Staff Selection Commission Sub Inspector Exam
Question : A person offers a 15% discount on his garments, and he offers a further discount of 10% on the reduced price to those customers who pay cash. What will a customer have to pay in cash for a jacket of Rs. 3,600?
Option 1: Rs. 3,240
Option 2: Rs. 3,366
Option 3: Rs. 2,754
Option 4: Rs. 3,060
Correct Answer: Rs. 2,754
Solution : Given: A person offers a 15% discount on his garments, and he offers a further discount of 10% on the reduced price to those customers who pay cash. Total discount = $15 + 10 - \frac{15×10}{100}$ = 23.5% Now, selling price = marked price
Question : A person sold an article at a loss of 16%. Had he sold it for Rs. 660 more, he would have gained 8%. If the article is sold at Rs. 3,080, then how much profit percentage is gained?
Option 1: 10%
Option 2: 15%
Option 3: 20%
Option 4: 12%
Correct Answer: 12%
Solution : Let the cost price of the article as C. From the problem, The article was sold at a loss of 16%. The first selling price = C – 0.16C = C(1 – 0.16) Had the article been sold for Rs. 660 more, there would have
Question : What is the radius of a normal cylinder whose height is 21 cm and curved surface area is 1386 cm2?
Option 1: 10.5 cm
Option 2: 3.5 cm
Option 3: 7 cm
Option 4: 10 cm
Correct Answer: 10.5 cm
Solution : Given: Height($h$) = 21 cm Let the radius be $r$. Curved surface area = 1386 cm2 ⇒ $1386=2\pi r h$ ⇒ $1386=2\times\frac{22}{7}\times21\times r $ ⇒ $r=\frac{1386\times 7}{2\times 22\times21}$ ⇒ $r = 10.5~\text{cm}$ Hence, the correct answer is 10.5 cm.
Question : Directions: In a certain code language, GRANTED is written as HPBLUCE and FRAGMENT is written as GPBENCOR. How will IGNORE be written in that language?
Option 1: JFMPSC
Option 2: JIOQTG
Option 3: KHLNPC
Option 4: JEOMSC
Correct Answer: JEOMSC
Solution : Given: GRANTED is written as HPBLUCE and FRAGMENT is written as GPBENCOR.
Add 1 and subtract 2 alternately from the place value of the letters of GRANTED to obtain the required code – G + 1 = H, R – 2 = P, A +
Question : The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is:
Option 1: 18
Option 2: 60
Option 3: 38
Option 4: 68
Correct Answer: 60
Solution : The given number is 36798. The divisor is 78. Divide 36798 by 78 and get the remainder. Remainder = $\frac{36798}{78}$ → 60 So, the least number to be subtracted from 36798 to get a number exactly divisible by 78 is 60. Hence, the correct answer
Question : $\triangle$ ABC is a right-angled triangle with AB = 6 cm, BC = 8 cm. O is the incentre of the triangle. The radius of the in-circle is:
Option 1: 3 cm
Option 2: 4 cm
Option 3: 2 cm
Option 4: 5 cm
Correct Answer: 2 cm
Solution : AB = 6 cm, BC = 8 cm By Pythagoras theorem, $AC^2=AB^2+BC^2$ $AC = \sqrt{6^2+8^2}$ = $\sqrt{36+64}$ = $\sqrt{100}$ = $10$ cm $OP = OQ = OR = r$ Since tangents drawn from a point to the circle are equal, $RB = BP =
Question : Which is the largest six-digit number, which when divided by 12, 15, 20, 24 and 30, leaves the remainder 8, 11, 16, 20 and 26 respectively.
Option 1: 999956
Option 2: 999982
Option 3: 999960
Option 4: 999964
Correct Answer: 999956
Solution : LCM of 12, 15, 20, 24, 30 is 120 As we know, (12 – 8) = (15 – 11) = (20 – 16) = (24 – 20) = (30 – 26) = 4 As we know, The largest 6-digit number = 999999 ⇒ Number divisible
Question : Directions: Neha departs from her home and walks 51 m towards the south and then turns left and walks 44 m. Now she turns left again and walks 83 m. How far is she from a pole that is exactly 32 m north of her home now? (Assuming that all turns are 90° turns only.)
Option 1: 14 m
Option 2: 44 m
Option 3: 7 m
Option 4: 39 m
Correct Answer: 44 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and D is the endpoint. Thus, the distance between the pole and Neha's endpoint is 44 m.
So, Neha is 44 m away from the pole.
Question : The production of AB company increased by 10% after one year, and in the next year, it increased by 22%. In the third year, it increased by 5%. What overall change (in %) has been there in the production in three years from the original production?
Option 1: 41.5%
Option 2: 40.9%
Option 3: 41.2%
Option 4: 42.8%
Correct Answer: 40.9%
Solution : Let the initial Production be 100. The production of AB company after 1 year with a 10% increase = 110 The production of AB company after 2 years with a 22% increase = $110+\frac{22}{100}\times 110=134.2$ The production of AB company after 3 years with a
Question : Directions: The given pie chart shows the cars sold by a company in 2015–2016 of different models.
If the number of cars in model D is 40,500, then how many more cars in model E are sold than those in model A?
Option 1: 8,100
Option 2: 16,200
Option 3: 24,600
Option 4: 13,500
Correct Answer: 13,500
Solution : Number of cars sold in model D = $40,500$ $90^{\circ}$ ⇒ $40,500$ $1^{\circ}$ ⇒ $\frac{40500}{90}$ = $450$ Number of cars sold in model E = $75^{\circ}$ Number of cars sold in model A = $45^{\circ}$ Number of cars sold in model E is more than
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