Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In a certain code language, YOU is written as 71 and TOO is written as 60. How will SIT be written in that language?
Option 1: 90
Option 2: 96
Option 3: 58
Option 4: 94
Correct Answer: 58
Solution : Given: YOU is written as 71 –
Add the position values of the letters of the given word YOU then add 10 to the resultant number to obtain the required code – Y→25; O→15; U→21 Now, add the position values of the given word YOU
Question : The sentences of a paragraph are given below. While the first and the last sentences (S1 and S6) are in the correct order, the sentences in between are jumbled up. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
S1. He sat in his seat A. hardly showing any signs of hearing B. beside the bed, C. gazing sternly D. at the patient’s face S6. what they were saying to him.
Option 1: DABC
Option 2: BCDA
Option 3: DCAB
Option 4: DBAC
Correct Answer: BCDA
Solution : The correct choice is the second option: BCDA.
The logic behind the rearrangement is to first establish the setting followed by describing the character's action, and then specifying the target of his gaze. Next, we observe the patient's behaviour before concluding with the context
Question : From point P on the level ground, the angle of elevation to the top of the tower is 30°. If the tower is 100 metres high, the distance of point P from the foot of the tower is: (Take $\sqrt{3}$ = 1.73)
Option 1: 149 m
Option 2: 156 m
Option 3: 173 m
Option 4: 188 m
Correct Answer: 173 m
Solution : Let AB be the tower. Given: AB = 100 m and $\theta$ = 30° In $\triangle$ PAB, $\tan$ $\theta$ = $\frac{AB}{PB}$ ⇒ $\tan 30°$ = $\frac{100}{PB}$ ⇒ $\frac{1}{\sqrt{3}}$ = $\frac{100}{PB}$ ⇒ $PB = 100 × \sqrt{3} = 100 × 1.73 = 173$ m Hence,
Question :
Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) which may improve the sentence. Choose the correct alternative. In case, no improvement is needed your answer is (4).
He speaks not only English but Hindi as well.
(1) as well as Hindi
(2) Hindi too
(3) also Hindi
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice for the sentence is the third option.
"Not only... but also" is a correlative conjunction used to connect two elements in a sentence to emphasise the relationship between them. It is used to show that both elements are important, and it is
Question : If $x=a+\frac{1}{a}$ and $y=a-\frac{1}{a}$, then the value of $x^4+y^4-2x^2y^2$ is:
Option 1: 4
Option 2: 8
Option 3: 16
Option 4: 64
Correct Answer: 16
Solution : Given: $x=a+\frac{1}{a}$, $y=a-\frac{1}{a}$ Now, $x^2=(a+\frac{1}{a})^2=a^2+\frac{1}{a^2}+2$ And $y^2=(a-\frac{1}{a})^2=a^2+\frac{1}{a^2}-2$ Now, we know, $x^4+y^4-2x^2y^2=(x^2-y^2)^2$ $⇒x^4+y^4-2x^2y^2= [(a^2+\frac{1}{a^2}+2)-(a^2+\frac{1}{a^2}-2)]^2$ $\therefore x^4+y^4-2x^2y^2=(2+2)^2=16$ Hence, the correct answer is 16.
Question : A sentence has been given with a blank to be filled with an appropriate word. Choose the correct alternative.
His heart pounded as he checked his rearview mirror and saw only the dark _______ of highway.
Option 1: vitality
Option 2: stretch
Option 3: trench
Option 4: emancipation
Correct Answer: stretch
Solution : The second option is the correct choice.
Stretch means a continuous extent or expanse. In the context of the sentence, it refers to the view of the highway in the rearview mirror.
The meanings of the other options are as follows:
Vitality means energy or
Question : Directions: The bar graph represents the number of road accidents due to buses and cars during the years 2008 to 2013. Study the graph and answer the questions.
The total number of road accidents in the year 2009, 2011 and 2013 combined is:
Option 1: 1,80,000
Option 2: 1,10,000
Option 3: 70,000
Option 4: 1,60,000
Correct Answer: 1,80,000
Solution : As per the given graph: The total number of road accidents in the year 2009 = 30 + 40 = 70 thousand. The total number of road accidents in the year 2011 = 60 + 20 = 80 thousand. The total number of road accidents
Question : The maximum value of $5+20x-4x^{2}$, when $x$ is a real number, is:
Option 1: 1
Option 2: 5
Option 3: 25
Option 4: 30
Correct Answer: 30
Solution : Given: $5+20x-4x^{2}$ If an expression is in the form of $ax^{2}+bx+c$, then the maximum value is given by ($c-\frac{b^2}{4a}$). Here, $c = 5$, $b = 20$ and $a = -4$ $\therefore$ Maximum value = $5-\frac{20^2}{4×(–4)}$ = $5 - \frac{400}{–16}$ = $5-(-25)$ = $30$ Hence, the
Question : The largest producer of Lac in India is
Option 1: Chhattisgarh
Option 2: Jharkhand
Option 3: West Bengal
Option 4: Gujarat
Correct Answer: Jharkhand
Solution : The correct answer is Jharkhand.
Lac is a resin produced by the insect Kerria lacca. It is a bug and is the principal source of lac. Lac is used in a wide range of products, such as bangles, fillers, furniture, drugs, cosmetics, food, etc.
Question : x, y, and z are distinct prime numbers where x < y < z. If x + y + z = 70, then what is the value of z?
Option 1: 29
Option 2: 43
Option 3: 31
Option 4: 37
Correct Answer: 37
Solution : Given: x, y, and z are distinct prime numbers where x < y < z. x + y + z = 70 The sum indicates that at least one integer is even because odd + odd + odd = odd. There is just one even
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