Staff Selection Commission Combined Graduate Level Exam
Question : Find the number of common tangents, if $r_1+r_2=c_1 c_2$. (With usual notations, $r_1\ \text{and}\ r_2$ and $\mathrm{C}_1 \ \text{and}\ \mathrm{C}_2$ are the radii and centres of the two circles.)
Option 1: 1
Option 2: 0
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : Given, C1C2 = r1 + r2 ⇒ The circle touches each other externally. When the circle touches each other externally then there are only three tangents are possible. ⇒ Two direct common tangents and one transverse tangent. Hence, the correct
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at AB as shown.
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. So, according to the above property and the information provided, the mirror is placed on the right side of the figure (on line MN). So, the left side of the
Question : Directions: Three of the following letter-clusters are alike in some manner and hence form a group. Which letter-cluster does not belong to that group?
Option 1: FKA
Option 2: CJZ
Option 3: PUK
Option 4: CHX
Correct Answer: CJZ
Solution : Let's check the options – First option: FKA; F + 5 = K; F – 5 = A Second option: CJZ; C + 7 = J; C – 3 = Z Third option: PUK; P + 5 = U; P – 5 = K Fourth
Question : Which is a specialised excretory cell found in Platyhelminthes that acts like a kidney, removing waste material through filtration?
Option 1: Fat cell
Option 2: Flame cell
Option 3: Stem cell
Option 4: Sponge cell
Correct Answer: Flame cell
Solution : The correct answer is Flame cell.
A flame cell is a type of excretory cell found in freshwater invertebrates such as Platyhelminthes. Flame cells act as a kidney, removing waste materials. Protonephridia are groups of flame cells. Flame cells work on the principle of
Question : What is the source of natural energy of the hot springs at Manikaran in Himachal Pradesh
Option 1: Geothermal energy
Option 2: Biomass energy
Option 3: Thermal energy
Option 4: Hydro energy
Correct Answer: Geothermal energy
Solution : The correct answer is geothermal energy.
Geothermal energy is a renewable source of energy which is generated inside the earth. It is produced by the radioactive day inside the core of earth. When such energy finds its way through the crust, it can be
Question : If $a+\frac{1}{a}=1$, then the value of $\frac{a^2-a+1}{a^2+a+1}$ is $(a\neq 0)$:
Option 2: –1
Option 3: 0
Option 4: 2
Correct Answer: 0
Solution : Given: $a+\frac{1}{a}=1$ ⇒ $\frac{a^2+1}{a}=1$ ⇒ $a^2+1=a$ ⇒ $a^2-a+1=0$ Now, $\frac{a^2–a+1}{a^2+a+1}=\frac{0}{a^2+a+1}=0$ Hence, the correct answer is 0.
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Solution : According to the given figures – 1. The figure with the arrow rotates by 90° in the clockwise direction. 2. The letters are in sequential order and shift their position following the below two patterns – a. Top left→Top right→Bottom right→Bottom left→Top left b. Bottom right→Bottom
Question : P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?
Option 1: 11
Option 2: 12
Option 3: 13
Option 4: 10
Correct Answer: 12
Solution : Given: P and Q can complete a project in 15 days and 10 days, respectively. LCM of 15 and 10 is 30. Let the work be 30 units. Efficiency of P = $\frac{30}{15}=2$ Efficiency of Q = $\frac{30}{10}=3$ Two days of work of P and
Question : A man spends 15% of his income. If his expenditure is Rs. 75, then his income (in Rs.) is:
Option 1: 400
Option 2: 300
Option 3: 750
Option 4: 500
Correct Answer: 500
Solution : Given: A man spends 15% of his income and his expenditure is Rs. 75. Here, 15% is equivalent to Rs. 75. So, 100% is equivalent to $\frac{75×100}{15}$ = Rs. 500 $\therefore$ His income is Rs. 500. Hence, the correct answer is 500.
Question : Select the correct passive form of the given sentence. They are making elaborate arrangements for the party.
Option 1: Elaborate arrangements have been made for the party.
Option 2: Elaborate arrangements are made for the party.
Option 3: Elaborate arrangements are being made for the party.
Option 4: Elaborate arrangements were being made for the party.
Correct Answer: Elaborate arrangements are being made for the party.
Solution : The correct choice is the third 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
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
