Staff Selection Commission Combined Higher Secondary Level Exam
Question : A table is sold at Rs 1800 at a loss of 10%. At what price should it be sold to earn a profit of 15%?
Option 1: Rs. 2070
Option 2: Rs. 1890
Option 3: Rs. 2000
Option 4: Rs. 2300
Correct Answer: Rs. 2300
Solution : Let CP of the table be Rs. $y$ At a loss of 10%, Selling price = $\frac{(100-10)}{100}\times 2=\frac{90y}{100}$ According to the question, $\frac{90y}{100}=1800$ ⇒ $y=2000$ For a profit of 15%. Selling Price = $\frac{2000 \times (10+15)}{100}=\text{Rs.}\ 2300$ Hence, the correct answer is Rs. 2300.
Question : Which of the following pairs regarding the peninsular plateau of India is correct?
I. Central Highlands – south of Narmada River II. Deccan Plateau – north of Narmada River.
Option 1: Only I
Option 2: Both I and II
Option 3: Neither I nor II
Option 4: Only II
Correct Answer: Neither I nor II
Solution : The correct option is Neither I nor II.
Neither I nor II is correct. The Central Highlands lie north of the Narmada River, not south. The Deccan Plateau, primarily characterised by the triangular Deccan Trap, is south of the Narmada River,
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".
Grandfather always (finds faults) with the poor gardener.
(1) find fault
(2) find faults
(3) is finding faults
(4) No Improvement
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 4
Solution : The fourth option is the correct choice.
The phrase "finds fault" means criticising someone, which is correctly used, thereby indicating that grandfather habitually criticises the gardener.
Therefore, the given sentence requires no improvement.
Question : If each edge of a square is doubled, then the increase percentage in its area is:
Option 1: 200%
Option 2: 250%
Option 3: 280%
Option 4: 300%
Correct Answer: 300%
Solution : The area of a square = $s^2$, where $s$ is the length of a side. If the side length is doubled, the new area = $(2s)^2 = 4s^2$ The increase in area = $4s^2 - s^2 = 3s^2$ The percentage increase in area $=\frac{3s^2}{s^2} \times
Question : Directions: Five students are standing one behind the other in the playground facing the instructor. Malini is behind Anjana but in front of Gayathri. Meena is in front of Shena but behind Gayathri. What is the position of Meena?
Option 1: Second from last
Option 2: Extreme first
Option 3: Extreme last
Option 4: Second from first
Correct Answer: Second from last
Solution : According to the given statement, Malini is behind Anjana but in front of Gayathri. So, the arrangement is –
Also, Meena is in front of Shena but behind Gayathri. So, the arrangement –
The final arrangement –
Question : If $r\sin\theta=\frac{7}{2}$ and $r\cos\theta=\frac{7\sqrt{3}}{2}$, then the value of $r$ is:
Option 1: 4
Option 2: 3
Option 3: 5
Option 4: 7
Correct Answer: 7
Solution : Given: $r\sin\theta=\frac{7}{2}$ ------(1) $r\cos\theta=\frac{7\sqrt{3}}{2}$ ------(2) Squaring and adding both equations, we have: ⇒ $r^{2}\sin^2\theta+r^{2}\cos^{2}\theta=(\frac{7}{2})^{2}+(\frac{7\sqrt{3}}{2})^{2}$ ⇒ $r^{2}(\sin^2\theta+\cos^{2}\theta)=\frac{49}{4}+\frac{147}{4}$ ⇒ $r^{2}=\frac{196}{4}$ ⇒ $r^{2}=49$ $\therefore r=\sqrt{49}=7$ Hence, the correct answer is 7.
Question : A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together then in how many days can they do half of the job?
Option 1: $\frac{40}{7}$
Option 2: $\frac{24}{7}$
Option 3: $\frac{7}{2}$
Option 4: $\frac{9}{2}$
Correct Answer: $\frac{24}{7}$
Solution : Given: A can do 75% of a job in 9 days and B can do half of the job in 8 days. Let the total work be $a$ units. So, work done by A in 1 day = $\frac{75a}{100}×\frac{1}{9}$ = $\frac{a}{12}$ units, and work done
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 22
Option 2: 24
Option 3: 25
Option 4: 28
Correct Answer: 24
Solution : For each figure, multiply and add the numbers in the top right and bottom left corners to get the top left and bottom right numbers respectively. Figure one: 4 × 7 = 28; 4 + 7 = 11 Figure two: 5 × 5 = 25;
Question : Directions: The following series has one number missing. Select the missing number from the given alternatives. 19, 9, 28, 37, 65, ?
Option 1: 99
Option 2: 97
Option 3: 102
Option 4: 113
Correct Answer: 102
Solution : Given: 19, 9, 28, 37, 65, ?
Add the first two numbers to get the third number, then add the second and third numbers to get the fourth number, and so on. 19 + 9 = 28; 9 + 28 = 37; 28 + 37
Question : Directions: Three of the following four are alike in a certain way and thus form a group. Which is the one that does NOT belong to that group? (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.)
Option 1: 18 – 37
Option 2: 33 – 67
Option 3: 29 – 59
Option 4: 27 – 53
Correct Answer: 27 – 53
Solution : Let's check the options – First option: 18 – 37; (18 × 2) + 1 = 36 + 1 = 37 Second option: 33 – 67; (33 × 2) + 1 = 66 + 1 = 67 Third option: 29 – 59; (29
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