Staff Selection Commission Combined Higher Secondary Level Exam
Question : If $2 x+3 y=9$ and $x y=3$, what is $8 x^3+27 y^3?$
Option 1: $235$
Option 2: $244$
Option 3: $243$
Option 4: $234$
Correct Answer: $243$
Solution : Given: $2x+3y=9$ and $xy=3$. $8 x^3+27 y^3$ $= (2x)^3+(3y)^3$ $= (2x+3y)^3-3×2x×3y (2x+3y)$ $= (9)^3-18xy(9)$ $= 729-18×3×9$ $= 729-486$ $= 243$ Hence, the correct answer is $243$.
Question : Directions: If a mirror is placed on the line MN, then which of the answer figures is the right mirror image of the given figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. 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
Question : Choose the option that is the correct direct form of the sentence.
He said that he had taken French lessons on Duolingo.
Option 1: He said, “I have taken French lessons on Duolingo.”
Option 2: He said, “You took French lessons on Duolingo. “
Option 3: He says, “He has taken French lessons on Duolingo.”
Option 4: He said, "I take French lessons on Duolingo."
Correct Answer: He said, “I have taken French lessons on Duolingo.”
Solution : The correct choice is the first option.
Direct speech is a form of speech or writing where the actual words spoken by a person are quoted within the quotation marks attributed by the speaker.
The steps
Question : Directions: In the following question, select the related number from the given alternatives. 6 : 18 :: 4 : ?
Option 1: 15
Option 2: 6
Option 3: 8
Option 4: 2
Correct Answer: 8
Solution : Given: 6: 18:: 4:?
Like in, 6 : 18 – Multiply 6 by ½ = 6 × ½ = 3 Now, multiply 3 by 6 = 6 × 3 = 18 Similarly for, 4 : ? – Multiply 4 by ½ = 4 × ½
Question : Which of the following branches deals with the interactions of same species of the living organisms with their non-living environment.
Option 1: Autecology
Option 2: Synecology
Option 3: Ecology
Option 4: Palaeontology
Correct Answer: Ecology
Solution : The correct option is Ecology.
The branch of biology that deals with the interactions of the same species of living organisms with their non-living environment is known as ecology. Ecology is the study of how organisms interact with each other and their physical environment. This
Question : In triangle STU, V is a point on the side ST and W is a point on the side SU such that VWUT is a trapezium. Given that VW : TU = 2 : 7, what is the ratio of the area of trapezium VWUT to the area of the triangle STU?
Option 1: 4 : 49
Option 2: 4 : 45
Option 3: 45 : 49
Option 4: 49 : 81
Correct Answer: 45 : 49
Solution : Given, $VWUT$ is a trapezium and $VW \parallel UT$ In $\triangle STU$, $VW \parallel UT$ So, $\triangle SVW \sim \triangle STU$ We know, that the ratio of the area of similar triangles is equal to the ratio of the squares of corresponding sides
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 36
Option 2: 117
Option 3: 52
Option 4: 26
Correct Answer: 36
Solution : For each figure, multiply and add the numbers in the top left and top right corners to get the bottom left and bottom right numbers respectively. Figure one: 5 × 4 = 20; 5 + 4 = 9 Figure two: 3 × 8 = 24;
Question : The price of a certain mobile set is discounted by 10% and the reduced price is then discounted by 10%. This series of successive discounts is equivalent to a single discount of:
Option 1: 17%
Option 2: 16%
Option 3: 19%
Option 4: 18%
Correct Answer: 19%
Solution : Given: The mobile set is discounted by 10% and the reduced price is then discounted by 10%. We know that, Effective discount = ($x+y-\frac{xy}{100}$)%, where $x$ and $y$ are two successive discounts. = $10+10-\frac{10×10}{100}$ = $20-\frac{100}{100}$ = $20-1$ = 19% Hence, the correct answer is
Question : The marked price of a CD is Rs. 250. It is sold for Rs. 225. The rate of discount is:
Option 1: $2.5$%
Option 2: $10$%
Option 3: $25$%
Option 4: $11\frac{1}{9}$%
Correct Answer: $10$%
Solution : Given: The marked price of a CD is Rs. 250 and the selling price is Rs. 225. Discount price = 250 – 225 = Rs. 25 Discount percentage = $ \frac{\text{Discount}}{\text{Marked price}}\times 100=\frac{25}{250}\times 100=10\%$ Hence, the correct answer is $10$%.
Question : Breakdown of pyruvate into lactic acid and energy in lack of oxygen takes place in which of the following?
Option 1: Bacteria
Option 2: Human muscle cells
Option 3: Yeast
Option 4: Mitochondria
Correct Answer: Human muscle cells
Solution : The correct option is Human muscle cells.
The breakdown of pyruvate into lactic acid and energy in the absence of oxygen takes place in human muscle cells. This process is called anaerobic respiration. When there is not enough oxygen available, muscle cells
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
