Staff Selection Commission Sub Inspector Exam
Question : The given pie chart represents the popularity of ice-cream flavours in the year 2005.
In 2005, if 10% of the 'other' category is mixed fruit flavour and 1570 people surveyed preferred mixed fruit flavour, then how many people were surveyed?
Option 1: 1,75,000
Option 2: 4,00,000
Option 3: 1,50,000
Option 4: 1,00,000
Correct Answer: 1,00,000
Solution : Number of people preferred mixed fruit flavour = 10% of other category 1570 = 10% of 15.7% of the total number of people surveyed Total number of people surveyed= $\frac{1570}{0.1×0.157}$ = 100000 Hence, the correct answer is 100000.
Question : Directions: The two given expressions on either side of the ‘=’ sign will have the same value if two terms on either side or the same side are interchanged. Find from the given option the correct terms to be interchanged. 5 × 2 + 8 ÷ 2 – 1 = 9 – 6 ÷ 3 + 6 × 3
Option 1: 8, 9
Option 2: 1, 9
Option 3: 5, 9
Option 4: 2, 6
Correct Answer: 5, 9
Solution : Given: 5 × 2 + 8 ÷ 2 – 1 = 9 – 6 ÷ 3 + 6 × 3
Interchanging the numbers according to the given options, to make both sides equal. Let's check each option – First option: 8, 9 5 ×
Question : Directions: Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: I. Some octopuses are fish. II. Some fish are frogs. Conclusions: I. Some frogs are fish. II. Some fish are octopuses.
Option 1: The only conclusion I follows
Option 2: Either conclusion I or II follows
Option 3: Only conclusion II follows
Option 4: Both conclusions follow
Correct Answer: Both conclusions follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): Some frogs are fish – From the given Venn diagram, and the statements, some fish are frogs. Therefore, some frogs are fish is
Question : Directions: Select the option in which the words share the same relationship as that shared by the given pair of words. Anemometer: Wind
Option 1: Barometer : Depth
Option 2: Seismograph : Earthquake
Option 3: Scale : Current
Option 4: Odometer : Pressure
Correct Answer: Seismograph : Earthquake
Solution : Given: Anemometer : Wind (This depicts the relation between an instrument or machine with the things or objects used to measure.)
Let's check each option – First option: Barometer : Depth; Barometer is used to measure the pressure, not depth. Second option: Seismograph
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 261, 232, 203, ?, 145, 116
Option 1: 174
Option 2: 188
Option 3: 192
Option 4: 186
Correct Answer: 174
Solution : Given: 261, 232, 203, ?, 145, 116
Subtract 29 in each number to get the required missing number in the series. 261 – 29 = 232, 232 – 29 = 203, 203 – 29 = 174, 174 – 29 = 145, 145 – 29 =
Question : Select the misspelt word.
Option 1: separate
Option 2: proceed
Option 3: existance
Option 4: dependent
Correct Answer: existance
Solution : The incorrect spelling is of the third option.
Explanation: The error lies in the usage of a instead of e. The correct form adheres to the standard spelling rules, where ence is used to denote the state or quality of a condition or existence.
Question : When simplified, the product $(2- \frac{1}{3}) (2-\frac{3}{5}) (2- \frac{5}{7}) .... (2- \frac{997}{999})$ equals:
Option 1: $\frac{5}{999}$
Option 2: $\frac{5}{3}$
Option 3: $\frac{1001}{999}$
Option 4: $\frac{1001}{3}$
Correct Answer: $\frac{1001}{3}$
Solution : Given: $(2- \frac{1}{3}) (2-\frac{3}{5}) (2- \frac{5}{7}) .... (2- \frac{997}{999})$ = $\frac{5}{3}×\frac{7}{5}×\frac{9}{7} .... ×\frac{1001}{999}$ = $\frac{1001}{3}$ Hence, the correct answer is $\frac{1001}{3}$.
Question : Directions: If 38 # 49 = 24 and 96 # 51 = 21, then 87 # 78 = ?
Option 1: 26
Option 2: 21
Option 3: 28
Option 4: 30
Correct Answer: 30
Solution : Given: 38 # 49 = 24 and 96 # 51 = 21, then 87 # 78 = ?
Add the digits of both the numbers in the L.H.S. to get the number given in the R.H.S. Like, 38 # 49 ⇒ (3 + 8) +
Question : Directions: The line chart given below represents the runs scored by Kohli and Sharma against 5 teams. What is the total number of runs scored by Kohli against 5 teams?
Option 1: 5000
Option 2: 4800
Option 3: 4700
Option 4: 4500
Correct Answer: 4800
Solution : Using the given line chart: Total runs scored by Kohli against 5 teams = 1000 + 1100 + 1400 + 500 + 800 = 4800 Hence, the correct answer is 4800.
Question : Directions: Which number will replace the question mark (?) in the following number series? 24, 61, 122, 213, ?
Option 1: 337
Option 2: 334
Option 3: 340
Option 4: 343
Correct Answer: 340
Solution : Given: 24, 61, 122, 213, ?
Subtract 3 from the cube of consecutive natural numbers starting from 3, to get the required missing number in the series – 33 – 3 = 27 – 3 = 24 43 – 3 = 64 –
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