Staff Selection Commission Multi Tasking Staff Exam
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: $\frac{2}{3}$
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 $\frac{5}{3}$.
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: ${P}_1+{P}_2+{P}_3$
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
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%
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%.
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
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 =
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
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)2 =
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
Metal allergies can begin to act up (1)____ minutes of putting earrings in your ears. Some people can go a few hours before having to (2)_____ the earrings out, but some can barely stand the (3) _____enough to bother putting earrings in at all. This can be discouraging for those of us (4)____ love to wear earrings, but fortunately, hypoallergenic jewellery for (5)____ ears exists!
Question
Select the most appropriate option to fill in the blank No. 2.
Option 1: expel
Option 2: make
Option 3: take
Option 4: hand
Correct Answer: take
Solution : The third option is the correct choice.
The phrase having to take the earrings out is correct because it conveys the idea that some people can go a few hours before feeling the need to remove their earrings due to metal allergies.
Therefore, the correct
I wished I (1)_____ teach this to Dhri as well, but I feared it was too (2)_____. Already, he had started thinking like the men (3)_____ him, embracing the world of the court with open arms. And I? Each day I thought less and (4)_____ like the women around me. Each day I moved further from them, (5)_____ a dusky solitude.
Select the most appropriate option to fill in the blank number 1.
Option 1: could
Option 2: would
Option 3: can
Option 4: may
Correct Answer: could
Solution : The correct choice to fill in the blank is the first option.
Explanation: In this context, the speaker is expressing a desire or a wish to teach something to Dhri. The modal verb "could" was used to indicate ability or possibility in the past.
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
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.
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
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
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
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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