Staff Selection Commission Multi Tasking Staff Exam
Question : The value of $\lambda$ for which the expression $x^3 + x^2 - 5x + \lambda$ will be divisible by $(x-2)$ is:
Option 1: 2
Option 2: – 2
Option 3: – 3
Option 4: 4
Correct Answer: – 2
Solution : Given: $(x - 2)$ is a factor of the polynomial $P(x)= x^3 + x^2 - 5x + \lambda$ So, $P(2)=0$ ⇒ $8 + 4 - 10 + λ = 0$ ⇒ $λ + 2 = 0$ ⇒ $λ= -2$ Hence, the correct answer is
Question : Directions: The speeds of five cars Vivek, Laxman, Kamal, Mohan and Ramesh are compared. The speed of Vivek is more than only one car. The speed of Ramesh is more than four cars. Speed of Mohan is more than Vivek's but less than Kamal and Ramesh's. Speed of how many cars is less than the speed of Mohan?
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
Correct Answer: 2
Solution : Given: 1. The speed of Vivek is more than only one car. 2. The speed of Ramesh is more than four cars. 3. Speed of Mohan is more than Vivek's but less than Kamal and Ramesh's.
So, the speed of 2 cars is less than
Question : What chemical element does ‘H’ stand for in the science periodic table?
Option 1: Helium
Option 2: Hydrogen
Option 3: Holmium
Option 4: Mercury
Correct Answer: Hydrogen
Solution : The correct option is Hydrogen.
'H' denotes the chemical element hydrogen in the scientific periodic table. With an atomic number of 1, hydrogen is the first and lightest element in the periodic table. It is the most common element in the universe and is a
Question : Directions: If a mirror is placed on the line AB, then out of the option figures which figure will be the right image of the question figure?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : Directions: If JACOB can be written as QZXLY, then KENDY can be written as ______.
Option 1: PVWMA
Option 2: PVMWB
Option 3: PUMWB
Option 4: PVMWA
Correct Answer: PVMWB
Solution : Given: JACOB can be written as QZXLY –
Find out the opposite of each letter of a given term to obtain the code – ⇒ J and Q are opposite pairs; A and Z are opposite; C and X are opposite; O and L are
Question : Identify the segment that contains a grammatical error. If there is no error, select 'No error'.
Susan had recently run on to / Catherine at the supermarket, they / were seeing each other after many years.
Option 1: were seeing each other after many years.
Option 2: Catherine at the supermarket, they
Option 3: No error
Option 4: Susan had recently run on to
Correct Answer: were seeing each other after many years.
Solution : The error lies in the first option.
Explanation: The error in the original sentence is the use of "were seeing" instead of the past tense "saw". The correction "they saw each other after many years" is appropriate because
Question : The ambient air quality standards (24 hours average) for lead in industrial areas are:
Option 1: 0.65 µg/m3
Option 2: 0.75 µg/m3
Option 3: 1.0 µg/m3
Option 4: 1.5 µg/m3
Correct Answer: 1.5 µg/m3
Solution : The correct answer is 1.5 µg/m3.
The ambient air quality standard for lead in an industrial area is specified as 1.5 µg/m³ for a 24-hour average, which means that the concentration of lead in the air should not exceed this limit over
Question : Comprehension: In the following passage, some of the words have been deleted. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.
Although the (1)______in the Supreme Court arise out of the judgements or orders made by the Subordinate Courts including the High Courts, but of late the Supreme Court has started entertaining (2)______in which interest of the public at large is involved, and the Court can be moved by any (3)_______or group of persons either by filing a Writ Petition at the Filing Counter of the Court or by (4)________a letter to Hon'ble the Chief Justice of India highlighting the question of public importance for (5)_______this jurisdiction. Question: Select the most appropriate option to fill in the blank number 3.
Option 1: personnel
Option 2: species
Option 3: individual
Option 4: fauna
Correct Answer: individual
Solution : The correct choice is the third option.
In this context, the term individual fits well. It means that an individual person can initiate a legal action by filing a writ petition or by sending a letter to the Chief Justice of India.
"Individual" here refers
Question : A man walking at 3 km/hr crosses a square field diagonally in 2 minutes. The area of the field (in square metres) is:
Option 1: 3000
Option 2: 5000
Option 3: 6000
Option 4: 2500
Correct Answer: 5000
Solution : A man walking at the speed of 3 km/hr = $3×\frac{5}{18}=\frac{5}{6}$ m/s The distance covered in 2 min $ = \frac{5}{6}×2×60=100$ m $\therefore$ Length of the diagonal = 100 m $\therefore$ Area of the field $ = \frac{1}{2}×(\text{diagonal})^2=\frac{1}{2}×(100)^2 = 5000$ square metres Hence, the correct
Question : A person deposited Rs. 500 for 4 years and Rs. 600 for 3 years at the same rate of simple interest in a bank. Altogether he received Rs. 190 as interest. The rate of simple interest per annum was:
Option 1: 4%
Option 2: 5%
Option 3: 2%
Option 4: 3%
Correct Answer: 5%
Solution : The formula for simple interest is $SI=\frac{P×R×T}{100}$, where $SI$ is the interest, $P$ is the principal amount, $R$ is the rate of interest, and $T$ is the time in years. Given that a person deposited Rs. 500 for 4 years and Rs. 600 for 3
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