Staff Selection Commission Multi Tasking Staff Exam
Question : In an isosceles triangle, if the ratio of the equal side and unequal side is 5 : 7 and its perimeter is 34 cm, then what is the length of the equal side?
Option 1: 14 cm
Option 2: 18 cm
Option 3: 10 cm
Option 4: 34 cm
Correct Answer: 10 cm
Solution : Let the ratio of equal side and unequal side be $5x$ and $7x$. According to the question, $5x+5x+7x=34$ ⇒ $17x=34$ ⇒ $x=2$ The length of equal sides = $5x=5\times2=10$ Hence, the correct answer is 10 cm.
Question : What is the average of first 10 natural numbers?
Option 1: 5.5
Option 2: 10
Option 3: 5
Option 4: 10.5
Correct Answer: 5.5
Solution : Average = $\frac{\text{Sum of observations}}{\text{number of observations}}$ Average of first $n$ natural numbers = $\frac{n + 1}{2}$ Here $n$ = 10 ⇒ $\frac{10 + 1}{2}=\frac{11}{2}= 5.5$ Hence, the correct answer is 5.5.
Question : Directions: Select the option that is related to the third letter cluster in the same way as the second letter cluster is related to the first letter cluster. ROBY : TJDT :: GAIN : ?
Option 1: IVKI
Option 2: IUKJ
Option 3: IUKI
Option 4: IVKJ
Correct Answer: IVKI
Solution : Given: ROBY : TJDT :: GAIN : ?
Add 2 and subtract 5 alternately to the place value of the ROBY, to obtain the next term – Like, ROBY : TJDT→R + 2 = T; O – 5 = J; B + 2 = D;
Question : Which Five Year Plan duration was of four years only?
Option 1: Third
Option 2: Fourth
Option 3: Fifth
Option 4: Seventh
Correct Answer: Fifth
Solution : The correct option is the Fifth.
The fifth five-year plan was rolled up for four years only. Justice, employment and ending poverty received significant attention in the Fifth Five-Year Plan. In 1978, the plan was rejected by the newly-elected Morarji Desai administration. "Garibi Hatao" a
Question : What is the value of $\frac{132}{11} \times \frac{13}{12} \div \frac{169}{14}-\frac{1}{13}?$
Option 1: 5
Option 2: 6
Option 3: 3
Option 4: 1
Correct Answer: 1
Solution : According to the question ⇒ $\frac{\frac{132}{11}×\frac{13}{12}}{\frac{169}{14}} – \frac{1}{13}$ = $\frac{12 × \frac{13}{12}}{\frac{169}{14}} – \frac{1}{13}$ = ${\frac{13}{\frac{169}{14}}} – {\frac{1}{13}}$ = $\frac{14}{13} – \frac{1}{13}$ = $\frac{13}{13}$ = 1 Hence, the correct answer is 1.
Question : Directions: The bar chart given below shows the revenue (in crore) of company A for the years 2008 to 2015.
What is the percentage increase in revenue in the year 2010 in comparison to the previous year?
Option 1: 10%
Option 2: 12%
Option 3: 20%
Option 4: 25%
Correct Answer: 10%
Solution : The percentage increase in revenue in the year 2010 in comparison to the previous year = $(\frac{154–140}{140})×100$% [using Percentage Increase = $\frac{\text{final value – initial value}}{\text{initial value}}$×100] = 10% Hence, the correct answer is 10%.
Question : Directions: In a certain code language, COAT is written as XLZG. How will PLAY be written in that language?
Option 1: KZOB
Option 2: KOZB
Option 3: JOZB
Option 4: KPZB
Correct Answer: KOZB
Solution : Given: COAT is written as XLZG.
The opposite letter pairs of the letters of COAT – C→X; O→L; A→Z; T→G Thus, COAT is coded as XLZG. Similarly, follow the same pattern for PLAY – P→K; L→O; A→Z; Y→B
So, PLAY is coded as KOZB. Hence,
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error"
We shall wait (1) / till you (2) / will finish your lunch. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The error lies in the third part of the sentence.
You will finish should be replaced with you finish to make the sentence grammatically accurate. "Till" is followed by the present tense to refer to the future. This makes the sentence error-free and conveys the
Question : Directions: In the following question, select the related number from the given alternatives. 8 : 56 :: 9 : ?
Option 1: 10
Option 2: 63
Option 3: 7
Option 4: 9
Correct Answer: 63
Solution : Given: 8 : 56 :: 9 : ?
The pattern followed here is – 8 × 7 = 56 Similarly, 9 × 7 = 63
Hence, the second option is correct.
Question : Directions: Select the option figure that will replace the question mark (?) in the figure given below to complete the pattern (Rotation is not allowed).
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : On comparing the question figure and all the answer figures, the following figure will combine and make the complete pattern –
Hence, the first option is correct.
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