Staff Selection Commission Combined Higher Secondary Level Exam
Question : What is the fourth proportional to 24, 120, and 22?
Option 1: 110
Option 2: 120
Option 3: 100
Option 4: 90
Correct Answer: 110
Solution : The fourth proportion to 24, 120, and 22 is found using the formula. If $a:b = c:d$, then $d = \frac{b×c}{a}$ We have, Let $a = 24, b = 120$, and $c = 22$ $d = \frac{120×22}{24}$ $\therefore d$ = 110 Hence, the correct answer
Question : Parts of the following sentence have been given as options. Select the option that contains an error. The lack of mutual bonding was conspicuous from their shody body language in the marriage party.
Option 1: conspicuous
Option 2: shody
Option 3: marriage
Option 4: mutual
Correct Answer: shody
Solution : The error lies in the second option.
The correct spelling should be shoddy, which means poor quality or inferior workmanship.
The meanings of the other options are as follows:
Question : What is the expansion of $(2+\frac{1}{p})^2$?
Option 1: $4+\frac{4}{p}+\frac{1}{p^2}$
Option 2: $2+\frac{2}{p}+\frac{1}{p^2}$
Option 3: $2+\frac{4}{p}+\frac{1}{p^2}$
Option 4: $4+\frac{2}{p}+\frac{1}{p^2}$
Correct Answer: $4+\frac{4}{p}+\frac{1}{p^2}$
Solution : Given: $(2+\frac{1}{p})^2$ $=2^2+\frac{1}{p^2}+2\times2\times\frac{1}{p}$ $=4+\frac{1}{p^2}+\frac{4}{p}$ Hence, the correct answer is $4+\frac{4}{p}+\frac{1}{p^2}$.
Question : Directions: In the following question, select the related number from the given alternatives. 6 : 34 :: 9 : ?
Option 1: 36
Option 2: 45
Option 3: 81
Option 4: 79
Correct Answer: 79
Solution : Given: 6 : 34 :: 9 : ?
Like, 6 : 34→62 – 2 = 36 – 2 = 34 Similarly, for 9 : ?→92 – 2 = 81 – 2 = 79
So, 9 is related to 79. Hence, the fourth option
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. I can be represented by 13, 21, etc. and B can be represented by 57, 65, etc. Similarly, you have to identify the set for the word given in the question. FADE Matrix I
Matrix II
Option 1: 76, 02, 75, 32
Option 2: 68, 20, 57, 14
Option 3: 55, 33, 65, 23
Option 4: 89, 10, 96, 41
Correct Answer: 76, 02, 75, 32
Solution : Given: FADE
Number representations of each letter – F→55, 76, 97, 68, 89 A→10, 41, 02, 33, 24 D→75, 56, 87, 69, 99 E→20, 01, 32, 43, 14
First option: 76, 02, 75, 32; All the letters of the word FADE can
Question : Select the most appropriate option that can substitute the underlined words in the following sentence.
He will be looking as if he has not slept.
Option 1: He looks
Option 2: He has look
Option 3: He was looking
Option 4: He will be look
Correct Answer: He looks
Solution : The first option is the correct answer.
The sentence is set in the present tense. This is the only option that is set in the present tense and fits the sentence. The other options do not fit the sentence.
Therefore, the correct sentence
Question : A is twice as a good worker as B and together they finish the work in 20 days. In how many days can A alone do it?
Option 1: 25 days
Option 2: 36 days
Option 3: 20 days
Option 4: 30 days
Correct Answer: 30 days
Solution : Let the efficiency of B be $x$. ⇒ The efficiency of A is 2$x$. Total number of days needed to complete the work if A and B worked together = 20 days Total work done = Total number of days × Total efficiency =
Question : The pie chart given below shows the expenditure of a family in percentage during a certain year. If the total amount spent during the year is Rs.3,00,000. On which of the following items, the amount spent together is equal to Rs.1,50,000?
Option 1: Education, Others, Savings
Option 2: Transport, Others, Education
Option 3: Savings, Housing, Education
Option 4: Savings, Clothing, Education
Correct Answer: Transport, Others, Education
Solution : The total amount spent during the year is Rs. 3,00,000. The amount spent together on some items is equal to Rs. 1,50,000. ⇒ $\frac{150000}{300000} \times 100 = 50\%$ $\therefore$ Transport, Others, Education = 10% + 15% + 25% = 50% Hence, the correct
Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given set. (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.) (9, 15, 21) (31, 37, 43)
Option 1: (32, 38, 43)
Option 2: (45, 51, 56)
Option 3: (65, 71, 77)
Option 4: (23, 28, 39)
Correct Answer: (65, 71, 77)
Solution : Given: (9, 15, 21); (31, 37, 43)
Add 6 to the first and second numbers, to get the second and third numbers respectively. (9, 15, 21)→9 + 6 = 15; 15 + 6 = 21 (31, 37, 43)→31 + 6 = 37; 37
Question : By which Constituional Amendment Bill, did the Parliament lower the voting age from 21 to 18 years ?
Option 1: 42nd
Option 2: 44th
Option 3: 61st
Option 4: 73rd
Correct Answer: 61st
Solution : The Correct Answer is 61st
The 61st Constitutional Amendment Act of 1988 changed the voting age in India from 21 to 18. To encourage more young people to vote in the nation's elections, a proposal to lower the voting age to 18 years old was
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