Staff Selection Commission Sub Inspector Exam
Question : The compound interest on a certain sum invested for 2 years at 10% per annum is INR 1,522.50, the interest being compounded yearly. The sum is:
Option 1: INR 7,250
Option 2: INR 7,200
Option 3: INR 7,500
Option 4: INR 7,000
Correct Answer: INR 7,250
Solution : Time, $n$ = 2 years Rate, $R$ = 10% Let $P$ be the sum. Compound interest, CI = INR 1,522.50 CI = $P(1+\frac{R}{100})^n - P$ ⇒ 1522.50 = $P(1+\frac{10}{100})^2 - P$ ⇒ 1522.50 = $P(1.1)^2 - P$ ⇒ 1522.50 = $1.21P- P$ ⇒ 1522.50
Question : Directions: In a code language, SOGGY is written as 78 and PLINTH is written as 85. How will DEVOTION be written in that language?
Option 1: 112
Option 2: 98
Option 3: 104
Option 4: 120
Correct Answer: 112
Solution : Given: SOGGY is written as 78 and PLINTH is written as 85.
Add the total number of letters to the sum of the place value of the letters of SOGGY and PLINT to obtain the required codes – SOGGY→(19 + 15 + 7 + 7
Question :
Directions: From among the given alternatives, select the one in which the set of numbers is most like the set of numbers question. Given set: (6, 30, 90)
Option 1: (6, 42, 86)
Option 2: (7, 42, 218)
Option 3: (6, 24, 70)
Option 4: (8, 48, 192)
Correct Answer: (8, 48, 192)
Solution : Given: (6, 30, 90)
Here, multiply the first two numbers and then divide by 2 to obtain the third number. (6, 30, 90)→(6 × 30) ÷ 2 = 180 ÷ 2 = 90 Let's check the options – First option: (6, 42,
Question : What is the IUPAC name of the organic compound depicted in the figure?
Option 1: 1-Methyl-1-Propylcyclohexane
Option 2: 1-Methyl-2-Propylcyclohexane
Option 3: 1-Methyl-4-Propylcyclohexane
Option 4: 1-Methyl-3-Propylcyclohexane
Correct Answer: 1-Methyl-3-Propylcyclohexane
Solution : The correct option is 1-Methyl-3-Propylcyclohexane.
1-Methyl-3-propylcyclohexane is an organic compound with the molecular formula C10H20. It is a cycloalkane, specifically a cyclohexane derivative, substituted with a methyl group (CH3) at position 1 and a propyl group (C3
Question : Which of the following pair of compound name – formulas is correct? I. Calcium oxide – CaO II. Aluminium oxide – Al2O3
Option 1: Only I
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only II
Correct Answer: Both I and II
Solution : The correct answer is Both I and II.
Question : A man bought 20 dozen eggs for Rs. 720. What should be the selling price of each egg if he wants to make a profit of 20%?
Option 1: Rs. 3.25
Option 2: Rs. 3.30
Option 3: Rs. 3.50
Option 4: Rs. 3.60
Correct Answer: Rs. 3.60
Solution : The cost price of 20 dozen eggs = Rs. 720 Cost of 1 egg = $\frac{720}{20×12}$ = 3 Selling price at 20% profit $=\frac{100+\text{profit %}}{100}$ × Cost price $=\frac{120}{100}×3 = 3.60$ Hence, the correct answer is Rs. 3.60.
Question : Directions: In the following question, a series is given with one or more alphabet missing. Choose the correct alternative from the given options. BE, DH, ?, HN, JQ
Option 1: FI
Option 2: FK
Option 3: GI
Option 4: GK
Correct Answer: FK
Solution : Given: BE, DH, ?, HN, JQ
In the given series, add 2 to the place value of the first letter and add 3 to the place value of the second letter of the previous term to obtain the next term – BE→B + 2 =
Question : A can do a certain piece of work in 2.4 times the number of days in which B and C together can do it. If A and B together can do the same piece of work in 27 days and C alone can do it in 75 days, then how many days will B take to do this piece of work alone?
Option 1: 54
Option 2: 48
Option 3: 45
Option 4: 42
Correct Answer: 45
Solution : (A + B)'s 1 day's work = $\frac{1}{27}$ C's 1 day's work = $\frac{1}{75}$ (A + B + C)'s 1 day's work = $\frac{1}{27}+\frac{1}{75} = \frac{34}{675}$ ---(1) A's 1 day's work = $\frac{1}{2.4}$(B + C)'s 1 day's work ---(2) $\frac{3.4}{2.4}$(B + C)'s 1 day's work
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 195
Option 2: 221
Option 3: 247
Option 4: 323
Correct Answer: 323
Solution : Let's check the given options – First option: 195; 195 ÷ 13 = 15 Second option: 221; 221 ÷ 13 = 17 Third option: 247; 247 ÷ 13 = 19 Fourth option: 323 is not divisible by 13.
So, all the numbers are divisible by
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. ACTION : TCANOI :: BOTTLE : ?
Option 1: TOBELT
Option 2: ELTTOB
Option 3: OBTTEL
Option 4: EBLOTT
Correct Answer: TOBELT
Solution : Given: ACTION : TCANOI :: BOTTLE : ?
Follow the pattern to obtain the required code –
Thus, ACTION is coded as TCANOI. Similarly, follow the same pattern for BOTTLE –
Thus, BOTTLE is coded as TOBELT. Hence, the first option is correct.
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