Staff Selection Commission Combined Higher Secondary Level Exam
Question : Directions: Four triads of numbers have been given out of which three are alike in some manner and one is different. Select a different one. (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.)
Option 1: 14 – 44 – 29
Option 2: 36 – 66 – 51
Option 3: 29 – 44 – 14
Option 4: 21 – 51 – 36
Correct Answer: 29 – 44 – 14
Solution : Let's check each option – First option: (14 – 44 – 29); (14 + 44) ÷ 2 = 58 ÷ 2 = 29 Second option: (36 – 66 – 51); (36 + 66) ÷ 2 = 102 ÷ 2 = 51
Question : The following sentence has been split into four segments. Identify the segment that contains a spelling error. According to a report / every day / thousands of animals / are slautered.
Option 1: thousands of animals
Option 2: are slautered
Option 3: every day
Option 4: According to a report
Correct Answer: are slautered
Solution : The correct choice is the second option.
Explanation: The incorrectly spelt word is "slautered". The correct spelling is "slaughtered". The misspelling in the given segment is a typographical error, and the correct spelling of the word is needed to maintain proper
Question : Who was the first Indian woman to win an Olympic medal?
Option 1: Neelamshetty Appanna
Option 2: Karnam Malleswari
Option 3: Saina Nehwal
Option 4: Sakshi Malik
Correct Answer: Karnam Malleswari
Solution : The correct option is Karnam Malleswari
The first Indian woman to win an Olympic medal was Karnam Malleswari. She won a bronze medal in weightlifting at the Sydney Olympics in 2000 in the 69 kg category.
Question : If $\sqrt x-\sqrt y=1$ , $\sqrt x+\sqrt y=17$, then $\sqrt {xy}=?$
Option 1: $\sqrt{72}$
Option 2: $72$
Option 3: $32$
Option 4: $24$
Correct Answer: $72$
Solution : $\sqrt{x}-\sqrt{y} = 1$------(1) ⇒ $\sqrt{x} =1 +\sqrt{y}$ Inserting the value of $\sqrt{x}$ in the other equation, we get, $\sqrt{x} +\sqrt{y} = 17$ ⇒ $1+\sqrt{y} +\sqrt{y} = 17$ ⇒ $2\sqrt{y} = 16$ ⇒ $\sqrt{y} = 8$ Putting the value of $\sqrt{y} = 8$ in equation (1),
Question : On dividing a number by 38, we get 90 as the quotient and 19 as the remainder. What is the number?
Option 1: 3401
Option 2: 3382
Option 3: 3458
Option 4: 3439
Correct Answer: 3439
Solution : Given: Divisor = 38, Quotient = 90 and Remainder = 19 We know, Dividend = (Divisor × Quotient) + Remainder = (38 × 90) + 19 = 3420 + 19 = 3439 Hence, the correct answer is 3439.
Question : If $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ and $a-b=10$, then the value of $ab$ is:
Option 1: $32 \frac{1}{7}$
Option 2: $32 \frac{3}{7}$
Option 3: $32 \frac{4}{7}$
Option 4: $32 \frac{2}{7}$
Correct Answer: $32 \frac{1}{7}$
Solution : Given: $\sqrt{\frac{\mathrm{a}}{\mathrm{b}}}=\frac{8}{3}-\sqrt{\frac{\mathrm{b}}{\mathrm{a}}}$ ⇒ $\sqrt\frac{a}{b} + \sqrt\frac{b}{a} = \frac{8}{3}$ Squaring both sides, we have, ⇒ $\frac{a}{b}+\frac{b}{a}+2=\frac{64}{9}$ ⇒ $\frac{a^2 + b^2}{ab} = \frac{64-18}{9}$ ⇒ $a^2 + b^2 = \frac{46ab}{9}$ Now, $a-b=10$ Squaring both sides, ⇒ $a^2 + b^2 - 2ab = 100$ ⇒ $\frac{46ab}{9} - 2ab
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
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