Staff Selection Commission Combined Graduate Level Exam
Question : Rice worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio of 1 : 1 : 2. If the mixture is worth Rs.153 per kg, then the price of the third variety per kg (in Rs.) is:
Option 1: 182.5
Option 2: 195.5
Option 3: 133.5
Option 4: 175.5
Correct Answer: 175.5
Solution : The first and second varieties are mixed in equal proportions. Their average price = $\frac{126 + 135}{2}$ = Rs.130.50 So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at Rs.$x$ per kg, in the ratio 2
Question : Parts of the following sentence have been underlined and given as options.Select the option that contains a spelling error.
If more is desired than the instantanious impact on the mind, the advertising value of the poster falls sharply, within limits of outdoor publicity, however it is at present unchallenged.
Option 1: unchallenged
Option 2: instantanious
Option 3: desired
Option 4: advertising
Correct Answer: instantanious
Solution : The correct answer is the second option.
The correct spelling should be instantaneous. It means occurring in an instant or happening immediately.
The meanings of the other options are as follows:
Unchallenged: This word is spelt correctly. It means not disputed or questioned, indicating that
Question : Molybdenum deficiency affects the activity of:
Option 1: All of the given options
Option 2: Chlorate reductase
Option 3: Nitrogenase
Option 4: Nitrate reductase
Correct Answer: Nitrate reductase
Solution : The correct answer is Nitrate reductase.
In most plants, symptoms of molybdenum deficiency are coupled with a buildup of nitrate in the afflicted plant component. This is due to low nitrate reductase activity. Pale leaves with interveinal and marginal chlorosis (yellowing) and necrosis (scald);
Question : Jehangir had to cover a distance of 90 km in an hour. During the first 25 minutes, he travelled at a speed of 15.2 metres per second. How many metres did Jehangir cover per second during the remaining period to reach his destination just in time?
Option 1: 30.8
Option 2: 32.5
Option 3: 32
Option 4: 31.2
Correct Answer: 32
Solution : Given: Total distance = 90 km Time = 1 hour Journey in first 25 minutes = 15.2 × 25 × 60 = 22800 m = 22.8 km Remaining distance = 90 – 22.8 = 67.2 km Remaining time = 60 – 25 = 35 minutes
Question : Directions: Arrange the following words as per the order in the dictionary. 1. Scarf 2. Scene 3. Shell 4. Survey 5. Stream
Option 1: 1, 2, 4, 5, 3
Option 2: 2, 4, 5, 1, 3
Option 3: 3, 1, 2, 5, 4
Option 4: 1, 2, 3, 5, 4
Correct Answer: 1, 2, 3, 5, 4
Solution : Given: 1. Scarf 2. Scene 3. Shell 4. Survey 5. Stream
Step 1: Since all the words start with the letter S, so move on to the next letter. Step 2: Compare the second letter of (Scarf, S
Question : Direction: In the following question a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
0, 7, 26, 63, ?
Option 1: 123
Option 2: 87
Option 3: 96
Option 4: 124
Correct Answer: 124
Solution : Given –
The pattern follow for the series is –
0 + 7 = 7; 7 + 19 = 26; 26 + 37 = 63; 63 + 61 = 124
The series is 0, 7, 26, 63,
Question : Describe how you will tell everyone that Mr. Akhil opened the gate in passive voice.
Option 1: The gate was opened by Mr.Akhil.
Option 2: Mr.Akhil open the gate.
Option 3: The gate been open by Mr.Akhil.
Option 4: The gate opened by Mr.Akhil.
Correct Answer: The gate was opened by Mr.Akhil.
Solution : The correct choice is the first option.
Passive voice is the voice in which the object experiences an action rather than the person who acts. Hence, the object in the active sentence becomes the subject in the passive voice.
The
Question : Direction: From the given alternative words, select the word that cannot be formed using the letters of the given word.
BOOKBINDING
Option 1: DINING
Option 2: BONDING
Option 3: DOING
Option 4: DIGGING
Correct Answer: DIGGING
Solution : Given: BOOKBINDING
Option first: DINING
All the letters of DINING are present in the word BOOKBINDING.
Option second: BONDING
All the letters of BONDING are present in the word BOOKBINDING.
Option third: DOING
All the letters of DOING are present in the word BOOKBINDING.
Option
Question : The value of $\frac{(x-y)^3+(y-z)^3+(z-x)^3}{6(x-y)(y-z)(z-x)}$, where $x \neq y \neq z$, is equal to:
Option 1: $\frac{1}{4}$
Option 2: $\frac{1}{2}$
Option 3: $\frac{1}{3}$
Option 4: $\frac{1}{9}$
Correct Answer: $\frac{1}{2}$
Solution : Given expression, $\frac{(x-y)^3+(y-z)^3+(z-x)^3}{6(x-y)(y-z)(z-x)}$ Let $x-y = a,$ $y-z = b,$ and $z-x = c$ ⇒ The given expression becomes, $\frac{a^3+b^3+c^3}{6abc}$ Now, $a+b+c= x-y+y-z+z-x = 0$ ⇒ When $a+b+c=0,\ a^3 + b^3 + c^3 = 3abc$ ⇒ $\frac{a^3+b^3+c^3}{6abc} = \frac{3abc}{6abc}=\frac{1}{2}$ Hence, the correct answer is $\frac{1}{2}$.
Question : Directions: Three of the following four-letter clusters are alike in a certain way and one is different. Pick the odd one out.
Option 1: ADZV
Option 2: MPNK
Option 3: FIUR
Option 4: TWGD
Correct Answer: ADZV
Solution : Let's check the options – First option: ADZV; The First and the third letters are opposite letters but the second and the fourth letters are not opposite letters. Second option: MPNK; The first and the third letters are opposite letters similarly, the second and the
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