Staff Selection Commission Sub Inspector Exam
Question : The two stations are 120 km apart on a straight line. A train starts from station A at 8 a.m. and moves towards station B at 20 km/hr, and another train starts from station B at 9 a.m. and travels towards station A at a speed of 30 km/hr. At what time will they meet?
Option 1: 10:30 a.m.
Option 2: 10:00 a.m.
Option 3: 11:00 a.m.
Option 4: 11:30 a.m.
Correct Answer: 11:00 a.m.
Solution : The first train travels for one hour before the second train starts, so it covers (20 × 1) = 20 km The remaining distance between the two trains = (120 – 20) = 100 km When both trains are moving, their combined speed =
Question : Directions: In a certain code language, GRAPE is coded as 21-54-3-48-15, and MELON is coded as 39-15-36-45-42. How will PEACH be coded in the same language?
Option 1: 48-15-3-8-27
Option 2: 48-15-3-9-24
Option 3: 49-15-3-9-27
Option 4: 45-16-3-9-24
Correct Answer: 48-15-3-9-24
Solution : Given: GRAPE is coded as 21-54-3-48-15, and MELON is coded as 39-15-36-45-42.
Multiply the positional value of the letters GRAPE by 3, to obtain the required code – G→7 × 3 = 21; R→18 × 3 = 54; A→1 × 3 = 3; P→16 ×
Question : Directions: In the following question, select the number that can be placed at the sign of the question mark (?) from the given alternatives.
Option 1: 13
Option 2: 14
Option 3: 15
Option 4: 16
Correct Answer: 15
Solution : In each figure, starting from the top left corner add 3 in each number in a clockwise direction, to get the required missing number.
In figure one: 1 + 3 = 4; 4 + 3 = 7; 7 + 3 = 10 In figure two:
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: 68
Option 2: 85
Option 3: 153
Option 4: 174
Correct Answer: 174
Solution : Let's check the options – First option: 68; 68 is a multiple of 17. Second option: 85; 85 is a multiple of 17. Third option: 153; 153 is a multiple of 17. Fourth option: 174; 174 is not a multiple of 17.
So, the fourth
Question : The radius of a wheel is 25 cm. How many rounds it will take to complete 11 km?
Option 1: 5000
Option 2: 6000
Option 3: 7000
Option 4: 4000
Correct Answer: 7000
Solution : Distance to be completed = 11 km = 11000 m Radius, $r$ = 25 cm = 0.25 m Distance covered in one round = $2\pi r = 2 × \pi × 0.25$ m = $0.50\pi$ m $\therefore$ Number of rounds required to cover 11 km
Question : Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/hr. Find the volume of water flowing through the canal in 30 minutes. (take $\pi=\frac{22}{7}$)
Option 1: 3,76,500 m3
Option 2: 3,56,500 m3
Option 3: 3,66,500 m3
Option 4: 3,46,500 m3
Correct Answer: 3,46,500 m3
Solution : Given: Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/hr. The internal radius of the cylinder = $\frac{7}{2}$ m Speed of water = 18 km = 18 × $\frac{5}{18}$ = 5 m/s
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: Some apples are oranges. All oranges are fruits. Conclusions: (I) All apples are fruits. (II) Some fruits are oranges.
Option 1: Neither Conclusion I nor II follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): All apples are fruits – From the Venn diagram, it is evident that the circles representing apples and fruits intersect and have
Question : If the length of a rectangular plot of land is increased by 5% and the breadth is decreased by 10%, how much will its area increase or decrease?
Option 1: 6.5% increase
Option 2: 5.5% decrease
Option 3: 5.5% increase
Option 4: 6.5% decrease
Correct Answer: 5.5% decrease
Solution : Let $l$ be the length and $b$ be the breadth of the rectangle. Area of a rectangle = Length $\times$ Breadth Old area $=lb$ Length is increased by 5%. $\therefore$ New length $=l+\frac{5}{100}l = 1.05l$ Also, Breadth is decreased by 10%. $\therefore$ New breadth
Question : A vendor marked the selling price of a table at INR 5,670 after adding 35% profit to its cost price. Since the sales were very low at this price level, he decided to sell the table with a 12% profit. Find the new selling price (in INR).
Option 1: 4,810
Option 2: 4,750
Option 3: 4,704
Option 4: 4,608
Correct Answer: 4,704
Solution : Let the cost price be $100x$. Mark price after adding 35% in cost price = $135x$ Given: Mark price = INR 5670 According to the question, $135x=5670$ ⇒ $x=42$ $\therefore$ Cost price = $100x=100\times42=4200$ To get 12% profit, Selling price = $\frac{\text{100 + profit%}}{\text{100}}\times$ cost
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Virat Kohli ____ another feather to his cap by his wonderful performance in the T20 World Cup.
Option 1: took
Option 2: created
Option 3: added
Option 4: captured
Correct Answer: added
Solution : The third option is the correct choice.
Added a feather means to achieve something to be proud of, which fits perfectly in the sentence.
Therefore, the complete sentence is: "Virat Kohli added another feather to his cap by his wonderful performance in the T20 World
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