Staff Selection Commission Combined Higher Secondary Level Exam
Question : Pawan purchases 70 articles for INR 16,875 and sells them at a loss equal to the Selling Price of 5 articles. What will be the Selling Price of one article?
Option 1: INR 220
Option 2: INR 230
Option 3: INR 235
Option 4: INR 225
Correct Answer: INR 225
Solution : Given: Pawan purchased 70 articles for INR 16,875. Let the Selling Price of 1 article be $x$. According to the question, $16875-70x=5x$ ⇒ $75x=16875$ $\therefore x=225$ Hence, the correct answer is INR 225.
Question : Vikram allows two successive discounts of 20% and 10% on the marked price of a book, which is equal to a single discount of Rs. 252. Then how much profit will Vikram get, on that book, if the cost price is Rs. 600?
Option 1: Rs. 72
Option 2: Rs. 56
Option 3: Rs. 48
Option 4: Rs. 54
Correct Answer: Rs. 48
Solution : Given: Successive discounts of 20% and 10% = Rs. 252 Single equivalent discount = $(a+b-\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. ⇒ Single discount equivalent to 20% and 10% = $20+10-\frac{20×10}{100}$ = 28% So, 28% of the marked price = Rs. 252 ⇒
Question : Directions: How many semi-circles are there in the given figure?
Option 1: 12
Option 2: 13
Option 3: 15
Option 4: 16
Correct Answer: 15
Solution : The given figure can be labelled as shown below –
In the above-labelled figure, there are 15 semi-circles. They are AB, AC, CF, BE, EF, MN, NQ, QR, MO, OR, UV, VY, YZ, UW, and WZ.
Therefore, there are 15 semi-circles in the given figure.
Question : If $4(x+5)-3>6-4x\geq x-5$, then the value of $x$ is:
Option 1: –2
Option 2: –1
Option 3: 3
Option 4: 4
Correct Answer: –1
Solution : To solve the compound inequality $4(x+5)–3 > 6 –4x \geq x – 5$ Solving each inequality one by one, $4(x+5) - 3 > 6- 4x$ $⇒4x + 20 -3 > 6 - 4x$ $⇒4x + 17 > 6- 4x$ $⇒8x + 17 > 6$ $⇒x
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
In 2001, hundreds of people were killed (from) the earthquake in Gujarat.
(1) in
(2) because of
(3) since
(4) No Improvement
Option 1: 1
Option 2: 2
Correct Answer: 1
Solution : The correct choice is the first option.
There is an error in the use of prepositions. The appropriate preposition to use in this context is "in" to indicate the location or cause of the deaths.
The meanings of other options are as follows:
Question : Who amongst the following was not associated with the Unification of Italy?
Option 1: Cavour
Option 2: Garibaldi
Option 3: Mussolini
Option 4: Mazzini
Correct Answer: Mussolini
Solution : The correct option is Mussolini.
The unification of Italy was not a project that Mussolini did. King Victor Emmanuel II of Italy, Camillo Benso, Count of Cavour, Giuseppe Garibaldi and Giuseppe Mazzini were key figures in the fight for Italian unity and freedom from
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close 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 : Select the most appropriate meaning of the underlined phrase in the following sentence. As the actors gathered backstage, the director shouted, "Break a leg, everyone!" before they took the stage for their opening night performance.
Option 1: To get a good night's sleep
Option 2: To wish someone good luck
Option 3: To take a risk
Option 4: To keep a secret
Correct Answer: To wish someone good luck
Solution : The most appropriate meaning of the underlined phrase "break a leg" is a theatrical idiom used to wish someone good luck before a performance.
Explanation: "Break a leg" is an idiomatic expression commonly used in the theatre to wish performers good
Question : Find the value of the following expression $\frac{(1+\sec\phi)}{\sec\phi}(1-\cos\phi)$.
Option 1: $\cos ^2 \phi$
Option 2: $\sec ^2 \phi$
Option 3: $\cot ^2 \phi$
Option 4: $\sin ^2 \phi$
Correct Answer: $\sin ^2 \phi$
Solution : Given: $\frac{(1+\sec\phi)}{\sec\phi}(1-\cos\phi)$ = $\frac{(1+\frac{1}{\cosØ})}{\frac{1}{\cos\phi}}(1-\cos\phi)$ = $\cos\phi\frac{(1+\cos\phi)}{\cos\phi}$$(1-\cos\phi)$ = $(1+\cos\phi)(1-\cos\phi)$ = $1-\cos^2\phi$ = $\sin^2\phi$ Hence, the correct answer is $\sin^2\phi$.
Question : There is a need to keep a larger area under forests for:
Option 1: absorption of carbon dioxide
Option 2: protecting wildlife
Option 3: raising percipitation
Option 4: geological balance
Correct Answer: absorption of carbon dioxide
Solution : The correct answer is absorption of carbon dioxide.
Forests are vital for maintaining ecological balance, livelihood of various animals and sustenance of life, but the main function of forests is carbon sequestration. Forests absorb the carbon dioxide and release oxygen because of
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