Staff Selection Commission Sub Inspector Exam
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 8, 10, 16, 28, ?
Option 1: 46
Option 2: 56
Option 3: 48
Option 4: 58
Correct Answer: 48
Solution : Given: 8, 10, 16, 28, ?
The pattern followed here is as follows –
So, 48 is the missing term of the series. Hence, the third option is correct.
Question : Directions: The bar graph shows the percentage distribution of the total expenditures of a company under various expenses heads during 2005. Study the bar graph and answer the following four question
The ratio of the total expenditure on infrastructure and transport to the total expenditure on taxes and interest on loans is:
Option 1: 5 : 4
Option 2: 13 : 11
Option 3: 9 : 7
Option 4: 8 : 7
Correct Answer: 13 : 11
Solution : Total expenditure on infrastructure and transport = 20 + 12.5 = 32.5% Total expenditure on taxes and interest on loans = 10 + 17.5 = 27.5% Required ratio = 32.5 : 27.5 = 13 : 11 Hence, the correct answer is 13 :
Question : Directions: In the following question, one or two statements are given followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any follows from the given statements. Statements: Some monkeys are dogs. All dogs are cats. Conclusions: I. Some monkeys are cats. II. No dog is a cat.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Either Conclusion I or Conclusion II follows
Option 4: Neither conclusion I nor II conclusion II follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some monkeys are cats – From the Venn diagram, it is evident that the circles representing monkeys and cats overlap each other
Question : A and B borrowed Rs. 3000 and Rs. 3200 respectively at the same rate of interest for $2\frac{1}{2}$ years. If B paid Rs. 40 more interest than A. Find the rate of interest.
Option 1: 5%
Option 2: 7%
Option 3: 8%
Option 4: 6%
Correct Answer: 8%
Solution : Given: Principal borrowed by A and B is Rs. 3000 and Rs. 3200. Rate = $R$% per annum Time = 2$\frac{1}{2}$ = $\frac{5}{2}$ years. Difference = 40 According to the question By using the formula of Simple Interest: SI = $\frac{\text{P×R×T}}{100}$, where $P$ is principal,
Question : If $1 + \sin^2 θ - 3\sinθ \cosθ = 0$, then the value of $\cotθ$ is:
Option 1: $0$
Option 2: $2$
Option 3: $\frac{1}{2}$
Option 4: $\frac{1}{3}$
Correct Answer: $2$
Solution : Given: $1 + \sin^2 θ - 3\sinθ \cosθ = 0$ ⇒ $\sin^2 θ + \cos^2 θ+ \sin^2 θ - 2\sinθ \cosθ- \sinθ \cosθ = 0$ [As $\sin^2 θ + \cos^2 θ = 1$] ⇒ $\sin^2 θ + \cos^2 θ- 2\sinθ \cosθ = \sinθ \cosθ- \sin^2
Question : Directions: In the following question, an increasing number of letters are skipped between adjacent letters in a series. Which of the following series fulfils this rule?
Option 1: BGMTA
Option 2: BGMSZ
Option 3: BGMTB
Option 4: BGLRY
Correct Answer: BGMTB
Solution : Let's check each option – First option: BGMTA; B + 5 = G; G + 6 = M; M + 7 = T; T + 7 = A Second option: BGMSZ; B + 5 = G; G + 6 = M; M + 6 =
Question : Directions: If – means +, × means ÷, ÷ means –, and + means ×, what will come in place of the question mark(?)? 32 + 36 × 4 – 21 ÷ 56 = ?
Option 1: 283
Option 2: 253
Option 3: 276
Option 4: 323
Correct Answer: 253
Solution : Given: 32 + 36 × 4 – 21 ÷ 56 = ?
On interchanging the sign as per the instruction, we get – = 32 × 36 ÷ 4 + 21 – 56 = 32 × 9 + 21 – 56 = 288 + 21
Question : Three successive discounts of 12%, 13% and 11% are equivalent to an approximate single discount of:
Option 1: 40%
Option 2: 32%
Option 3: 35%
Option 4: 42%
Correct Answer: 32%
Solution : Successive discount = $x + y -\frac{ (x × y)}{100}$ For 12% and 13%, equivalent discount % = $12 + 13 - \frac{(12 × 13)}{100}$ = 25 – 1.56 = 23.44% Again, for 23.44% and 11%, equivalent discount % = $23.44 + 11 - \frac{(23.44
Question : Directions: Which number will replace the question mark (?) in the following series? 57, ?, 62, 71, 87, 112, 148
Option 1: 61
Option 2: 60
Option 3: 58
Option 4: 59
Correct Answer: 58
Solution : Given: 57, ?, 62, 71, 87, 112, 148
Add the square of natural numbers in increasing order, to obtain the required missing number in the series – 57 + 12 = 57 + 1 = 58, 58 + 22 = 58 + 4
Question : The two parallel sides of a trapezium are 27 cm and 13 cm, respectively. If the height of the trapezium is 7 cm, then what is its area in m2?
Option 1: 1.4
Option 2: 0.014
Option 3: 140
Option 4: 0.14
Correct Answer: 0.014
Solution : Given: The two parallel sides of a trapezium are 27 cm and 13 cm. Height = 7 cm Area of a trapezium = $\frac{1}{2}$ × Sum of two parallel sides × Height = $\frac{1}{2}$ × (27 + 13) × 7 = $\frac{1}{2}$ × (40) ×
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