Staff Selection Commission Combined Graduate Level Exam
Question : Direction: In the following question, select the one which is different from other the three alternatives.
Option 1: ZYX
Option 2: FED
Option 3: NML
Option 4: GHI
Correct Answer: GHI
Solution : Let's check the order of letters of the given alternatives –
First option: ZYX
The letters of ZYX are consecutive alphabets in reverse order.
Second option: FED
The letters of FED are consecutive alphabets in reverse order.
Third option: NML
The letters of NML are
Question : A mixture contains milk and water in a ratio of 5 : 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 : 2. Find the quantity of milk in the mixture.
Option 1: 7 litres
Option 2: 10 litres
Option 3: 5 litres
Option 4: 3 litres
Correct Answer: 5 litres
Solution : Let the quantity of milk and water in the mixture be $5x$ and $3x$. Quantity of water added $=$ 7 litres The new quantity of water in the mixture $= 3x+7$ litres According to the question, $\frac{(5x)}{(3x+7)} = \frac{1}{2}$ ⇒ $10x = 3x+7$ ⇒
Question : The average daily income of 7 men, 11 women, and 2 boys is Rs. 257.50. If the average daily income of men is Rs. 10 more than that of women and the average daily income of women is Rs. 10 more than that of boys, then the average daily income of a man is:
Option 1: Rs. 277.5
Option 2: Rs. 250
Option 3: Rs. 265
Option 4: Rs. 257
Correct Answer: Rs. 265
Solution : Let per day income of a boy, woman, and man be $x, x+10,$ and $x+20,$ respectively. According to the question, $\frac{\text{Total income of (7 Men + 11 Women + 2 Boys)}}{20} = 257.50$ Putting the values, we get: $7(x+20)+11(x+10)+2x = 257.50×20$ $⇒7x+140+11x+110+2x = 5150$
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. MHDM, MYLC, MPTS, MGBI, ?
Option 1: MJXY
Option 2: MNRS
Option 3: MXJY
Option 4: MXYJ
Correct Answer: MXJY
Solution : Given: MHDM, MYLC, MPTS, MGBI, ?
M is constant as the first letter, subtract 9 from the positional value of the second letter and 10 from the positional value of the fourth letter and add 8 to the positional value of the third letter of
Question : If $(x+\frac{1}{x}):(x-\frac{1}{x})=5 : 3$, then the value(s) of $x$ is/are:
Option 1: $\pm 1$
Option 2: $\pm 2$
Option 3: $\pm 3$
Option 4: $0$
Correct Answer: $\pm 2$
Solution : Given: $(x+\frac{1}{x}):(x-\frac{1}{x})=5:3$ By using Componendo and Dividendo rule, $a:b = c:d ⇒ \frac{a+b}{a–b}=\frac{c+d}{c–d}$, where $a=x,b=\frac{1}{x},c=5,$ and $d=3$ By putting the given value of a, b, c, d in the formula, we get: $\frac{x+\frac{1}{x}+x-\frac{1}{x}}{x+\frac{1}{x}-x+\frac{1}{x}}=\frac{5+3}{5-3}$ ⇒ $\frac{2x}{\frac{2}{x}}=\frac{8}{2}$ ⇒ $x^{2}=4$ $\therefore x=\pm 2$ Hence, the correct answer
Question : Directions: Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 625 : 5 :: 2560 : 8 :: 5000 : ?
Option 1: 9
Option 2: 12
Option 3: 10
Option 4: 15
Correct Answer: 10
Solution : Given: 625 : 5 :: 2560 : 8 :: 5000 : ?
Like, 625 : 5; 625 ÷ 5 = 125; 125 = 53 And, 2560 : 8; 2560 ÷ 5 = 512; 512 = 83 Similarly, 5000 : ?; 5000 ÷ 5
Question : Select the most appropriate ANTONYM of the underlined word. The singer complained to the police that she was purportedly attacked back stage immediately after the concert.
Option 1: Maliciously
Option 2: Impossibly
Option 3: Dramatically
Option 4: Severely
Correct Answer: Impossibly
Solution : The second option is the correct answer.
Purportedly means supposedly or allegedly, indicating a claim that may not be proven. On the other hand, impossibly means in a way that is not possible or cannot be done.
The meanings of the other options are as
Question : Directions: Study the following bar graph and answer the question. What is the percentage of marks obtained in Chemistry for both terms?
Option 1: 76.5%
Option 2: 56.7%
Option 3: 75.6%
Option 4: 67.5%
Correct Answer: 67.5%
Solution : The total marks of Chemistry in both terms = 100 + 100 = 200 The marks of students in Chemistry in both terms = 70 + 65 = 135 The percentage of marks obtained in Chemistry for both the terms = $\frac{135}{200}×100$ The percentage of
Question : Direction: In the following question, select the missing number from the given responses.
Option 1: 52
Option 2: 144
Option 3: 64
Option 4: 38
Correct Answer: 144
Solution : Given:
In the first column, 16 × 2 = 32 → 32 × 3 = 96
In the second column, 24 × 2 = 48 → 48 × 3 = 144
In the third column, 28
Question : Directions: Four letter clusters have been given out of which three are alike in some manner and one is different. Select the one that is different.
Option 1: MJG
Option 2: GEB
Option 3: WTQ
Option 4: OLI
Correct Answer: GEB
Solution : Let's check each option – First option: MJG→M – 3 = J; J – 3 = G Second option: GEB→G – 2 = E; D – 3 = B Third option: WTQ→W – 3 = T; T – 3 = Q Fourth option: OLI→O –
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