Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: What will come in the place of the question mark (?) in the following equation if + and – are interchanged and × and ÷ are interchanged? 49 × 7 ÷ 13 – 87 + 12 = ?
Option 1: 167
Option 2: 166
Option 3: 159
Option 4: 171
Correct Answer: 166
Solution : Given: 49 × 7 ÷ 13 – 87 + 12 = ?
On, interchanging the symbols with each other, we get – = 49 ÷ 7 × 13 + 87 – 12 = 7 × 13 + 87 – 12 = 91 + 87 –
Question : Simplify the following expression: $\frac{1-\sin A}{\cos A}+\frac{\cos A}{1-\sin A}$
Option 1: $2 \cos A$
Option 2: $2 \tan A$
Option 3: $2 \sec A$
Option 4: $2 \sin A$
Correct Answer: $2 \sec A$
Solution : $\frac{1-\sin A}{\cos A}+\frac{\cos A}{1-\sin A}$ $=\frac{(1-\sin A)^2+\cos^2A}{\cos A(1-\sin A)}$ $=\frac{1+\sin^2 A-2\sin A+\cos^2A}{\cos A(1-\sin A)}$ $=\frac{1+1 -2\sin A}{\cos A(1-\sin A)}$ $=\frac{2 -2\sin A}{\cos A(1-\sin A)}$ $=\frac{2(1 -\sin A)}{\cos A(1-\sin A)}$ $=\frac{2}{\cos A}$ $=2\sec A$ Hence, the correct answer is $2\sec A$.
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the reflected image will appear
Question : Gugga Naumi festival is celebrated in which of the following states?
Option 1: Gujarat
Option 2: Uttarakhand
Option 3: Himachal Pradesh
Option 4: Haryana
Correct Answer: Haryana
Solution : The correct answer is Haryana.
Haryana celebrates the Gugga Naumi festival during the lunar month of Bhadon. It is observed from August through September and is associated with snake worship. This festival honours Gugga Pir, who also happens to be in Bhadon. The northern Indian
Question : The time between program input and output is called:
Option 1: Turnaround time
Option 2: Waiting time
Option 3: Execution time
Option 4: Delay time
Correct Answer: Turnaround time
Solution : The correct answer is Turnaround time.
In the context of batch processing or task scheduling systems, turnaround time refers to the time between program input and output. The complete process from submitting a task or program for processing through waiting (if necessary), executing
Question : What is the number of players in a Kho Kho team?
Option 1: 12
Option 2: 13
Option 3: 10
Option 4: 11
Correct Answer: 12
Solution : The correct option is 12.
Each kho-kho team consists of twelve players, but only nine players take the field once during a match. There are two innings in a game. In an inning, each team gets seven minutes to attack and seven minutes to
Question : The marked price of a school bag was INR 550. This price was 10% above the cost price. It was sold at a discount of 10% on the marked price. Find the gain or loss percentage.
Option 1: Loss 1%
Option 2: Loss 0.1%
Option 3: Gain 0.1%
Option 4: Gain 1%
Correct Answer: Loss 1%
Solution : Marked price, $MP$ = INR 550 Cost price, $CP=\frac{MP\times 100}{(100+10)}$ = $\frac{550\times 100}{(110)}$ = INR 500 Selling price after 10% discount on marked price, $SP = \frac{550\times (100-10)}{100}$ = $\frac{550\times 90}{100}$ = INR 495 Now, loss percentage = $\frac{(CP-SP)}{CP}\times 100$ = $\frac{(CP-SP)}{CP}\times 100$ =
Question : The contractile proteins in a muscle are
Option 1: Actin and Myosin
Option 2: Actin and Tropomyosin
Option 3: Myosin and Troponin
Option 4: Troponin and Tropomyosin
Correct Answer: Actin and Myosin
Solution : The correct option is - Actin and myosin.
The contractile proteins in a muscle refer primarily to two types of proteins: actin and myosin. Actin is a globular protein that forms thin filaments in muscle fibers. These filaments are involved in muscle contraction
Question : Rice worth INR 504 per kg and INR 540 per kg are mixed with the third variety in the ratio 1 : 1 : 2. If the mixture is worth INR 612 per kg, find the price (per kg in INR) of the third variety.
Option 1: 630
Option 2: 702
Option 3: 764
Option 4: 522
Correct Answer: 702
Solution : Cost of first variety = INR 504 The cost of the second variety = INR 540 The ratio in which rice varieties are mixed = 1 : 1 : 2 Let INR $x$ be the cost of the third variety. Cost of mixed variety =
Question : The ratio of the volume of the first and second cylinders is 32 : 9 and the ratio of their heights is 8 : 9. If the area of the base of the second cylinder is 616 cm2, then what will be the radius of the first cylinder?
Option 1: 24 cm
Option 2: 20 cm
Option 3: 28 cm
Option 4: 36 cm
Correct Answer: 28 cm
Solution : Volume of cylinder = $\pi r^2h$ The volume of the cylinder can be written as $32y$ and $9y$ The height of the cylinder can be written as $8h$ and $9h$ Since we know that the volume of the cylinder = Area of the base
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