Staff Selection Commission Combined Higher Secondary Level Exam
Question : $\sin^2 35^{\circ}+\sin^2 55^{\circ}=$_______.
Option 1: $0$
Option 2: $1$
Option 3: $2\sin 35^\circ$
Option 4: $2\sin 55^\circ$
Correct Answer: $1$
Solution : $\sin^2 35^{\circ}+\sin^2 55^{\circ}$ $= \sin^2 35^{\circ}+\sin^2 (90-35^{\circ})$ $= \sin^2 35^{\circ}+\cos^2 35^{\circ}$ $=1$ Hence, the correct answer is $1$.
Question : Directions: In a certain code language, TECH is coded as 6439 and CHEW is coded as 4163. What is the code for T in the given code language?
Option 1: 3
Option 2: 4
Option 3: 9
Option 4: 6
Correct Answer: 9
Solution : Given: TECH is coded as 6439 and CHEW is coded as 4163.
By comparing the given words, we find that – For, the common letters E, C, and H, the codes are 6, 4, and 3. So, in the word TECH, only T and 9
Question : Which telescope was invented by Isaac Newton in the 17th century by using a concave mirror to collect light instead of a simple lens, which produces false colours due to the dispersion of light?
Option 1: Reflecting telescope
Option 2: Infrared telescope
Option 3: Monocular telescope
Option 4: Graphic telescope
Correct Answer: Reflecting telescope
Solution : The correct option is a Reflecting telescope.
Isaac Newton is credited with inventing the reflecting telescope in the 17th century. The reflecting telescope uses a curved mirror, typically a concave mirror, to collect and focus light. This design was innovative because it helped
Question : A man buys a TV priced at Rs. 16,000. He pays Rs. 4,000 at once and the rest after 15 months on which he is charged as simple interest at the rate of 12% per year. The total amount he pays for the TV is:
Option 1: Rs. 18,200
Option 2: Rs. 17,800
Option 3: Rs. 16,800
Option 4: Rs. 17,200
Correct Answer: Rs. 17,800
Solution : The price of the TV is Rs. 16,000. Initially paid Rs. 4,000. So, the remaining amount is = (16000 – 4000) = Rs. 12,000 We know, simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ So, interest on the amount of Rs. 12,000 for 15
Question : Directions: In the following question, find the odd number from the given alternatives.
Option 1: 165
Option 2: 792
Option 3: 852
Option 4: 671
Correct Answer: 852
Solution : Let's check the options – First option: 165→1 + 6 + 5 = 12 (Even) Second option: 792→7 + 9 + 2 = 18 (Even) Third option: 852→8 + 5 + 2 = 15 (Odd) Fourth option: 671→6 + 7 + 1 =
Question : IMF stands for:
Option 1: International Monetary Function
Option 2: International Monetary Fund
Option 3: Indian Manufacturing Firm
Option 4: Interest Minimum Firm Function
Correct Answer: International Monetary Fund
Solution : The correct option is the International Monetary Fund.
With 29 members, the International Monetary Fund (IMF) was officially established in 1945 to rebuild the global monetary system. It is a significant United Nations financial agency as well as an international financial organization with
Question : Select the most appropriate meaning of the given idiom. A hard nut to crack
Option 1: Any subject which several folks are talking about
Option 2: Something that people believe or accept as true without questioning it
Option 3: An excessive enthusiasm or rage about a minor matter
Option 4: A problem that is difficult to solve
Correct Answer: A problem that is difficult to solve
Solution : The correct choice is the fourth option.
The idiom a hard nut to crack refers to a problem or a situation that is challenging or difficult to solve. It implies something that requires a considerable amount of effort, skill,
Question : Calculate the NNP (in crore) at market price from the given data:
Option 1: 1,25,831
Option 2: 1,42,789
Option 3: 1,43,951
Option 4: 1,24,669
Correct Answer: 1,42,789
Solution : The correct option is 1,42,789.
NNP at Market Price = NDP at Factor Cost + Net Income from Abroad - Net Indirect Taxes
Given the data: NDP at Factor Cost = ₹1,25,250 crore, Net Income from Abroad = -₹581 crore (negative because it's an
Question : If $\frac{\sin \theta}{\cot \theta+\operatorname{cosec} \theta}=1$, then what is the value of $\theta$?
Option 1: $30^{\circ}$
Option 2: $90^{\circ}$
Option 3: $0^{\circ}$
Option 4: $45^{\circ}$
Correct Answer: $90^{\circ}$
Solution : $\frac{\sin \theta}{\cot \theta+\operatorname{cosec} \theta}=1$ ⇒ $\frac{\sin \theta}{\frac{\cos \theta}{\sin \theta} +\frac{1}{\sin \theta}}=1$ ⇒ $\frac{\sin \theta}{\frac{1+\cos \theta}{\sin \theta}}=1$ ⇒ $\frac{\sin^2 \theta}{1+\cos \theta}=1$ ⇒ $\sin^2 \theta = 1+\cos \theta$ ⇒ $1-\sin^2 \theta+\cos \theta = 0$ ⇒ $\cos^2 \theta + \cos \theta = 0$ ($\because$ $ \sin^2 \theta+\cos^2 \theta
Question : The marked price of a toy car is INR 600. The shopkeeper gives a discount of 4% and still makes a profit of 28%. Find the cost price.
Option 1: INR 460
Option 2: INR 420
Option 3: INR 480
Option 4: INR 450
Correct Answer: INR 450
Solution : The marked price of a toy car is INR 600. The shopkeeper gives a discount of 4%. $\therefore$ Selling price $=\frac{96}{100}×600=576$ He still makes a profit of 28%. $\therefore$ Cost price $=\frac{100}{100+28}×576=450$ Hence, the correct answer is INR 450.
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