Staff Selection Commission Combined Higher Secondary Level Exam
Question : The pie chart given below shows the number of girls in six schools. The total number of girls in all these six schools is 9000, number of girls in a particular school is shown as a percentage of the total number of girls in all these six schools.
The number of girls in school D is what percentage of the number of girls in school I?
Option 1: 29%
Option 2: 39%
Option 3: 390%
Option 4: 290%
Correct Answer: 390%
Solution : The total number of girls in all these six schools is 9000 Number of girls in school D = 39% of 9000 $=\frac{39}{100}\times9000 = 3510$ Number of girls in school I = 10% of 9000 $=\frac{10}{100}\times 9000 = 900$ $\therefore$ Required percentage = $\frac{\text{No. of
Question : The value of $\frac{1+\sin A}{\cos A}+\frac{\cos A}{1+\sin A}$ is:
Option 1: $2 \sec A$
Option 2: $2 \operatorname{cosec} A$
Option 3: $ \sec A$
Option 4: $ \operatorname{cosec} A$
Correct Answer: $2 \sec A$
Solution : Consider $\frac{1+\sin A}{\cos A}+\frac{\cos A}{1+\sin A}$ = $\frac{(1+\sin A)(1+\sin A)+\cos^2A}{\cos A(1+\sin A)}$ = $\frac{1+\sin^2A+2\sin A + cos^2A}{\cos A(1+\sin A)}$ = $\frac{1+1+2\sin A}{\cos A(1+\sin A)}$ [Using $\sin^2A+\cos^2A=1$] = $\frac{2+2\sin A}{\cos A(1+\sin A)}$ = $\frac{2(1+\sin A)}{\cos A(1+\sin A)}$ = $\frac{2}{\cos A}$ = $2\sec A$ Hence,
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per mirror image properties, closer things appear closer to the mirror in reflection. Here, according to the information provided, if the mirror is placed on the right side of the figure (on line MN), the right of the reflected image will appear as the left,
Question : Two circles having equal radii intersect each other such that each passes through the centre of the other. The sum of the diameter of these two circles is 84 cm. What is the length of the common chord?
Option 1: $21 \sqrt{3}\ \text{cm}$
Option 2: $14 \sqrt{3}\ \text{cm}$
Option 3: $28 \sqrt{3}\ \text{cm}$
Option 4: $24 \sqrt{3} \ \text{cm}$
Correct Answer: $21 \sqrt{3}\ \text{cm}$
Solution : Given: Sum of the diameter of circles = 84 cm Diameter of one circle = $\frac{84}{2}=42$ Radius = $\frac{42}{2}=21$ According to the question, AD = DB OP = 21 cm Again OA = PA = 21 cm Here, $\angle ADO=90^\circ$ OD = PD
Question : Directions: Select the option figure in which the given figure is embedded. (Rotation is not allowed.)
Solution : As there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Question : Which is the administrative capital of Malayasia?
Option 1: Putrajaya
Option 2: Seremban
Option 3: Taiping
Option 4: Ipoh
Correct Answer: Putrajaya
Solution : The Correct Answer is Putrajaya
West-central Putrajaya, a city and federal territory of Malaysia, is located in Peninsular Malaysia. It is situated 25 kilometers (15 miles) south of Kuala Lumpur, the country's capital, and serves as the administrative center of the country. There are both
Question : Directions: Select the related code from the given alternatives. ? : LLH :: RMS : SLU
Option 1: NMK
Option 2: KMF
Option 3: MKF
Option 4: MMF
Correct Answer: KMF
Solution : Given: ? : LLH :: RMS : SLU
Like, S – 1 = R; L + 1 = M; U – 2 = S Similarly, L – 1 = K; L + 1 = M; H – 2 = F
So, LLH is related to
Question : The radius and slant height of a cone are in the ratio 5 : 7. If its curved surface area is 1347.5 cm2, find its radius. $\mathrm{(Use ~\pi =\frac{22}{7})}$
Option 1: 15 cm
Option 2: 25.5 cm
Option 3: 17.5 cm
Option 4: 21 cm
Correct Answer: 17.5 cm
Solution : Given, Radius : Slant height = 5 : 7 Let radius = 5$m$ and slant height = 7$m$ Curved surface area of the cone = 1347.5 cm2 ⇒ $1347.5=\pi\times 5m\times 7m$ ⇒ $1347.5=\frac{22}{7}\times 35m^2$ ⇒ $m^2 = \frac{1347.5\times 7}{22\times 35}$ ⇒ $m^2 =
Question : Which project aims to develop state roads along coastal border areas, including connectivity of non-major ports?
Option 1: Golden Quadrilateral
Option 2: Setu Bharatam Pariyojana
Option 3: District Headquarters Connectivity Scheme
Option 4: Bharatmala Pariyojana
Correct Answer: Bharatmala Pariyojana
Solution : The correct answer is Bharatmala.
The new highways sector umbrella program is called Bharatmala Pariyojana. Its main objective is to maximise the effectiveness of freight and passenger transportation throughout the nation. The primary goal was to raise road standards to spur economic growth throughout
Question : Directions: What will come in the place of the question mark (?) in the following equation if + and – are interchanged and × and ÷ are interchanged? 104 – 7 ÷ 65 × 13 + 38 = ?
Option 1: 101
Option 2: 114
Option 3: 129
Option 4: 97
Correct Answer: 101
Solution : Given: 104 – 7 ÷ 65 × 13 + 38 = ?
If + and – are interchanged and × and ÷ are interchanged, then the equation will be as follows – = 104 + 7 × 65 ÷ 13 – 38 = 104 +
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