Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Study the bar diagram and answer the question. Total number of boys and girls in five different departments of a college.
The respective ratio of the number of girls from the Philosophy department to the number of girls from the Psychology department is:
Option 1: 7 : 11
Option 2: 11 : 7
Option 3: 7 : 10
Option 4: 6 : 11
Correct Answer: 7 : 10
Solution : From the given graph, The number of girls from the Philosophy department = 140 The number of girls from the Psychology department = 200 The required ratio = The number of girls from the Philosophy department : The number of girls from the
Question : Two trains start at the same time from A and B and proceed toward each other at speeds of 75 km/hr and 50 km/hr respectively. When both meet at a point in between, one train was found to have travelled 175 km more than the other. Find the distance between A and B.
Option 1: 875 km
Option 2: 785 km
Option 3: 758 km
Option 4: 857 km
Correct Answer: 875 km
Solution : Let the trains meet after t hours. Speed of train A = 75 km/hr Speed of train B = 50 km/hr Distance covered by train A = 75 × t = 75t Distance covered by train B = 50 × t = 50t Distance
Question : If the altitude of a triangle is 8 cm and its corresponding base is 12 cm, then the area of the triangle will be:
Option 1: 96 cm2
Option 2: 48 cm2
Option 3: 84 cm2
Option 4: 24 cm2
Correct Answer: 48 cm2
Solution : The area of a triangle, $\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$ Given that the base of the triangle is 12 cm and the height (or the altitude) is 8 cm. $\text{Area} = \frac{1}{2} \times 12 \, \text{cm} \times 8 \, \text{cm} =
Question : Shri Bismillah Khan was a famous player of musical instrument ______.
Option 1: Tabla
Option 2: Drum
Option 3: Shehnai
Option 4: Veena
Correct Answer: Shehnai
Solution : The correct option is Shehnai.
Shri Bismillah Khan was a renowned Indian musician and master player of the shehnai, a traditional wind instrument. He was widely celebrated for his contributions to classical music and received numerous accolades, including the Bharat Ratna (2001), India's highest
Question : Parts of a sentence are given below in jumbled order. Arrange the parts in the correct order to form a meaningful sentence.
(P) and the challenges faced in its
(Q) the report discusses
(R) the state of renewable energy
(S) implementation along with potential solution
Option 1: QSRP
Option 2: QRPS
Option 3: RQPS
Option 4: PQRS
Correct Answer: QRPS
Solution : The correct choice is the second option: QRPS.
Explanation: The sentence begins with part Q, which introduces the action of the report. Part R logically follows as it provides the topic under discussion. Parts P and S then provide additional information about
Question : In which year did the Central Statistical Office adopt the GVA concept in India?
Option 1: 2012
Option 2: 2015
Option 3: 1993
Option 4: 2010
Correct Answer: 2015
Solution : The correct option is - 2015
In order to more accurately estimate economic activity, the Central Statistics Office (CSO) abandoned GDP at factor cost in 2015 and switched to the global practice of GDP at market price and the Gross Value Addition (GVA) measure. An
Question : $\angle A$ of $\triangle ABC$ is a right angle. $AD$ is perpendicular on $BC$. If $BC= 14$ cm and $BD= 5$ cm, then measure of $AD$ is:
Option 1: $2\sqrt5$ cm
Option 2: $\sqrt5$ cm
Option 3: $3\sqrt5$ cm
Option 4: $3.5\sqrt5$ cm
Correct Answer: $3\sqrt5$ cm
Solution : AD2 = CD × BD ⇒ AD2 = 9 × 5 ⇒ AD2 = 45 ⇒ AD = $\sqrt{45}$ = $3\sqrt5$ Hence, the correct answer is $3\sqrt5$ cm.
Question : Plants which flower only once in their life time are known as
Option 1: polycarpic
Option 2: monocarpic
Option 3: monogamous
Option 4: monogeneric
Correct Answer: monocarpic
Solution : The correct option is Monocarpic.
Monocarpic plants are those that only blossom and set seed once throughout their lives. Monocarpic plants have a unique life cycle in which they normally develop vegetatively for several years, collecting energy and nutrients, and then produce a single, spectacular
Question : If $\tan \theta=\frac{4}{5}$, then $\sec \theta$ is:
Option 1: $\frac{\sqrt{41}}{5}$
Option 2: $\frac{\sqrt{41}}{4}$
Option 3: $\frac{5}{4}$
Option 4: $\frac{\sqrt{41}}{20}$
Correct Answer: $\frac{\sqrt{41}}{5}$
Solution : Given: $\tan \theta=\frac{4}{5}$ We know, $\sec^2 \theta-\tan^2 \theta=1$ $⇒\sec^2 \theta-\frac{16}{25}=1$ $⇒\sec^2 \theta=\frac{41}{25}$ $\therefore\sec \theta=\frac{\sqrt{41}}{5}$ Hence, the correct answer is $\frac{\sqrt{41}}{5}$.
Question : If $a + b + c = 0$ and $ab + bc + ca = -11$, then what is the value of $a^2+b^2+c^2$?
Option 1: –11
Option 2: 22
Option 3: 0
Option 4: 11
Correct Answer: 22
Solution : Given: $a + b + c = 0$ and $ab + bc + ca = -11$ We know, $(a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)$ $⇒0^2 = a^2 + b^2 + c^2 + 2(-11)$ $\therefore
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