Staff Selection Commission Combined Higher Secondary Level Exam
Question : Select the most appropriate meaning of the given idiom.
Burn your bridges.
Option 1: To have a fight.
Option 2: To disclose a secret.
Option 3: To be puzzled.
Option 4: To eliminate the possibility of return or retreat.
Correct Answer: To eliminate the possibility of return or retreat.
Solution : The fourth option is correct.
Burn your bridges: If you burn your bridges, you do something that forces you to continue with a particular course of action and makes it impossible for you to return to an earlier
Question : Directions: If the 19th of December 1992 is Saturday, then what will be the day of the week on the 22nd of December 2009?
Option 1: Saturday
Option 2: Sunday
Option 3: Thursday
Option 4: Tuesday
Correct Answer: Tuesday
Solution : Given: The 19th of December 1992 is Saturday.
First, find the total number of days – 1992→Dec = 31 – 19 = 12 1993 – 2008→(16 × 365) + 4 = 5840 + 4 = 5844 (4 days are added as 1996, 2000, 2004, and
Question : An equilateral triangle has sides of 18 cm each. The ratio of the inradius to circumradius of the triangle is:
Option 1: 2 : 1
Option 2: 3 : 2
Option 3: 3 : 4
Option 4: 1 : 2
Correct Answer: 1 : 2
Solution : Inradius of equilateral triangle = $\frac{\text{Side}}{2\sqrt{3}}$ Circumradius of equilateral triangle = $\frac{\text{Side}}{\sqrt{3}}$ Required ratio = $\frac{\frac{\text{Side}}{2\sqrt{3}}}{\frac{\text{Side}}{\sqrt{3}}}$ ⇒ Required ratio = 1 : 2 Hence, the correct answer is 1 : 2.
Question : What is the value of x in the number 3426x if the number is divisible by 6 but NOT divisible by 5?
Option 1: 3
Option 2: 4
Option 3: 6
Option 4: 8
Correct Answer: 6
Solution : Since the number 3426x is not divisible by 5, x cannot be equal to 5 or 0. As the number 3426x is divisible by 6, it is divisible by 2 and 3. Hence, x can be an even number. i.e., 2 or 4 or 6
Question : Directions: Select the option that is related to the third number in the same way as the first number is related to the second number and the fifth number is related to the sixth number. 46 : 93 :: 38 : ? :: 58 : 117
Option 1: 83
Option 2: 77
Option 3: 81
Option 4: 79
Correct Answer: 77
Solution : Given: 46 : 93 :: 38 : ? :: 58 : 117
Multiply the first number by 2 and then add 1 to the resultant, to get the second number – Like, 46 : 93→46 × 2 + 1 = 93 And, 58 : 117→58
Question : If the volume of a cube is 729 cm3, then find the total surface area of the cube.
Option 1: 484 cm2
Option 2: 482 cm2
Option 3: 488 cm2
Option 4: 486 cm2
Correct Answer: 486 cm2
Solution : Given: The volume of a cube = 729 cm³. ⇒ (Side)3 = 729 ⇒ Side = $\sqrt[3]{729}$ ⇒ Side = 9 cm Total surface area of the cube = 6 × (Side)2 = 6 × 92 = 486 cm2
Question : Ram left $\frac{1}{3}$rd of his property to his wife and $\frac{3}{5}$th of the remainder to his daughter. He gave the rest to his son, who received Rs. 6,400. How much was his original property worth?
Option 1: Rs. 16,000
Option 2: Rs. 32,000
Option 3: Rs. 24,000
Option 4: Rs. 1,600
Correct Answer: Rs. 24,000
Solution : Let the total property of Ram be worth Rs. $x$. Given: His wife gets Rs. $\frac{x}{3}$ His daughter gets = $\frac{3}{5}$ of $(x–\frac{x}{3})$ = $\frac{3}{5}\times \frac{2x}{3}$ = $\frac{2x}{5}$ His son gets = $x - (\frac{x}{3} + \frac{2x}{5})$ So, 6400 = $x - \frac{11x}{15}$ or,
Question : Directions: In a certain code language, DARK is coded as 3501 and READ is coded as 1037. What is the code for K in the given code language?
Option 1: 1
Option 2: 0
Option 3: 5
Option 4: 3
Correct Answer: 5
Solution : Given: 1. DARK ⇒ 3501 2. READ ⇒ 1037
After comparing the words DARK and READ and their codes, we get – The common letters in given words are D/A/R and common code numbers are 3/0/1. The remaining letters and numbers in DARK are K
Question : Directions: In a certain code language, DOCTOR is written as 342745, and PATIENT is written as 8679017. How is RADIANT written in that code language?
Option 1: 5639617
Option 2: 5634627
Option 3: 5639417
Option 4: 5639427
Correct Answer: 5639617
Solution : Given: DOCTOR is written as 342745 and PATIENT is written as 8679017.
On combining the letters of both the given words, the codes for each letter are – Like, DOCTOR is written as 342745; D→3; O→4; C→2; T→7; O→4; R→5 And, PATIENT is written as
Question : Calculate the total number of prime factors in the expression $(4)^{11}×(5)^{5}×(3)^{2}×(13)^{2}$.
Option 1: 30
Option 2: 31
Option 3: 33
Option 4: 32
Correct Answer: 31
Solution : Given: $(4)^{11}×(5)^{5}×(3)^{2}×(13)^{2}$ = $(2^{2})^{11}×(5)^{5}×(3)^{2}×(13)^{2}$ = $(2)^{22}×(5)^{5}×(3)^{2}×(13)^{2}$ If $N = a^m × b^n$, where a and b are prime numbers, then the total number of prime factors $N = m + n$ $\therefore$ Total prime factors = 22 + 5 + 2 + 2 = 31
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