Staff Selection Commission Combined Higher Secondary Level Exam
Question : $\triangle$XYZ is right angled at Y. If $\angle$X = 60°, then find the value of $(\sec Z+\frac{2}{\sqrt3})$.
Option 1: $\frac{4}{\sqrt3}$
Option 2: $\frac{\sqrt2+2}{2\sqrt2}$
Option 3: $\frac{7}{2\sqrt3}$
Option 4: $\frac{4}{2\sqrt3}$
Correct Answer: $\frac{4}{\sqrt3}$
Solution : Given: $\triangle$XYZ is right angled at Y and $\angle$X = 60°. $(\sec Z+\frac{2}{\sqrt3})$ = $(\sec(90°-60°)+\frac{2}{\sqrt3})$ = $(\sec30°+\frac{2}{\sqrt3})$ = $(\frac{2}{\sqrt3}+\frac{2}{\sqrt3})$ = $\frac{4}{\sqrt3}$ Hence, the correct answer is $\frac{4}{\sqrt3}$.
Question : Mohan purchased a bag with a 20% discount on the labelled price. He sold it at a 40% profit on the price he bought. The percentage of profit on the labelled price is:
Option 1: 20%
Option 2:
12%
Option 3:
18%
Option 4:
24%
Correct Answer:
Solution : Let the labelled price be $x$. Purchasing price = $\frac{80}{100}×x= \frac{4x}{5}$ He sold it at a 40% profit on the price he bought. So, Selling price $=\frac{140}{100}×\frac{4x}{5}=\frac{28x}{25}$ Profit = Selling Price – Labelled Price = $\frac{28x}{25}- x$ = $\frac{3x}{25}$ The percentage of profit on the
Question : Directions: Select the option figure in which the given figure is embedded. (Rotation is NOT allowed.)
Option 1:
Solution : Since there is a restriction on the rotation of the figure, we will check where the question figure can exactly fit itself in the given option figures. By comparison of all the option figures, the given question figure is embedded only in the fourth option figure.
Question : The average age of a husband, the wife, and the child 2 years ago was 28 years and the average age of the husband and the child 5 years ago was 21 years. What is the present age of the wife?
Option 1: 38 years
Option 2: 40 years
Option 3: 36 years
Option 4: 42 years
Correct Answer: 38 years
Solution : The average age of a husband, the wife, and the child 2 years ago was 28. So the present average age of the husband, the wife, and the child = 28 + 2 = 30 The average age of the husband and the child
Question : Directions: Four letter clusters have been given, out of which three are alike in some manner and one is different. Select the odd letter cluster.
Option 1: WC
Option 2: PW
Option 3: FM
Option 4: QX
Correct Answer: WC
Solution : Let us check each option – First option: WC; W + 6 = C Second option: PW; P + 7 = 23 Third option: FM; F + 7 = 13 Fourth option: QX; Q + 7 = 24
So, only the first option is different
Question : Asia and North America are separated by which of the following?
Option 1: Bass Strait
Option 2: Strait of Dover
Option 3: Bering Strait
Option 4: Cook Strait
Correct Answer: Bering Strait
Solution : The correct option is Bering Strait.
The Bering Strait is the body of water separating North America from Asia. The Bering Strait is the only maritime passageway connecting the cold Arctic, and the Pacific Ocean, situated between Alaska and Russia. The strait only
Question : Select the option that expresses the following sentence in passive voice.
Daddy baked the cookies on the weekend.
Option 1: Daddy, on the weekend, baked cookies.
Option 2: The cookies were baked on the weekend by Daddy.
Option 3: On the weekend Daddy baked cookies.
Option 4: No change required
Correct Answer: The cookies were baked on the weekend by Daddy.
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject
Question : Directions: Study the following graph and answer the given questions.
Amount (Rs. in lakhs) invested in raw materials
Value (Rs. in lakhs) of sales of finished goods
In which year, there has been a maximum percentage increase in the amount invested in raw materials as compared to the previous year?
Option 1: 1996
Option 2: 1997
Option 3: 1998
Option 4: 1999
Correct Answer: 1996
Solution : The amount invested in raw materials in 1996 = Rs. 225 lakhs The amount invested in raw materials in 1995 = Rs. 120 lakhs Increase = 225 – 120 = Rs. 105 lakhs In Year 1996, Percentage increase = $\frac{\text{Increase}}{\text{Amount invested in raw material 1995}}$
Question : Who advocated Nazism in Germany?
Option 1: Frederick William IV
Option 2: Adolf Hitler
Option 3: Bismarck
Option 4: William III
Correct Answer: Adolf Hitler
Solution : The correct answer is Adolf Hitler.
During the 1920s and 1930s, Adolf Hitler and the Nazi Party promoted Nazism in Germany. The National Socialist German Workers' Party was the full name of the organisation. In addition to extreme nationalism, racism, anti-semitism and anti-communism,
Question : The plains from Ambala to the Sunderban stretch over nearly 1800 km, but the fall in its slope is hard ______ meters.
Option 1: 550
Option 2: 300
Option 3: 600
Option 4: 450
Correct Answer: 300
Solution : The correct answer is 300.
Although the plains from Ambala to the Sunderban span about 1800 km, there is just a 300-metre drop in elevation. Otherwise, a single meter falls for every six kilometers. Large meanders form in the river as a result.
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