Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. B can be represented by 00, 23, etc, and P can be represented by 56, 65, etc. Similarly, you have to identify the set for the word DEBRIS.
Option 1: 40, 95, 14, 59, 30, 69
Option 2: 22, 59, 42, 59, 34, 69
Option 3: 40, 95, 14, 58, 34, 69
Option 4: 22, 95, 59, 30,14, 69
Correct Answer: 40, 95, 14, 58, 34, 69
Solution : Given: DEBRIS
Number representations of each letter – D→04, 13, 22, 31, 40 E→59, 68, 77, 86, 95 B→00, 14, 23, 32, 41 R→58, 67, 76, 85, 99 I→02, 11, 20, 34, 43 S→55, 69, 78, 87, 96
First option:
Question : The dome of a residential tower is in the form of a hemisphere with a radius of 560 cm. Find the cost of painting it at the rate of Rs. 25 per m2. (Take $\pi=\frac{22}{7}$)
Option 1: Rs. 4928
Option 2: Rs. 4982
Option 3: Rs. 4298
Option 4: Rs. 4289
Correct Answer: Rs. 4928
Solution : Radius of dome (hemispherical) = 560 cm = 5.6 m $\therefore$ Area of curved surface $= 2\pi r^{2} = 2\times \frac{22}{7} \times 5.6\times 5.6$ m$^{2} = 197.12 $ m$^{2}$ Rate of painting = Rs. 25 per sq.m So, the total cost = 197.12 ×
Question : What was the Reserve Bank of India's (RBI) deadline to exchange pre-2005 currency notes of Rs. 500 and Rs. 1,000 as announced in 2015?
Option 1: January 1, 2015
Option 2: December 31, 2015
Option 3: April 1, 2015
Option 4: March 31, 2015
Correct Answer: January 1, 2015
Solution : The correct option is January 1, 2015.
The Reserve Bank of India (RBI) had set a deadline of January 1, 2015, for the exchange of pre-2005 currency notes of Rs. 500 and Rs. 1000 denominations, but later it was extended to June
Question : The largest producer of Lignite in India is:
Option 1: Kerala
Option 2: Tamil Nadu
Option 3: Rajasthan
Option 4: Gujarat
Correct Answer: Tamil Nadu
Solution : The correct answer is Tamil Nadu.
Lignite is the lowest-grade ore of coal. It is also known as Brown Coal and has the lowest concentration of carbon in it. In India, Tamil Nadu is the largest Lignite-producing state. It is also found in
Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=5 \mathrm{x}-60^{\circ}, \angle \mathrm{B}=2 \mathrm{x}+40^{\circ}, \angle \mathrm{C}=3 \mathrm{x}-80^{\circ}$. Find $\angle \mathrm{A}$.
Option 1: $75^{\circ}$
Option 2: $90^{\circ}$
Option 3: $80^{\circ}$
Option 4: $60^{\circ}$
Correct Answer: $80^{\circ}$
Solution : Given: In $\triangle \mathrm{ABC}, \angle \mathrm{A}=5 \mathrm{x}-60^{\circ}, \angle \mathrm{B}=2 \mathrm{x}+40^{\circ}, \angle \mathrm{C}=3 \mathrm{x}-80^{\circ}$. We know, the sum of the three angles of a triangle is $180^{\circ}$. According to the question, $5x-60^{\circ}+2x+40^{\circ}+3x-80^{\circ}=180^{\circ}$ $⇒10x=180^{\circ}+100^{\circ}$ $⇒x=\frac{280^{\circ}}{10}$ $\therefore x=28^{\circ}$ Now, $\angle \mathrm{A}$= $(5×28^{\circ})-60^{\circ} = 140^{\circ}-60^{\circ} = 80^{\circ}$ Hence, the
Question : Directions: From the given answer figures, select the one in which the question figure is hidden/embedded.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Because there is no restriction on the rotation of the figure, we will check all the possible orientations of the question figure in which of the given option figures it can fit itself. By comparison of all option figures, the question figure is embedded only in
Question : $\triangle A B C$ inscribe in a circle with centre O. If AB = 9 cm, BC = 40 cm, and AC = 41 cm, then what is the circum-radius of the triangle?
Option 1: $20 \frac{1}{2} \mathrm{~cm}$
Option 2: $12 \frac{1}{2} \mathrm{~cm}$
Option 3: $18 \frac{1}{2} \mathrm{~cm}$
Option 4: $16 \frac{1}{2} \mathrm{~cm}$
Correct Answer: $20 \frac{1}{2} \mathrm{~cm}$
Solution : Given: $\triangle A B C$ inscribe in a circle with centre O. AB = 9 cm, BC = 40 cm, and AC = 41 cm Also, we can see $9^2+40^2=1681=41^2$ So, it is a right triangle. Hypotenuse = AC = 41 cm For
Question : Rearrange the parts of the sentence in the correct order. The Supreme Court P. must remind the state to act constitutionally, Q. lawfully and justly in every case across the R. country, especially in sensitive matters involving S. those who oppose the party in office with peaceful means
Option 1: PQRS
Option 2: PQSR
Option 3: QPSR
Option 4: QRSP
Correct Answer: PQRS
Solution : The correct choice is the first option: PQRS.
The logical flow of the order is as follows:
The sentence begins by introducing the subject, "The Supreme Court". It then establishes the directive or duty that the Supreme Court must fulfil, which is to "remind the
Question : The digit in the unit's place of the product 49237 × 3995 × 738 × 83 × 9 is:
Option 1: 0
Option 2: 7
Option 3: 5
Option 4: 6
Correct Answer: 0
Solution : The product of unit digits of the 2nd and 3rd numbers is (5 × 8) = 40. The unit digit of this product is 0. So, the digit in the unit's place of the product of 49237 × 3995 × 738 × 83 × 9
Question : The lengths of the two sides of a triangle are 14 cm and 9 cm. Which of the options below can be the length of the third side?
Option 1: 17 cm
Option 2: 23 cm
Option 3: 24 cm
Option 4: 5 cm
Correct Answer: 17 cm
Solution : We know that the sum of the length of either two sides of a triangle must be more than the third side. So, the third side < (14 + 9) Or, the third side < 23 Also, the difference in lengths of any two
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