Staff Selection Commission Sub Inspector Exam
Question : Directions: Arjun walks 40 m towards the south from his home, and then he turns left and walks 55 m. Then, he takes another left turn and walks 15 m. Then, he turns left again and walks 55 m. How far is he from his home now?
Option 1: 35 m
Option 2: 25 m
Option 3: 15 m
Option 4: 30 m
Correct Answer: 25 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the distance between the home (A) and to end point (E).
The distance between A to E = AB – BE (DC = BE) AE = 40
Question : Directions: In the given question, a sentence is given with a blank to be filled in with the appropriate words. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Losing that job was a blessing in disguise because she _______.
Option 1: got a much better job
Option 2: lost her house
Option 3: unemployed for years
Option 4: was able to shop
Correct Answer: got a much better job
Solution : The correct choice is the first option.
Explanation:
This is the most suitable option, as it implies that losing the previous job turned out to be a better event, as it led to a better job opportunity.
The other phrases
Question : A person bought 50 pens for Rs 50 each. He sold 40 of them at a loss of 5%. He wants to gain 10% on the whole. Then his gain percentage on the remaining pens should be:
Option 1: 15%
Option 2: 40%
Option 3: 50%
Option 4: 70%
Correct Answer: 70%
Solution : The cost price of the pen = Rs. 50 The cost price of 50 pens = Rs. 50 × 50 = Rs. 2,500 To gain 10% overall, all the pens should be sold at = $\frac{110}{100}\times2500$ = Rs. 2750 Now, 40 pens sold at 5%
Question : In which year was the first Industrial Policy based on the mixed economy principle announced in India?
Option 1: 1948
Option 2: 1962
Option 3: 1950
Option 4: 1959
Correct Answer: 1948
Solution : The correct answer is 1948.
In 1948, the first Industrial policy based on the mixed economy principle was announced in India. The policy demarcated the areas of operation of the public and private sectors in the country. This policy was presented in the Parliament by
Question : The fasting blood sugar level (F) and the postprandial blood sugar level (PP) of a patient were monitored for four weeks W1, W2, W3, W4, and the readings (in mg(dl) for the four weeks are as follows: F/PP: 170 / 220,150 / 180,120 / 150, 90 / 120. These have been presented through a bar graph. The normal range is considered to be: F/PP: 70-100 / 100-130. During which week was the fasting blood sugar level of the patient approximately 115.4% of the upper limit of normal PP blood sugar level?
Option 1: W3
Option 2: W1
Option 3: W2
Option 4: W4
Correct Answer: W2
Solution : Normal range of PP = 100 – 130 Now, according to the question, 115.4% of 130 = 150.2 So, week W2 is approximately 115.4% of normal PP blood sugar level. Hence, the correct answer is W2.
Question : The total surface area of a regular triangular pyramid with each edge of length 1 cm is:
Option 1: $4 \sqrt{3}$ cm2
Option 2: $\frac{4}{3} \sqrt{3}$ cm2
Option 3: $\sqrt{3}$ cm2
Option 4: $4$ cm2
Correct Answer: $\sqrt{3}$ cm2
Solution : A regular triangular pyramid, also known as a tetrahedron, has four equilateral triangles as its faces. The surface area of an equilateral triangle $ = \frac{\sqrt{3}}{4} a^2$ Since a regular tetrahedron has four faces. The total surface area is four times the surface
Question : Directions: In the following question, select the related word from the given alternatives. Spring : Summer :: ? : ?
Option 1: Sunday : Monday
Option 2: Thursday : Wednesday
Option 3: Tuesday : Friday
Option 4: Friday : Monday
Correct Answer: Sunday : Monday
Solution : Given: Spring : Summer :: ? : ? (This depicts the order of seasons like Summer comes immediately after Spring.)
Let's check the options – First option: Sunday : Monday; Monday comes immediately after Sunday. Second option: Thursday : Wednesday; Wednesday does not
Question : On a certain sum, the difference between compound interest and simple interest at 10% per annum for 2 years is Rs.250. The sum is _________.
Option 1: Rs.25,450
Option 2: Rs.26,550
Option 3: Rs.25,000
Option 4: Rs.26,000
Correct Answer: Rs.25,000
Solution : Difference between C.I and S.I for 2 years is given by $D=P(\frac{r}{100})^2$ $250=P(\frac{10}{100})^2$ ⇒$250=P(\frac{1}{100})$ ⇒ $P$ = Rs. 25,000 So, the sum is Rs. 25,000. Hence, the correct answer is Rs. 25,000.
Question : Directions: Which of the given letter clusters will replace the question mark (?) in the following series? BZTR, DBVT, FDXV, ?, JHBZ
Option 1: IFZY
Option 2: HFZX
Option 3: HFZY
Option 4: IFZX
Correct Answer: HFZX
Solution : Given: BZTR, DBVT, FDXV, ?, JHBZ
In the above-given series, add 2 to the place value of each letter of the previous letter cluster to obtain the next letter cluster. BZTR→B + 2 = D; Z + 2 = B; T + 2 = V;
Question : Three spherical balls of radius 2 cm, 4 cm, and 6 cm are melted to form a new spherical ball. In this process, there is a loss of 25% of the material. What is the radius (in cm) of the new ball?
Option 1: 6
Option 2: 8
Option 3: 12
Option 4: 16
Correct Answer: 6
Solution : Given: The radii of three spherical balls are 2 cm, 4cm, and 6cm. Percentage loss of material during melting = 25% Let the radius of the new ball be $R$ cm So, Percentage of usable material = 75% Volume of sphere = $\frac{4}{3}\pi r^3$ Total
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