Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: In the following question, select the related word from the given alternatives. Democracy : India :: Communism : ?
Option 1: France
Option 2: China
Option 3: Britain
Option 4: America
Correct Answer: China
Solution : Given: Democracy : India :: Communism : ?
India is associated with democracy. Similarly, China is associated with communism.
Hence, the second option is correct.
Question : Directions: The following graph represents the transport used by children. Study the graph and answer the given question. If 180 students come walking to school, what is the strength of the school?
Option 1: 540
Option 2: 450
Option 3: 360
Option 4: 600
Correct Answer: 450
Solution : As per the chart, The sum of all the central angles in a pie chart is 360°. The angle at the people walking = 360° – 120° – 72° – 24° = 144° The number of students who come to school by walking = 180
Question : What kind of smell do esters have?
Option 1: Sweet smell like fruits
Option 2: Rotten egg smell
Option 3: Floral smell
Option 4: Pungent smell
Correct Answer: Sweet smell like fruits
Solution : The correct answer is Sweet smells like fruit.
Esters smell like fruit, or they have a fruity smell because the fruit gets its aroma from esters. When alcohol combines with a carboxylic group, esters are produced. Esters are derived from a
Question : The pH of lemon juice is expected to be
Option 1: equal to 7
Option 2: nothing can be predicted
Option 3: less than 7
Option 4: more than 7
Correct Answer: less than 7
Solution : The correct answer is less than 7.
Lemon juice typically has a pH of two to three, making it acidic. Citric acid is the reason for the juice's current level of acidity. Lemon juice's tart flavour makes it a popular addition to baked
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 mirror image properties, closer things appear closer to the mirror in reflection. Here, according to the information provided, the mirror is placed at the bottom of the figure (on line MN). So, the top of the reflected image will appear as the bottom, and
Question : What is the present value of INR 9,360 at an interest rate of 20% at the end of two years compounded annually?
Option 1: INR 6,400
Option 2: INR 6,450
Option 3: INR 6,500
Option 4: INR 6,550
Correct Answer: INR 6,500
Solution : Let the principal amount be Rs. $P$ Compound Interest rate, $r$ = 20% Time period, $T$ = 2 years Now, the total amount after Compound Interest = Rs. 9360 So, $P(1+\frac{r}{100})^T$ = 9360 ⇒ $P= \frac{9360}{(1+\frac{20}{100})^2}$ ⇒ P = 6500 Hence, the correct answer
Question : Directions: A word is represented by only one set of numbers as given in any of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in the two matrices, given below. The columns and rows of Matrix (I) are numbered from 0 to 4 and that of Matrix (II) are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g. I can be represented by 23, 34, etc, and A can be represented by 65, 99, etc. Similarly, you have to identify the set for the word RHINO.
Option 1: 13, 79, 41, 68, 33
Option 2: 40, 56, 23, 97, 20
Option 3: 32, 67, 23, 89, 12
Option 4: 13, 88, 34, 77, 02
Correct Answer: 40, 56, 23, 97, 20
Solution : Given: RHINO
Number representations of each letter – R→01, 13, 24, 32, 40 H→56, 67, 79, 88, 95 I→00, 11, 23, 34, 42 N→55, 68, 76, 89, 97 O→02, 14, 20, 33, 41
First option: 13, 79, 41, 68, 33; I
Question : 10 women can do a piece of work in 6 days, 6 men can do the same work in 5 days, and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man, and a child, respectively?
Option 1: 4 : 6 : 3
Option 2: 4 : 5 : 3
Option 3: 2 : 4 : 3
Option 4: 4 : 8 : 3
Correct Answer: 4 : 8 : 3
Solution : Let the efficiency of women, men, and children be $w, m, c$. 10 Women can do the work in 6 days. ⇒ Work done by 1 woman in 1 day = $w = \frac{1}{10\times 6}= \frac{1}{60}$ Similarly, $m = \frac{1}{30}$ and
Question : Given below are four jumbled sentences. Select the option that gives their correct logical sequence.
A) The young lion tore through the formation and decimated the enemy lines.
B) The enemy soldiers panicked and started killing each other.
C) It is said that he used a weapon with a hallucinating agent that created a chimaera of hundreds of Abhimanyus.
D) Seeing the rout they were facing, young Abhimanyu led a powerful counterattack.
Option 1: CDAB
Option 2: DACB
Option 3: ACBD
Option 4: ABCD
Correct Answer: DACB
Solution : The correct order that forms a meaningful paragraph is the second option: DACB.
Explanation:
Question : The value of the expression is: $\frac{1+2\sin60^{\circ}\cos60^{\circ}}{\sin60^{\circ}+\cos60^{\circ}}+\frac{1-2\sin60^{\circ}\cos60^{\circ}}{\sin60^{\circ}-\cos60^{\circ}}$
Option 1: $2\sqrt{3}$
Option 2: $0$
Option 3: $\sqrt{3}$
Option 4: $2$
Correct Answer: $\sqrt{3}$
Solution : $\frac{1+2\sin60^{\circ}\cos60^{\circ}}{\sin60^{\circ}+\cos60^{\circ}}+\frac{1-2\sin60^{\circ}\cos60^{\circ}}{\sin60^{\circ}-\cos60^{\circ}}$ $=\frac{1+2×\frac{\sqrt3}{2}×\frac{1}{2}}{\frac{\sqrt3}{2}+\frac{1}{2}}+\frac{1-2×\frac{\sqrt3}{2}×\frac{1}{2}}{\frac{\sqrt3}{2}-\frac{1}{2}}$ $=\frac{1+\frac{\sqrt3}{2}}{\frac{\sqrt3+1}{2}}+\frac{1-\frac{\sqrt3}{2}}{\frac{\sqrt3-1}{2}}$ $=\frac{2+\sqrt3}{\sqrt3+1}+\frac{2-\sqrt3}{\sqrt3-1}$ Rationalize, $=\frac{(2+\sqrt3)(\sqrt3-1)}{2}+\frac{(2-\sqrt3)(\sqrt3+1)}{2}$ $=\frac{2\sqrt3-2+3-\sqrt3}{2}+\frac{2\sqrt3+2-3-\sqrt3}{2}$ $=\frac{\sqrt3+1}{2}+\frac{\sqrt3-1}{2}$ $=\frac{2\sqrt3}{2}$ $=\sqrt3$ Hence, the correct answer is $\sqrt3$.
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