Staff Selection Commission Combined Higher Secondary Level Exam
Question : S, T, and U start a business and their capitals are in the ratio of $3:4:6$. At the end, they receive the profit in the ratio of $1:2:3$. What will be the respective ratio of time for which they contribute their capital?
Option 1: $3:2:2$
Option 2: $2:3:3$
Option 3: $2:2:3$
Option 4: $4:5:3$
Correct Answer: $2:3:3$
Solution : Given: The ratio of profit of S, T, and U = $1:2:3$ Let the capital of S, T, and U be $3x$, $4x$ and $6x$ respectively. Let the time of investment of S, T, and U be $a$, $b$, and $c$ respectively. $3ax:4bx:6cx = 1:2:3$
Question : Directions: In the following question, find out the odd number from the given alternatives.
Option 1: 484
Option 2: 529
Option 3: 625
Option 4: 566
Correct Answer: 566
Solution : Let's check the given options First option: 484; (22)2 = 484 Second option: 529; (23)2 = 529 Third option: 625; (25)2 = 625 Fourth option: 566; 566 is not a square of any number.
Therefore, 566 is the odd one out as
Question : Directions: In the following question, select the one that is different from the other three alternatives.
Option 1: 166
Option 2: 131
Option 3: 137
Option 4: 163
Correct Answer: 166
Solution : Let's check the options – First option: 166; The number is even. Second option: 131; The number is odd. Third option: 137; The number is odd. Fourth option: 163; The number is odd.
So, the first option differs from the other three options as it
Question : The centroid of an equilateral triangle $ABC$ is $G$ and $AB = 10 \:\operatorname{ cm}$. The length of $AG$ is:
Option 1: $3\frac{1}{3} \:\operatorname{ cm}$
Option 2: $\frac{10}{\sqrt3} \:\operatorname{ cm}$
Option 3: $10\sqrt3 \:\operatorname{ cm}$
Option 4: $\frac{1}{\sqrt3} \:\operatorname{ cm}$
Correct Answer: $\frac{10}{\sqrt3} \:\operatorname{ cm}$
Solution : Given $AB =BC=AC= 10\ \text{cm}$ Let $AD$ be the median and $G$ be the centroid of an equilateral triangle $ABC$. $G$ divides AD in 2 : 1 ratio. $⇒AG=\frac{2}{2+1}×AD$ Also, D divides BC into equal parts. So, $BD=DC=\frac{10}{2}=5\ \text{cm}$ In $\triangle ABD$, from
Question : Select the most appropriate synonym of the underlined word in the given sentence.
Let us adjourn the meeting here, as it is lunchtime now.
Option 1: Postpone
Option 2: Prohibit
Option 3: Stimulate
Option 4: Expedite
Correct Answer: Postpone
Solution : The first option is the correct answer.
Adjourn means to end or suspend a meeting and postpone aligns closely with this meaning, as it involves delaying or rescheduling an event.
The meanings of the other options are as follows:
Prohibit means to forbid or disallow.
Question : Directions: RSPT is related to VWTX in a certain way based on the English alphabetical order. In the same way, MNKO is related to QROS. Which of the following is GHFI related to, following the same logic?
Option 1: KLHI
Option 2: KLJM
Option 3: KLIM
Option 4: JKHL
Correct Answer: KLJM
Solution : Given: RSPT is related to VWTX –
Add 4 to the place value of each letter of RSPT to obtain the required code – R + 4 = V; S + 4 = W; P + 4 = T; T + 4 = X Thus,
Question : Rearrange the parts of the sentence in the correct order.
The team plans to
P. flowering and fruit production in apple trees
Q. use the data to get a better understanding of
R. health-promoting compounds of interest and employ
S. biotechnological approaches that could speed up
Option 1: QRSP
Option 2: QSPR
Option 3: PQRS
Option 4: RSPQ
Correct Answer: QRSP
Solution : The correct choice is the first option.
The sentence starts with the opening clause, "The team plans to", followed by Part Q, which says that it wants to use data to help understand health-promoting compounds of interest, which is given in Part R, followed
Question : Comprehension:
In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Swollen joints (1)_______ when there is fluid in the tissues around the joints. It can be very (2)_______ and can make it difficult to move the affected joints. In some cases, swelling may cause affected joints to increase in size or appear to be in odd (3)_______. Joint pain and swelling can affect more than one (4)______ at a time. The most common joints to be (5)______ by pain and swelling are elbows, wrists, shoulders, the base of the spine, knuckles, hips, knees, or ankles. Question: Select the most appropriate option to fill in the blank number (1).
Option 1: happen
Option 2: prompt
Option 3: produce
Option 4: suppress
Correct Answer: happen
Solution : The most appropriate option is the first option.
The sentence explains that the occurrence of swollen joints is linked to the presence of fluid around the joints. The word "happen" is fitting in this context because it conveys the idea that swollen joints are a
Question : The production function can be expressed as (where L is labour, C is capital, and Q is the maximum output that can be produced).
Option 1: Q = f(C)
Option 2: L = f(Q, C)
Option 3: Q = f(L)
Option 4: Q = f(L, C)
Correct Answer: Q = f(L, C)
Solution : The correct answer is Q = f(L, C).
The production function is often Q = f(L, C), where Q indicates the maximum output possible given the inputs. In this equation, L represents the labour required in the manufacturing process, while C
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 01, 20, 42, etc. and H can be represented by 65, 57, 98 etc. Similarly, you have to identify the set for the word given in the question. FAITH Matrix I
Matrix II
Option 1: 24, 31, 10, 59, 57
Option 2: 12, 20, 40, 68, 65
Option 3: 31, 34, 23, 76, 79
Option 4: 43, 42, 41, 78, 89
Correct Answer: 31, 34, 23, 76, 79
Solution : Given: FAITH
Number representations of each letter – F→00, 31, 12, 43, 24 A→20, 01, 42, 13, 34 I→10, 41, 32, 23, 04 T→95, 76, 87, 68, 59 H→65, 86, 57, 98, 79
First option: 24, 31, 10, 59, 57; A
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