Staff Selection Commission Sub Inspector Exam
Question : If the price item is increased by 70% then allow discounts of 5% and 20% on this marked price. If the price is paid in cash and an additional discount of 20% is allowed then what is his gain percentage?
Option 1: 2.25%
Option 2: 4.36%
Option 3: 3.25%
Option 4: 3.36%
Correct Answer: 3.36%
Solution : Let the initial price be 100. Initial price increase by 70% ⇒ New price = 100 + (70% of 100) = 170 Discounts of 5% and 20% ⇒ Discounted Price = 170 – (5% of 170) - 20% of [170 – (5% of 170)] =
Question : Motorcyclist P started his journey at a speed of 30 km/h. After 30 minutes, motorcyclist Q started from the same place but with a speed of 40 km/h. How much time (in hours) will Q take to overtake P?
Option 1: $1$
Option 2: $\frac{3}{2}$
Option 3: $\frac{3}{8}$
Option 4: $2$
Correct Answer: $\frac{3}{2}$
Solution : Relative speed in the same direction = (40 – 30) = 10 km/hr Distance covered by P in 30 minutes, = $(30×\frac{1}{2})=15$ km The time it will take Q to overtake P = $\frac{15}{10}$ = $\frac{3}{2}$ hr Hence, the correct answer is $\frac{3}{2}$.
Question : A tangent is drawn from an external point 'A' to a circle of radius 12 cm. If the length of the tangent is 5 cm, then the distance from the centre of the circle to point 'A' is:
Option 1: 17 cm
Option 2: 9 cm
Option 3: 7 cm
Option 4: 13 cm
Correct Answer: 13 cm
Solution :
A tangent at any point of a circle is perpendicular to the radius through the point of contact. According to the Pythagorean theorem, we have: $OA^2 = OP^2 + PA^2$ Substituting the given values, we get: $OA^2 = 12^2 + 5^2 = 144 +
Question : Select the most appropriate synonym of the given word. Dreadful
Option 1: Feeble
Option 2: Terrible
Option 3: Auspicious
Option 4: Propitious
Correct Answer: Terrible
Solution : The second option is the correct choice.
Dreadful refers to things that are extremely bad, unpleasant, or shocking. Terrible is the most suitable synonym for dreadful. Both terms convey a sense of extreme fear, horror, or something causing great distress.
The meanings of the other
Question : Directions: Pointing to a portrait of a lady, Kanika said, "Her daughter-in-law is the wife of my son's grandfather's only son." How is the lady in the portrait related to Kanilka?
Option 1: Mother-in-law
Option 2: Mother
Option 3: Paternal aunt
Option 4: Sister-in-law
Correct Answer: Mother-in-law
Solution : Following the instructions of the question, the family tree will be –
Here, the quadrilateral represents the male and the circular figure represents the female in the figure.
So, the lady in the portrait is the mother-in-law of Kanika. Hence, the first option is correct.
Question : Directions: The given Venn diagram best represents the relationship between which set of classes, given in the options.
Option 1: Sisters, Females, Mothers
Option 2: Males, Fathers, Sons
Option 3: Fathers, Males, Doctors
Option 4: Engineers, Brothers, Males
Correct Answer: Males, Fathers, Sons
Solution : Let's check each option – First option: Sisters, Females, Mothers; All sisters and all mothers are females and some mothers can be sisters so there is some common region between females and sisters. Therefore, this is incorrect. Second option: Males, Fathers, Sons; All
Question : As per the estimates of the Union Budget 2019-20, how much investment is needed in Railway Infrastructure during 2018-2030?
Option 1: INR 40 lakh crore
Option 2: INR 50 lakh crore
Option 3: INR 60 lakh crore
Option 4: INR 30 lakh crore
Correct Answer: INR 50 lakh crore
Solution : The correct answer is INR 50 lakh crore.
According to the estimates of the National Budget 2019–20, INR 50 lakh crore is needed for railway infrastructure during 2018–2030. Railways got a budgetary allocation of Rs. 65837 crore, and Rs. 7255 crore
Question : When the price of sugar increased by 28%, a family reduced its consumption per month such that the expenditure on sugar was only 12% more than the earlier one. If the family consumed 18.4 kg of sugar per month earlier, then what is its new consumption of sugar per month?
Option 1: 15.75 kg
Option 2: 16.1 kg
Option 3: 15.8 kg
Option 4: 16.6 kg
Correct Answer: 16.1 kg
Solution : Let the price of 1 kg sugar be 100. So, total expenditure before price hike = 18.4 × 100 = 1840 New price = 100 + 28 = 128 New expenditure $=\frac{100+12}{100}×1840=\frac{112}{100}×1840=2060.8$ So, the new quantity of sugar expenditure = $\frac{2060.8}{128}=16.1$ kg Hence, the
Question : A hemispherical bowl of internal diameter 18 cm contains water. This water is to be filled in cylindrical bottles of diameter 6 cm and height 3 cm. The number of bottles required to empty the bowl is:
Option 1: 3
Option 2: 9
Option 3: 6
Option 4: 18
Correct Answer: 18
Solution : The volume of a hemisphere is $\frac{2}{3}\pi r^3$. Given that the diameter of the hemisphere is 18 cm, the radius$(r)$ is 9 cm. $\therefore$ The volume of the hemisphere = $\frac{2}{3}\pi (9)^3 = 486 \pi \text{ cm}^3$ The volume of a cylinder is $\pi r^2h$.
Question : Which of the following is not a function of calcium in our body?
Option 1: It plays an important role in blood clotting.
Option 2: It helps the digestive system.
Option 3: It is associated with healthy bones and teeth.
Option 4: It helps muscles to contract.
Correct Answer: It helps the digestive system.
Solution : The correct option is It helps the digestive system.
Calcium does not directly play a role in aiding the digestive system. Instead, calcium primarily functions in the body for tasks such as bone and tooth formation, blood clotting, muscle function,
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