Staff Selection Commission Combined Higher Secondary Level Exam
Question : A circle with centre O has a chord AB that is 20 cm in length. If the radius of the circle is 12 cm, then the area of triangle AOB is:
Option 1: $20 \sqrt{15}$ cm2
Option 2: $22 \sqrt{11}$ cm2
Option 3: $20 \sqrt{11}$ cm2
Option 4: $22 \sqrt{15}$ cm2
Correct Answer: $20 \sqrt{11}$ cm2
Solution : The area of triangle AOB, $ = \frac{1}{2} \times \text{base} \times \text{height}$ In triangle AOB, AB is the base and the height is the perpendicular drawn from the centre O to the chord AB. Use the Pythagorean theorem, $OD = \sqrt{12^2 -
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 5000. Number of girls in a particular school is shown as a percentage of total number of girls in all these six schools.
What is the ratio of the number of girls in school A to the number of girls in school E?
Option 1: 5 : 8
Option 2: 10 : 9
Option 3: 6 : 7
Option 4: 9 : 10
Correct Answer: 10 : 9
Solution : Total = 5000 We have to find the ratio of the number of girls in school A to the number of girls in school E Number of girls in school A = 20% of 5000 $=\frac{20}{100}\times 5000 = 1000$ Number of girls in
Question : Improve the underlined part of the sentence. Choose ‘No improvement’ as an answer if the sentence is grammatically correct. The dog will whine at the door when he wants to go out.
Option 1: wants to gone
Option 2: want to go
Option 3: No improvement
Option 4: wants to going
Correct Answer: No improvement
Solution : The correct choice is the third option.
The underlined segment is grammatically correct and contextually meaningful.
Therefore, the correct answer is no improvement.
Question : Choose the correct meaning of the underlined word in the given sentence.
My friend works as a florist at the shop down the street.
Option 1: A person who sells and arranges cut flowers
Option 2: A person who sells sweets
Option 3: Someone who grows flowers
Option 4: Someone who works in a bank
Correct Answer: A person who sells and arranges cut flowers
Solution : The first option is the correct answer.
In the context of the sentence, a florist is described as working at a shop down the street, indicating involvement in the business of selling and arranging flowers. A florist refers
Question : Directions: Select the related letter cluster from the given alternatives. SPINSTER : ROHMRSDQ :: SEMESTER : ?
Option 1: RDDLRSDQ
Option 2: RDLDSRDQ
Option 3: RDLDRSDQ
Option 4: RDLDRDSQ
Correct Answer: RDLDRSDQ
Solution : Given: SPINSTER : ROHMRSDQ :: SEMESTER : ?
Like, for SPINSTER – S – 1 = R; P – 1 = O; I – 1 = H; N – 1 = M; S – 1 = R; T – 1 = S; E – 1
Question : Directions: What will come in the place of (?) in the following equation, if × and – are interchanged and also + and ÷ are interchanged? 12 + 4 – 2 × 5 ÷ 4 = ?
Option 1: 6
Option 2: 5
Option 3: 3
Option 4: 4
Correct Answer: 5
Solution : Given: 12 + 4 – 2 × 5 ÷ 4 = ?
On interchanging the mathematical signs, we get – 12 ÷ 4 × 2 – 5 + 4 = ? = 3 × 2 – 5 + 4 = 6 – 5 + 4
Question : What will be the average of the first 8 positive even numbers divisible by 9?
Option 1: 45
Option 2: 72
Option 3: 81
Option 4: 63
Correct Answer: 81
Solution : We know that even numbers are divisible by 2. The sum of the numbers = 9 × 2( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) [We know that the sum of the first n natural number =
Question : A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If the cost price of the article is INR 540, then find the marked price (in INR) of the article.
Option 1: 810
Option 2: 750
Option 3: 720
Option 4: 690
Correct Answer: 720
Solution : Given, Cost Price = INR 540, Profit Percentage = 20%, Discount Percentage = 10% Here cost price is denoted by CP, the selling price is denoted by SP, and MP denotes the marked price. Profit = Profit Percentage × CP ⇒ Profit = 0.20 ×
Question : Bindusara sent Ashoka to quell the rebellion in:
Option 1: Swarnagiri
Option 2: Taxila
Option 3: Ujjain
Option 4: Tosali
Correct Answer: Ujjain
Solution : The correct option is Ujjain.
Bindusara ordered Asoka to put down the revolt at Ujjain. During Mauryan reign, Ujjain was a significant city in the Central India area. It was a major trade and business centre as well as a strategic site. In the
Question : Select the option that has NO spelling or grammatical errors.
Option 1: Although he had never traveled abroad before, Jack felt confident navigeting the unfamiliar castoms and language.
Option 2: Although he had never travelled abroad before, Jack felt confident navigating the unfamiliar customs and language.
Option 3: Although he had never traveled abroad before, Jack felt confidant navigating the unfamilliar customs and language.
Option 4: Although he had never traveled abroad before, Jack felt confident navigeting the unfamilliar castoms and language.
Correct Answer: Although he had never travelled abroad before, Jack felt confident navigating the unfamiliar customs and language.
Solution : The correct option with no spelling or grammatical errors is the second option.
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