Staff Selection Commission Combined Higher Secondary Level Exam
Question : A shopkeeper allows a 20 percent discount on the marked price of an article and he suffers a loss of 5 percent. If the article is sold at marked price, then what will be the profit percentage?
Option 1: 8.33 percent
Option 2: 16.25 percent
Option 3: 18.75 percent
Option 4: 17.25 percent
Correct Answer: 18.75 percent
Solution : Here, MP denotes the marked price, CP denotes the cost price. Discount = 20% Loss = 5% $\frac{\text{MP}}{\text{CP}} = \frac{(100-\text{Loss})}{(100-\text{Discount})}$ ⇒ $\frac{\text{MP}}{\text{CP}} = \frac{(100-5)}{(100-20)}$ ⇒ $\frac{\text{MP}}{\text{CP}} = \frac{95}{80}= \frac{19}{16}$ If there is no discount, means discount = 0%, then profit % $\frac{\text{MP}}{\text{CP}} = \frac{(100+\text{Profit})}{(100-\text{Discount})}$
Question : Directions: Select the related letters from the given alternatives. RORRIM : MIRROR :: TNESERP : ?
Option 1: TNERESP
Option 2: PRESENT
Option 3: CRESENT
Option 4: STNERPE
Correct Answer: PRESENT
Solution : Given: RORRIM : MIRROR :: TNESERP : ?
On reversing the letters of RORRIM, we get – MIRROR Thus, RORRIM is coded as MIRROR. Similarly, follow the same pattern for TNESERP – On reversing the letters of TNESERP, we get – PRESENT
Thus, TNESERP is
Question : Directions: Words given on the left side of (::) are related to each other by some Logic/Rule/Relation. Select the missing word/word pair on the right side of (::) from the given alternatives based on the same Logic/Rule/Relation. Rain : Patter :: Goat : ?
Option 1: Bleat
Option 2: Neigh
Option 3: Hiss
Option 4: Bark
Correct Answer: Bleat
Solution : Given: Rain : Patter :: Goat : ?
Like, Patter is the sound made by rain. Similarly, bleat is the sound made by the goat.
Hence, the first option is correct.
Question : Who is called the "Father of Economics"?
Option 1: Max Muller
Option 2: Karl Marx
Option 3: Adam Smith
Option 4: Alfred Marshall
Correct Answer: Adam Smith
Solution : The correct answer is Adam Smith.
The "Father of Economics" is Adam Smith. He was a Scottish economist. Smith's most famous work, The Wealth of Nations, was published in 1776. Smith argued in his book that the free market is a substantial way
Question : In a triangle $ABC$, side $BC$ is produced to $D$ such that $\angle A C D=127^{\circ}$. If $\angle A B C=35^{\circ}$, then find $\angle B A C$.
Option 1: 82°
Option 2: 92°
Option 3: 95°
Option 4: 75°
Correct Answer: 92°
Solution : Given, In a triangle $ABC$, $\angle A C D=127^{\circ}$ and $\angle A B C=35^{\circ}$ By exterior angle property, $\angle A C D = \angle A B C+\angle B A C$ $⇒127^{\circ} = 35^{\circ}+\angle B A C$ $⇒\angle B A C=127^{\circ} - 35^{\circ}$ $\therefore\angle B A
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. R can be represented by 12, 23, etc, and G can be represented by 77, 88, etc. Similarly, you have to identify the set for the word FRIEND.
Option 1: 76, 23, 85, 21, 78, 20
Option 2: 87, 23, 79, 21, 78, 20
Option 3: 87,12, 68, 21, 99, 33
Option 4: 98, 23, 68, 96, 78, 20
Correct Answer: 87, 23, 79, 21, 78, 20
Solution : Given: FRIEND
Number representations of each letter – F→65, 76, 87, 98 R→01, 12, 23, 34 I→57, 68, 79, 89 E→10, 21, 32, 43 N→56, 67, 78, 99 D→20, 31, 42
First option: 76, 23, 85, 21, 78, 20; I
Question : The following bar graph shows the sales of tractors by a showroom in different months. What was the approximate percentage decline from August to September?
Option 1: 33%
Option 2: 51%
Option 3: 46%
Option 4: 55%
Correct Answer: 46%
Solution : Number of tractors sold in September = 1875 Number of tractors sold in August = 3475 The decline in the number of tractors from August to September = 3475 – 1875 = 1600 Percentage decline in the number of tractors = $\frac{1600}{3475} \times 100 =
Question : Per Capita income is equal to
Option 1:
Option 2: National Income + Population
Option 3: National Income - Population
Option 4: National Income x Population
Correct Answer:
Solution : The Correct Answer is National Income / Total Population of the Country.
The mean income calculated for each man, woman, and child in a given group, including those residing in communal housing, is known as per capita income. A country's per capita income is determined by
Question : If $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$, where $2 \theta$ is an acute angle, then the value of $\theta$ is:
Option 1: 18°
Option 2: 36°
Option 3: 30°
Option 4: 42°
Correct Answer: 42°
Solution : Given, $\tan 2 \theta=\cot \left(\theta-36^{\circ}\right)$ ⇒ $\tan 2 \theta=\tan \left(90^{\circ}-\theta+36^{\circ}\right)$ ⇒ $2\theta=126^{\circ}-\theta$ ⇒ $3\theta=126^{\circ}$ $\therefore \theta=42^{\circ}$ Hence, the correct answer is 42°.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. Upgrading the higher education sector, especially in terms of patents filed and cutting-edge research output, is (1)______ in improving India’s global ranking. Our sustainable (2)______ development depends on human resources. A quality higher education base is essential to reap the full benefits of our demographic dividend. In higher education, the strategies of the 12th plan (3)______ on technical education, distance learning, quality research, infrastructure, faculty, and curriculum content. (4)______ efforts of the government departments and the private sector are needed to (5)______ the plan’s educational goals. Select the most appropriate option to fill in the blank number 5.
Option 1: remain
Option 2: realise
Option 3: conclude
Option 4: conduct
Correct Answer: realise
Solution : The correct choice is the second option.
Realise in this context means to achieve or make something happen. It indicates that the joint efforts of government departments and the private sector are necessary to achieve the educational goals outlined in the plan.
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