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Staff Selection Commission Sub Inspector Exam

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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

Team Careers360 22nd Jan, 2024

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

17 Views

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%

Team Careers360 24th Jan, 2024

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

16 Views

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

Team Careers360 22nd Jan, 2024

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.

4 Views

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

Team Careers360 20th Jan, 2024

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 +

29 Views

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

Team Careers360 24th Jan, 2024

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

21 Views

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

Team Careers360 23rd Jan, 2024

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 =

294 Views

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

Team Careers360 22nd Jan, 2024

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

119 Views

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

Team Careers360 25th Jan, 2024

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.

60 Views

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%

Team Careers360 23rd Jan, 2024

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

23 Views

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

Team Careers360 21st Jan, 2024

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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