Staff Selection Commission Combined Higher Secondary Level Exam
Question : The following sentence has been divided into four parts. One of them contains an error. Select the part that contains the error from the given options.
The sun / revolves / around / a earth.
Option 1: The sun
Option 2: revolves
Option 3: a earth.
Option 4: around
Correct Answer: a earth.
Solution : The error lies in the third option.
The article usage before "earth" is incorrect in the sentence. The definite article "the" should replace "a" before earth in the sentence, as we are referring to a specific place or the planet on which we live.
Question : A shopkeeper sells a table at a $25\%$ discount on the marked price and earns a profit of $70\%$. If he sells the same table at $50 \%$ discount, then his new profit percentage will be:
Option 1: $11 \frac{1}{3} \%$
Option 2: $12 \frac{1}{2} \%$
Option 3: $13 \frac{1}{3} \%$
Option 4: $13 \frac{1}{2} \%$
Correct Answer: $13 \frac{1}{3} \%$
Solution : Let the marked price be $100$. The discount is $25$% on the Marked Price. So, the selling price = $100 - 25 = 75$ Profit is $70$%. Cost price = $\frac{100}{170}×75=\frac{750}{17}$ If he sells the same table at $50 \%$ discount, New selling
Question : Directions: The marks obtained by 273 examinees are shown by the frequency polygon. Given that the mean mark is 59.5. Study the frequency polygon and answer the given questions.
The percentage of the students who get above 80% marks is:
Option 1: 9.81
Option 2: 10.53
Option 3: 11.28
Option 4: 11.72
Correct Answer: 11.72
Solution : As per the given graph, The number of students who got above 80% marks = 24 + 8 = 32 The total number of students = 273 $\therefore$ The required percentage $=\frac{\text{The number of students who got above 80% marks}}{\operatorname{The total number of students}} ×
Question : Directions: Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. A_DC_FHGIJ_K_NPOQRT_
Option 1: BEKMS
Option 2: BELNU
Option 3: BELMS
Option 4: BEKNU
Correct Answer: BELMS
Solution : Given: A_DC_FHGIJ_K_NPOQRT_
To fill the series we have to divide the series – A_ / DC / _F / HG / IJ / _K / _N / PO / QR / T_ Let's check the options – First option: BEKMS; AB / DC /
Question : Directions: What will come in the place of ? in the following equation, if + and – are interchanged and × and ÷ are interchanged? 16 ÷ 4 + 15 × 5 – 47 = ?
Option 1: 118
Option 2: 128
Option 3: 138
Option 4: 108
Correct Answer: 108
Solution : Given: 16 ÷ 4 + 15 × 5 – 47 = ?
After interchanging + with –, and × with ÷, the equation will be as follows – = 16 × 4 – 15 ÷ 5 + 47 = 16 × 4 – 3 +
Question : On parallel tracks, two trains of equal length are moving at speeds of 46 and 36 kilometres per hour in the same direction. In 36 seconds, the quicker the train overtakes the slower one. The length of each train is:
Option 1: 60 metres
Option 2: 50 metres
Option 3: 56 metres
Option 4: 52 metres
Correct Answer: 50 metres
Solution : Let the length of the trains be $x$ metre each. So, the distance to be covered = 2$x$ Now the trains are running in the same direction. So, their relative speed = (46 − 36) kilometres per hour = 10 kilometres per hour =
Question : Find the value of the expression $\frac{x^2-1}{x-1}-\frac{x^2-9}{x-3}$.
Option 1: 1
Option 2: –2
Option 3: –1
Option 4: 2
Correct Answer: –2
Solution : $\frac{x^2-1}{x-1}-\frac{x^2-9}{x-3}$ = $\frac{(x-1)(x+1)}{x-1}-\frac{(x-3)(x+3)}{x-3}$ = $(x+1) - (x+3)$ = $-2$ Hence, the correct answer is –2.
Question : Aastha spends 15% of her total income on travelling and 20% of the rest income on food and then donates INR 380 and after that, she saves INR 2,000. Find her total income (in INR).
Option 1: 3,500
Option 2: 3,650
Option 3: 3,800
Option 4: 3,600
Correct Answer: 3,500
Solution : Let the total income be $100x$ Now, Percentage of income for travelling = $15\%$ of $100x = 15x$ Remaining income = $100x-15x=85x$ Percentage spent on food = 20% of the remaining amount after spending on travel = $20\%$ of $85x =17x$ Remaining income after spending
Question : Directions: In the following number pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as the numbers of the following sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (42, 370) (57, 505)
Option 1: (29, 253)
Option 2: (31, 288)
Option 3: (49, 449)
Option 4: (84, 747)
Correct Answer: (29, 253)
Solution : Given: (42, 370), (57, 505)
Here, (42, 370)→(42 × 9) – 8 = 378 – 8 = 370 (57, 505)→(57 × 9) – 8 = 513 – 8 = 505
Let's check the options – First option: (29, 253)→(29 × 9) – 8 =
Question : Directions: In the following question, which set of letters, when sequentially placed in the gaps in the given letter series, will complete it? a_d_bd_ab_dd
Option 1: badd
Option 2: ddba
Option 3: bcda
Option 4: dbac
Correct Answer: badd
Solution : Given: a_d_bd_ab_dd
Divide the series into letter clusters – a_d / _bd_ / ab_dd Let's check each option – First option: badd; abd / abdd / abddd (Every part contains the sequence abd with one extra d each time.)
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