Staff Selection Commission Combined Higher Secondary Level Exam
Question : In what ratio tea of Rs. 60 per kg should be mixed with tea of Rs. 70 per kg so that on selling the mixture at Rs. 80 per kg there is a profit of 25%?
Option 1: 3 : 2
Option 2: 2 : 3
Option 3: 5 : 2
Option 4: 4 : 1
Correct Answer: 3 : 2
Solution : Given, Cost of tea1 = Rs. 60/kg Cost of tea2 = Rs. 70/kg Selling price of the mixture = Rs. 80/kg Profit = 25% Cost price of the mixture = $\frac{80}{1.25}$ = Rs. 64/kg Using rule of alligation, we get, So, the required
Question : Directions: Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series, as we move from one box to another the pattern followed is as follows – 1. The triangle in the centre reverses its position. 2. All the symbols in the corners are shifting their positions in an anticlockwise direction. The
Question : Simplify the given expression and find the value for $x=-1$. $\frac{10 x^2+5 x+2 x y+y}{5 x+y}$
Option 1: –1
Option 2: 0
Option 3: 1
Option 4: 2
Correct Answer: –1
Solution : Given: $\frac{10 x^2+5 x+2 x y+y}{5 x+y}$ $=\frac{5x(2x+1)+y(2x+1)}{5x+y}$ $=\frac{(5x+y)(2x+1)}{5x+y}$ $=2x+1$ $=2(-1)+1$ [since $x=-1$] $=-1$ Hence, the correct answer is –1.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Solution : As per the mirror image properties, closer things appear closer to the mirror in the 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
Question : A number between 1000 and 2000 which, when divided by 30, 36 and 80, gives a remainder of 11 in each case is:
Option 1: 1451
Option 2: 1641
Option 3: 1712
Option 4: 1523
Correct Answer: 1451
Solution : Given: The number is between 1000 and 2000. The required number is divisible by 30, 36 and 80 and gives the remainder 11 in each case. So, LCM of 30, 36 and 80 = 720 Let the number = 720k + 11 (for any integer
Question : Which among the following constitutional amendments of the Indian Constitution deals with the formation of Sikkim as a state?
Option 1: 36th
Option 2: 51st
Option 3: 42nd
Option 4: 30th
Correct Answer: 36th
Solution : The correct answer is the 36th Amendment.
A proposal to include Sikkim as a fully-fledged State to the First Schedule of the Constitution was made by the 36th Amendment Act of 1975.
Question : What is the unit of relative density?
Option 1: kg/m
Option 2: kg/m2
Option 3: kg/m3
Option 4: It has no unit
Correct Answer: It has no unit
Solution : The correct option is It has no unit.
The ratio of a substance's density to the density of water at 4°C is known as its relative density or specific density. Since the ratio's numerator and denominator share the same units, they
Question : The difference between the greatest and the least prime numbers which are less than 100 is:
Option 1: 96
Option 2: 97
Option 3: 94
Option 4: 95
Correct Answer: 95
Solution : The least prime number less than 100 is 2. The greatest prime number less than 100 is 97. The difference between the greatest and least prime numbers, which are less than 100 = (97 – 2) = 95 Hence, the correct answer is 95.
Question : JKLM is a cyclic quadrilateral in which $\angle \mathrm{K}$ is opposite to $\angle \mathrm{M}$. When $\mathrm{JK}$ and $\mathrm{ML}$ are produced, meet at point $\mathrm{Z}$. $\mathrm{JK}=10 \mathrm{~cm}, \mathrm{KZ}=12 \mathrm{~cm}$ and $\mathrm{MZ}=33 \mathrm{~cm}$. What is the length of $\mathrm{LZ}$?
Option 1: 9 cm
Option 2: 8 cm
Option 3: 10 cm
Option 4: 12 cm
Correct Answer: 8 cm
Solution : JKLM is a cyclic quadrilateral in which $\angle$K is opposite to $\angle$M. When JK and ML are produced, meet at point Z. JK = 10 cm, KZ = 12 cm, and MZ = 33 cm. If chords AB and CD of a circle intersect
Question : Directions: Select the related letter cluster from the given alternatives. OFFICIAL : QHHKEKCN :: LANGUAGE : ?
Option 1: NCPWICIG
Option 2: NCPIWCIG
Option 3: NCPIWICG
Option 4: NCPIWCGI
Correct Answer: NCPIWCIG
Solution : Given: OFFICIAL : QHHKEKCN :: LANGUAGE : ? Add 2 to the positional value of each letter to obtain the required code – Like in, OFFICIAL→O + 2 = Q; F + 2 = H; F + 2 = H; I + 2 = K;
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