Staff Selection Commission Combined Graduate Level Exam
Question : Fermentation of milk to curd is due to :
Option 1: Mycobacterium
Option 2: Staphylococcus
Option 3: Lactobacillus
Option 4: Yeasts
Correct Answer: Lactobacillus
Solution : The correct option is - Lactobacillus
The fermentation of milk into curd is primarily due to the action of lactic acid bacteria. Specifically, the most common bacteria responsible for this process is Lactobacillus bulgaricus and Streptococcus thermophilus, although other lactic acid bacteria strains may also
Question : In the given figure, if $\mathrm{PA}$ and $\mathrm{PB}$ are tangents to the circle with centre $\mathrm{O}$ such that $\angle \mathrm{APB}=54^{\circ}$, then $\angle \mathrm{OBA}=$________.
Option 1: 27°
Option 2: 40°
Option 3: 30°
Option 4: 35°
Correct Answer: 27°
Solution : We have to find $\angle AOB$. In quadrilateral APBO, $\angle A = \angle B = 90°$ Now, $\angle P + \angle A + \angle B + \angle O = 360°$ ⇒ $54° + 90° + 90° + \angle O = 360°$ ⇒ $\angle O =
Question : If $1 + \sin\theta = m\cos\theta$, then what is the value of $\sin\theta$?
Option 1: $\frac{2 m^2-1}{m^2+1}$
Option 2: $\frac{m^2-1}{m^2+1}$
Option 3: $\frac{m^2+1}{2m^2-1}$
Option 4: $\frac{m^2+1}{m^2-1}$
Correct Answer: $\frac{m^2-1}{m^2+1}$
Solution : $1 + \sin\theta = m\cos\theta$ ⇒ $m=\frac{1}{\cos\theta}+\frac{\sin\theta}{\cos\theta}$ ⇒ $m=\sec\theta+\tan\theta$ Squaring both sides, we get, ⇒ $m^2 = \sec^2\theta + \tan^2\theta + 2\sec\theta\tan\theta$ We know, $\sec^2\theta = 1+\tan^2\theta$ ⇒ $m^2 = 1+\tan^2\theta + \tan^2\theta + 2\frac{\sin\theta}{\cos^2\theta}$ ⇒ $m^2 = 1+2\frac{\sin^2\theta}{\cos^2\theta} +2\frac{\sin\theta}{\cos^2\theta}$ ⇒ $m^2 = \frac{\cos^2\theta +2\sin^2\theta
Question : After the defeat at Plassey, Siraj-ud-Daula was assassinated and ____ was made the Nawab.
Option 1: Mir Jafar
Option 2: Mir Qasim
Option 3: Hyder Ali
Option 4: Tipu Sultan
Correct Answer: Mir Jafar
Solution : The correct answer is Mir Jafar.
Siraj ud-Daula, the Nawab of Bengal, was defeated and killed in the Battle of Plassey by the British due to the betrayal of the commander of Siraj ud-Daulah’s army, Mir Jafar. Thus, after helping the British defeat Siraj
Question : Directions: 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. 100, 50, 52, 26, 28, ?, 16, 8
Option 1: 14
Option 2: 30
Option 3: 32
Option 4: 38
Correct Answer: 14
Solution : Given: 100, 50, 52, 26, 28, ?, 16, 8
Divide and add 2 alternately to each previous term to get the next term.
So, 14 is the missing number in the given series. Hence, the first option is correct.
Question : Direction: On one side of a street are even numbers and on the other side are odd numbers. No.1 is exactly in front of No. 2. My house is No. 9. From my house, a man comes up from No. 2 and knocks at the door, five doors beyond the house infront of me. What is the No. of that house?
Option 1: 18
Option 2: 20
Option 3: 22
Option 4: 26
Correct Answer: 18
Solution : Given:
Question : Direction: A shopkeeper quotes the rate on the price tag by replacing numbers with letters as follows:
If a customer purchases two items whose price tags read Rs. IIT and Rs. NICK, what is the total amount he has to pay?
Option 1: Rs. 4776
Option 2: Rs. 4765
Option 3: Rs. 5565
Option 4: Rs. 5665
Correct Answer: Rs. 5565
A shopkeeper quotes the rate on the price tag by replacing numbers with letters as follows:
The price of RS. IIT is
Question : Directions: In the following question, select the odd letter cluster from the given alternatives.
Option 1: FHJ
Option 2: LNQ
Option 3: JLN
Option 4: NPR
Correct Answer: LNQ
Solution : Let's check the options – First option: FHJ; F + 2 = H; H + 2 = J Second option: LNQ; L + 2 = N; N + 3 = Q Third option: JLN; J + 2 = L; L + 2 = N Fourth
Question : The sum of $6xy(2x-4z), 3yz(2x-3z)$ and $4xz(3y-2y^2)$ is:
Option 1: $12x^2y-6xyz-9yz^2+8xy^2z$
Option 2: $12x^2y-6xyz+9yz^2-8xy^2z$
Option 3: $12x^2y-6xyz-9yz^2-8xy^2z$
Option 4: $12x^2y+6xyz-9yz^2-8xy^2z$
Correct Answer: $12x^2y-6xyz-9yz^2-8xy^2z$
Solution : Given: $6xy(2x-4z)+ 3yz(2x-3z)$ + $4xz(3y-2y^2)$ = $12x^2y-24xyz+6xyz-9yz^2+12xyz-8xy^2z$ = $12x^2y-6xyz-9yz^2-8xy^2z$ Hence, the correct answer is $12x^2y-6xyz-9yz^2-8xy^2z$.
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the folded paper is unfolded, it will look like –
Hence, the second option is correct.
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