Staff Selection Commission Multi Tasking Staff Exam
Question : In a box, the ratio of the number of green stones to black stones is 5 : 8. If there are 24 black stones, then how many total stones are in the box?
Option 1: 13
Option 2: 39
Option 3: 26
Option 4: 24
Correct Answer: 39
Solution : Let the number of green stones as 5$x$ and the number of black stones as 8$x$, where $x$ is a positive constant. Number of black stones = 24 ⇒ 8$x$ = 24 ⇒ $x$ = $\frac{24}{8}$ = 3 Total stones = 5$x$ + 8$x$ =
Question : Directions: In a certain code language, APPALL is coded as JLYPNA. What is the code for APPEND in that code language?
Option 1: BNCPNA
Option 2: BCNPNA
Option 3: BNCPAN
Option 4: BCNNPA
Correct Answer: BNCPNA
Solution : Given: APPALL is coded as JLYPNA.
Subtract 2 from the positional values of the second, fourth, and sixth letter of APPALL as shown, to obtain the required code –
Thus, APPALL is coded as JLYPNA. Similarly, follow the same pattern for APPEND –
So, APPEND
Question : Fill in the blank with the most appropriate option.
They bought ___________tickets instead from a sleepy-looking guard.
Option 1: there
Option 2: dare
Option 3: their
Option 4: dire
Correct Answer: their
Solution : The correct choice is the third option.
The correct option is their. It is a possessive pronoun indicating ownership.
The meanings of the other options are as follows:
Question : The polymer obtained by the condensation of hexamethylene diamine and adipic acid is:
Option 1: Nylon 66
Option 2: Terylene
Option 3: Nylon
Option 4: Bakelite
Correct Answer: Nylon 66
Solution : The correct option is Nylon 66.
The polymer formed by the reaction of hexamethylene diamine with adipic acid is known as "Nylon 66". It is a synthetic polyamide made up of repeating units produced from these two monomers. Nylon 66 is well-known for
Question : A sentence has been given with a blank to be filled with an appropriate option. Choose the correct alternative.
______ months later, Steve returned to New York to look for a job.
Option 1: Few
Option 2: A few
Option 3: The few
Option 4: A little
Correct Answer: A few
Solution : The second option is the correct choice.
The phrase a few is the correct choice in this context. It indicates a small, indefinite number of months and is appropriate for expressing the idea that Steve returned to New York after a short period of
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 14, 15, 30, 33, 132, 137, 822, ?
Option 1: 899
Option 2: 829
Option 3: 819
Option 4: 982
Correct Answer: 829
Solution : Given: 14, 15, 30, 33, 132, 137, 822, ?
The pattern follows: + 1; × 2; + 3; × 4; + 5; × 6; + 7. 14 + 1 = 15; 15 × 2 = 30; 30 + 3 = 33; 33 × 4 =
Question : A hollow spherical shell is made of a metal of density 2.5 g/cm³. If the external and the internal radii of the given sphere are 35 cm and 14 cm, respectively, find the mass of the shell. [Use $\pi=\frac{22}{7}$]
Option 1: 398567 g
Option 2: 324120 g
Option 3: 440040 g
Option 4: 420420 g
Correct Answer: 420420 g
Solution : R = outer Radius r = inner radius Volume of the hollow sphere = $\frac{4}{3}\pi$(R3 – r3) = $\frac{4}{3}\pi$(353 – 143) ⇒ $\frac{\text{Mass}}{\text{Density}}$ = $\frac{4}{3}$ × $\frac{22}{7}$ × (42875 – 2744) ⇒ Mass = 2.5 × $\frac{4}{3}$
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (64, 8, 16) (40, 20, 4)
Option 1: (56, 14, 8)
Option 2: (100, 50, 8)
Option 3: (120, 100, 5)
Option 4: (54, 9,14)
Correct Answer: (56, 14, 8)
Solution : Given: (64, 8, 16); (40, 20, 4)
Multiply the second number with half of the third number, to get the first number – ⇒ (64, 8, 16)→8 × (16 ÷ 2) = 64 ⇒ (40, 20, 4)→20 × (4 ÷ 2) = 40
Question : If INR 1,000 is divided into three parts in the ratio 2 : 3 : 5, find the value of the smallest part.
Option 1: INR 100
Option 2: INR 300
Option 3: INR 200
Option 4: INR 400
Correct Answer: INR 200
Solution : Total amount = INR 1,000 Ratio = 2 : 3 : 5 Value of the smallest part $=\frac{2}{2 + 3 + 5} \times 1000= 200$ Hence, the correct answer is INR 200.
Question : Directions: Select the option figure, that will replace the question mark (?) in the figure given below to complete the pattern.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Here, the geometrical shapes given in the opposite box are changed from shaded to unshaded and unshaded to shaded. On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the second option is correct.
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