $P_1 \times P_2 \times P_3$.
To see why, we can use the fact that the LCM of any set of numbers is the

12 Views

Question : If two successive discounts of 10% and 20% are offered, then what is the net discount?

Option 1: 22%

Option 2: 28%

Option 3: 25%

Option 4: 20%

Team Careers360 25th Jan, 2024

Correct Answer: 28%


Solution : Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts.
Here, $a =10,b=20$
So, Single equivalent discount = $10+20-\frac{10×20}{100}=28$%
Hence, the correct answer is 28%.

24 Views

Question : The selling price of an article is Rs. 817. If the loss percentage is 14%, then what is the cost price of the article?

Option 1: Rs. 850

Option 2: Rs. 950

Option 3: Rs. 880

Option 4: Rs. 900

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 950


Solution : Let's denote the cost price of the article as $C$.
The selling price ($SP$) is given as Rs. 817, and the loss percentage is 14%
Loss Percentage = $\frac{\text{Cost Price – Selling Price}}{\text{Cost Price}}×100$
Given that the loss percentage is 14%.
So, $14 =

20 Views

Question : Directions: In the following question, select the one which is different from the other three alternatives.

Option 1: 14 – 49 

Option 2: 16 – 64 

Option 3: 20 – 100

Option 4: 24 – 121

Team Careers360 24th Jan, 2024

Correct Answer: 24 – 121


Solution : Let's check the options –
First option: 14 – 49; (14 ÷ 2)2 = (7)2 = 49
Second option: 16 – 64; (16 ÷ 2)2 = (8)2 = 64
Third option: 20 – 100; (20 ÷ 2)=

10 Views

Question : Select the number that will come in place of the question mark (?) in the following mathematical statement.
$\left(9^2 \times 27+3^3 \times 7+?\right)^{\frac{1}{2}}=59$

Option 1: 1087

Option 2: 1105

Option 3: 1111

Option 4: 1090

Team Careers360 25th Jan, 2024

Correct Answer: 1105


Solution : $\left(9^2 \times 27+3^3 \times 7+?\right)^{\frac{1}{2}}=59$
⇒ $9^2 \times 27+3^3 \times 7+? = 59^2$
⇒ $81 \times 27+27 \times 7+? = 3481$
⇒ $2187+189+? = 3481$
⇒ $? = 3481-2187-189 = 1105$
Hence, the correct answer is 1105.

11 Views

Question : The sides of a triangle are 6 cm, 8 cm, and 10 cm. What is the area of the triangle?

Option 1: 20 cm2

Option 2: 28 cm2

Option 3: 24 cm2

Option 4: 16 cm2

Team Careers360 24th Jan, 2024

Correct Answer: 24 cm2


Solution : Given: Sides of the triangle = 6 cm, 8 cm, and 10 cm.
Using Heron's formula the area of a triangle, $A = \sqrt{s(s-a)(s-b)(s-c)}$
Where $s$ is the semi-perimeter of the triangle, which is half the perimeter of the triangle, and $a,b,c$ are

12 Views

Question : In the following question, out of the given four alternatives, select the alternative which best expresses the meaning of the Idiom Phase.
As easy as pie

Option 1: Tasteful

Option 2: Auspicious

Option 3: Very easy

Option 4: Difficult choice

Team Careers360 24th Jan, 2024

Correct Answer: Very easy


Solution : The correct option is the third option.

Explanation: The idiom is as easy as pie means something very easy or simple to do. 
So, the correct option that best expresses the meaning of the idiom is very easy because it directly reflects the

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