Staff Selection Commission Combined Graduate Level Exam
Question : If $a+b+c$ = 6 and $ab+bc+ca$ = 11, then the value of $bc(b+c)+ca(c+a)+ab(a+b)+3abc$ is:
Option 1: 33
Option 2: 66
Option 3: 55
Option 4: 23
Correct Answer: 66
Solution : Given: $a+b+c$ = 6 and $ab+bc+ca$ = 11 To find: $bc(b+c)+ca(c+a)+ab(a+b)+3abc$ = $b^2c+bc^2+c^2a+ca^2+a^2b+ab^2+abc+abc+abc$ = $bc(a+b+c)+ac(a+b+c)+ab(a+b+c)$ = $(a+b+c)(ab+bc+ac)$ Putting the values, we get ⇒ 6$×$11 = 66 Hence, the correct answer is 66.
Question : Potato is a_____.
Option 1: root
Option 2: stem
Option 3: bud
Option 4: fruit
Correct Answer: stem
Solution : The answer is a stem.
Potato (Solanum tuberosum) is a starchy, edible tuber that is a modified underground stem, also known as a tuber. A tuber is an expanded storage structure used by plants to store nutrients. Potato plants grow underground and produce these tubers
Question : Directions: A watch company produces four different products. The sale of these products in lakhs during 2005 and 2010 is shown in the following bar diagram. Study the graph and answer the question.
The sales of table clocks in 2010 were less than the sales of wall clocks in 2010 nearly by:
Option 1: 70.5%
Option 2: 69.05%
Option 3: 68.05%
Option 4: 62.05%
Correct Answer: 69.05%
Solution : As per the given graph, The sales of table clocks in 2010 = 9.5 lakh The sales of wall clocks in 2010 = 30.7 lakh The required percentage = $\frac{30.7-9.5}{30.7}$ × 100 = $\frac{21.2}{30.7}$ × 100 = 69.05% Hence, the correct answer is 69.05%.
Question : An electronic store owner allows two successive discounts of 20% and 25% on each item. The store has a reward points scheme that enables a customer to get free shopping worth INR 0.10 on every 1 reward point credited to the customer's account on previous purchases from the store. A customer decides to buy a laptop that is marked at INR 72,000. What will be its net selling price if he has 2850 reward points to his credit?
Option 1: INR 43,200
Option 2: INR 42,915
Option 3: INR 42,215
Option 4: INR 42,942
Correct Answer: INR 42,915
Solution : The first discount is 20% on the marked price. Price after the first discount = 80% × marked price = 0.8 × 72,000 = INR 57,600 The second discount is 25% on the price after the first discount. Price after the second discount =
Question : Find the Simple Interest on INR 27,000 at $14 \frac{2}{3}$% per annum for 8 months.
Option 1: INR 2,600
Option 2: INR 2,630
Option 3: INR 2,610
Option 4: INR 2,640
Correct Answer: INR 2,640
Solution : Given: Principal = INR 27,000 Rate of interest = $14 \frac{2}{3}$% Time period = 8 months = $\frac{8}{12}=\frac{2}{3}$ year. Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ = $\frac{27000×\frac{44}{3}×\frac{2}{3}}{100}$ = 60 × 44 = INR 2,640. Hence, the correct answer is INR 2,640.
Question : Match the animals in column A with the phylum they belong to in column B
Option 1: i-a, ii-c, iii-b, iv-d
Option 2: i-d, ii-a, iii-b, iv-c
Option 3: i-a, ii-b, iii-c, iv-d
Option 4: i-d, ii-c, iii-b, iv-a
Correct Answer: i-d, ii-c, iii-b, iv-a
Solution : The correct option is i-d, ii-c, iii-b, iv-a.
Jellyfish belong to the phylum Cnidaria (Coelenterate), Crayfish belong to the phylum Arthropoda, Whales belong to the phylum Chordata (Mammal), and Devil Fish or Giant Squid belong to the phylum Mollusca.
Question : The ratio of the radii of the two cones is 5 : 6 and their volumes are in the ratio of 8 : 9. The ratio of their heights is:
Option 1: 32 : 25
Option 2: 25 : 32
Option 3: 27 : 20
Option 4: 20 : 27
Correct Answer: 32 : 25
Solution : The volume of the cone = $\frac{1}{3}$πr2h, where r is the radius and h is the height. Let the radius of one cone be 5r and 6r. height is h1 and h2 ⇒ $\frac{1}{3}$(π × 25r × h1
Question : Select the most appropriate synonym of the given word.
CONDESCENDING
Option 1: Accusing
Option 2: Patronising
Option 3: Creating
Option 4: Stimulating
Correct Answer: Patronising
Solution : The second option is the correct choice.
When someone is condescending, they often adopt a tone or behaviour that suggests they feel intellectually or socially superior. Similarly, when someone is patronising, they also convey a sense of superiority, often manifesting as an apparent
Question : The number of lead balls, each 3 cm in diameter, that can be made from a solid lead sphere of diameter 42 cm is:
Option 1: 2744
Option 2: 4722
Option 3: 7244
Option 4: 2742
Correct Answer: 2744
Solution : Given: A solid lead sphere of diametre 42 cm. The radius of a solid sphere is 21 cm. The radius of a small sphere = $\frac{3}{2}$ = 1.5 cm. The volume of the sphere of radius $r$ is $\frac{4}{3}\pi r^3$. Let $x$ be the total
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).
Lying in my room, the music could be heard.
(1) I could hear the music
(2) the music can be heard
(3) the music can be heard by me
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct option is the first option.
It clarifies that the person in the room is able to hear the music, which is the intended meaning. Other choices don't fit correctly in the sentence.
Therefore, the correct sentence is, "Lying in my room, I could
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
