Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operations(s) on the first number. The same operation(s) are followed in all the number pairs except one. Find that odd number pair.
Option 1: 4 : 36
Option 2: 2 : 10
Option 3: 5 : 55
Option 4: 3 : 23
Correct Answer: 3 : 23
Solution : Let's check the options — First option: 4 : 36→4 + 42 × 2 = 4 + 32 = 36 Second option: 2 :10→2 + 22 × 2 = 2 + 8 = 10 Third option: 5
Question : The theme of World Environment Day 2022 is ______.
Option 1: Only One Earth
Option 2: Save the Environment for the Future
Option 3: Ecosystem Restoration
Option 4: Nature is Money
Correct Answer: Only One Earth
Solution : The correct option is Only One Earth.
The theme of World Environment Day 2022 was "Only One Earth," echoing the slogan used during the 1972 Stockholm Conference, the first-ever UN environmental summit. This theme served as a powerful reminder of our shared
Question : Which of the following statements is true? I. $\frac{1}{2}+\frac{1}{6}+\frac{1}{12}=\frac{3}{4}$ II. $\frac{1}{6}+\frac{1}{12}+\frac{1}{20}=\frac{3}{5}$
Option 1: Neither I nor II
Option 2: Only II
Option 3: Only I
Option 4: Both I and II
Correct Answer: Only I
Solution : Statement I. $\frac{1}{2}+\frac{1}{6}+\frac{1}{12}=\frac{3}{4}$ Consider L.H.S, $\frac{1}{2}+\frac{1}{6}+\frac{1}{12}$ $=\frac{6+2+1}{12}$ $=\frac{9}{12}=\frac{3}{4}=$ R.H.S ⇒ Statement I is correct. Statement II. $\frac{1}{6}+\frac{1}{12}+\frac{1}{20}=\frac{3}{5}$ Consider L.H.S, $\frac{1}{6}+\frac{1}{12}+\frac{1}{20}$ $=\frac{10+5+3}{60}$ $=\frac{18}{60}=\frac{3}{10}\neq$ R.H.S ⇒ Statement II is incorrect. Hence, the correct answer is 'Only I'.
Question : Directions: A word is represented by only one set of numbers as given in any one 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. A can be represented by 02, 11, etc, and L can be represented by 56, 67, etc. Similarly, you have to identify the set for the word BEARD.
Option 1: 88, 13, 43, 44, 21
Option 2: 88, 87, 43, 21, 13
Option 3: 87, 13, 43, 21, 88
Option 4: 87, 13, 43, 88, 21
Correct Answer: 87, 13, 43, 21, 88
Solution : Given: BEARD
Number representations of each letter – B→59, 65, 76, 87, 98 E→04, 13, 22, 31, 40 A→02, 11, 20, 34, 43 R→03, 12, 21, 30, 44 D→55, 66, 77, 88, 99
First option: 88, 13, 43, 44, 21; B
Question : Double is a ___________ data type.
Option 1: primitive
Option 2: user defined
Option 3: system defined
Option 4: local
Correct Answer: primitive
Solution : The correct option is primitive.
"Double" is a primitive data type in various programming languages, including Java, C++, C#, and others. A primitive data type is a fundamental data type offered by the computer language that is not made up of additional data types. It's
Question : The ratio of incomes of $\mathrm{P}$ and $\mathrm{Q}$ is $1: 2$. Ratio of income of $\mathrm{Q}$ and $\mathrm{R}$ is $3: 2$. If one-third of $\mathrm{P}$ 's income is INR 4400 less than half of P's income, then what is Q's income?
Option 1: INR 56600
Option 2: INR 52800
Option 3: INR 46600
Option 4: INR 41200
Correct Answer: INR 52800
Solution : Given: The ratio of incomes of P and Q is 1: 2 The ratio of income of Q and R is 3: 2 P's income = $x$ Q's income = $2x $ According to the given information: One-third of P's income is INR 4400
Question : In a right-angled $\triangle PQR$, PQ = 5 cm, QR = 13 cm and $\angle P=90^{\circ}$. Find the value of $\tan Q-\tan R$.
Option 1: $\frac{5}{14}$
Option 2: $\frac{119}{60}$
Option 3: $\frac{60}{119}$
Option 4: $\frac{14}{5}$
Correct Answer: $\frac{119}{60}$
Solution : Given: PQ = 5 cm QR = 13 cm $\angle P=90^{\circ}$ In $\triangle PQR$, $RQ^2=PQ^2+PR^2$ ⇒ $13^2=5^2+PR^2$ ⇒ $PR^2=169-25$ ⇒ $PR^2=144$ $\therefore PR = 12$ Now, $\tan Q-\tan R$ $=\frac{12}{5}-\frac{5}{12}$ $=\frac{144-25}{60}$ $=\frac{119}{60}$ Hence, the correct answer is $\frac{119}{60}$.
Question : Parts of the following sentence are given as options. Identify the part that contains a grammatical error. If there is no error, select 'No error'.
Ashwatthama, Drona's / only son, has had developed / a fondness for lavish living.
Option 1: No error
Option 2: a fondness for lavish living.
Option 3: only son, has had developed
Option 4: Ashwatthama, Drona's
Correct Answer: only son, has had developed
Solution : The correct choice is the third option.
It contains an unnecessary verb "has", which is not required and should be omitted to make the sentence grammatically accurate. The use of "has" is unnecessary as the phrase "has had developed" combines the
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.
His only (1)_____ was that he had no rifle. While running away from the village below, he had forgotten the rifle in a hurry. An unpardonable (2)_____, but it was now too late to make amends for it. (3)_____ he had the rifle, his pursuers would not have dared follow him with such brazen confidence. He would have hidden behind a rock and waited for them. As they came within his rifle's range, he would have picked them off one by one. But now he could do (4)_____ about it. He was unarmed. But come what may, he must (5)_____ of their rifle's range.
Question
Select the most appropriate option to fill in the blank number 1.
Option 1: consolation
Option 2: regret
Option 3: shock
Option 4: joy
Correct Answer: regret
Solution : The correct choice is the second option.
A regret is a feeling of sadness, disappointment, or remorse about something that has happened or something that was done in the past.
The meanings of the other options are as follows:
Question : Identify the segment in the sentence that contains a grammatical error. If there is no error, then select the option "No error.". It's 4 p.m. local time and quite a/ large crowd has gathered from yesterday/ evening around the giant stage.
Option 1: evening around the giant stage.
Option 2: large crowd has gathered from yesterday
Option 3: No error
Option 4: It's 4 p.m. local time and quite a
Correct Answer: large crowd has gathered from yesterday
In the given context, from should be replaced with since to indicate the point in time.
Since is commonly used to indicate a point in time from which an action or state began.
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