Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: How many maximum triangles are there in the given figure?
Option 1: 32
Option 2: 20
Option 3: 28
Option 4: 24
Correct Answer: 28
Solution : The given figure can be labelled as shown below –
Now, in the above figure, there are a total of 28 triangles. They are CIH, HIJ, JID, DIC, CHJ, HJD, CDJ, CDH, HGA, AGF, FGJ, JGH, HAF, AFJ, FJH, JHA, BCH, ABH, ABC, DJE, EJF,
Question : A reduction of 10% in the price of a commodity enables a person to buy 25 kg more for Rs. 225. The original price of the commodity per kg was:
Option 1: Rs. 2
Option 2: Re. 1
Option 3: Rs. 2.50
Option 4: Rs.1.50
Correct Answer: Re. 1
Solution : Let the original price of the commodity be Rs. $x$ per kg. Reduction = 10% New price is 90% of $x$ = $\frac{90}{100}x$ = Rs. $\frac{9}{10}x$ According to the question: $\frac{225}{\frac{9}{10}x}$–$\frac{225}{x}$ = 25 ⇒ $\frac{2250}{9x}$–$\frac{225}{x}$ = 25 ⇒ $\frac{2250-2025}{9x}$ = 25 ⇒ $\frac{225}{25}$ =
Question : If $a + b + c = 12$ and $ab + bc + ca = 22$, then what is the value of $a^3 + b^3 + c^3 - 3abc ?$
Option 1: 1052
Option 2: 936
Option 3: 924
Option 4: 876
Correct Answer: 936
Solution : Using the given equation $a + b + c = 12$, we can substitute this value into the formula: $a^3 + b^3 + c^3 - 3abc = (a + b + c)(a^2 + b^2 + c^2 - ab - bc - ca)$ ⇒ $a^3 +
Question : Directions: Which of the following diagrams represents the relationship among Graduates, Doctors, and Professors?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : Based on the general information for people to be doctors and professors, they need to be graduates. So, the circle representing doctors and professors will lie inside the circle representing graduates, some professors can be doctors and some doctors can also be professors.
So, the Venn
Question : A, B, and C started a business by investing INR 9,000, INR 18,000 and INR 21,000, respectively. If B's share in the profit earned by them is INR 759, then the total profit earned by them together is:
Option 1: INR 2,808
Option 2: INR 2,024
Option 3: INR 2,504
Option 4: INR 2,208
Correct Answer: INR 2,024
Solution : Ratio of investment A : B : C = 9000 : 18000 : 21000 ⇒ A : B : C = 3 : 6 : 7 Let $x$ be the whole profit. According to the question, B's share = 759 ⇒ $\frac{6x}{3+6+7} = 759$
Question : A certain sum becomes Rs. 1,050 in 5 years and Rs. 1,230 in 8 years at simple interest. What is the sum?
Option 1: Rs. 950
Option 2: Rs. 700
Option 3: Rs. 650
Option 4: Rs. 750
Correct Answer: Rs. 750
Solution : Given: A certain sum becomes Rs. 1,050 in 5 years and Rs. 1,230 in 8 years at simple interest. So, simple interest for 3 years = 1230 – 1050 = 180 $\therefore$ simple interest for 5 years = $\frac{180}{3}$ × 5 = 300 So,
Question : Who among the following was the disciple of Ramakrishna Paramahansa?
Option 1: Swami Dayanand
Option 2: Swami Sahajananada
Option 3: Swami Vivekananda
Option 4: Swami Shraddhanand
Correct Answer: Swami Vivekananda
Solution : The correct answer is Swami Vivekananda.
The 19th-century saint Ramakrishna Paramahamsa is recognised as the spiritual founder of the Ramakrishna Movement and the Ramakrishna Order of Monks. His most famous pupil was Swami Vivekananda. He taught that the unity of God and the
Question : Directions: XU289 is related to SP324 in a certain way based on the English alphabetical order. In the same way, QN361 is related to LI400. To which of the following is JG441 related, following the same logic?
Option 1: EB484
Option 2: FB464
Option 3: FB484
Option 4: EB464
Correct Answer: EB484
Solution : Given: XU289 is related to SP324 and QN361 is related to LI400.
Subtract 5 from the place value of each letter of XU289 and find the square root of the immediate next number, then add 1 to the result, and square the number after addition
Question : A missile travels at 1386 km/hr. How many metres does it travel in one second?
Option 1: 305 metres
Option 2: 385 metres
Option 3: 372 metres
Option 4: 325 metres
Correct Answer: 385 metres
Solution : We know, Distance covered = Speed × Time taken Average speed = 1386 km/hr = $1386×\frac{5}{18}$ = 385 m/s Time taken = 1 second $\therefore$ Distance covered in 1 second = 385 × 1 = 385 metres Hence, the correct answer is 385 metres.
Question : Directions: Three of the following four-letter clusters are alike in some manner and hence form a group. Which letter cluster does not belong to that group?
Option 1: TSQ
Option 2: JHG
Option 3: PNM
Option 4: XVU
Correct Answer: TSQ
Solution : Let's check the options – First option: TSQ; T – 1 = S; S – 2 = Q Second option: JHG; J – 2 = H; H – 1 = G Third option: PNM; P – 2 = N; N – 1 = M Fourth
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