Staff Selection Commission Combined Graduate Level Exam
Question : To go a distance of 144 km upstream, a rower takes 12 hours while it takes her only 9 hours to row the same distance downstream. What is the speed of the stream?
Option 1: 3 km/hr
Option 2: 1 km/hr
Option 3: 1.5 km/hr
Option 4: 2 km/hr
Correct Answer: 2 km/hr
Solution : Given: Distance = 144 km And the time taken to row upstream = 12 hours And the time taken to row downstream = 9 hours So, speed of boat in upstream = $\frac{144}{12}$ = 12 km/hr And speed of boat in downstream = $\frac{144}{9}$
Question : If $A+B=90^{\circ}$ and $\sin A=\frac{3}{5}$, then the value of $\tan B$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{5}{4}$
Option 3: $\frac{3}{4}$
Option 4: $\frac{5}{3}$
Correct Answer: $\frac{4}{3}$
Solution : Given: $A+B=90^{\circ}$ and $\sin A=\frac{3}{5}$ $\sin A=\frac{3}{5}=\frac{\text{Perpendicular}}{Hypotenuse}$ Let, Perpendicular = $3k$ and Hypotenuse = $5k$ --------------[where, $k$ is constant] ⇒ Base = $\sqrt{(5k)^{2}–(3k)^{2}}$ ⇒ Base = $4k$ $\tan A=\frac{\text{Perpendicular}}{Base}$ ⇒ $\tan A=\frac{3k}{4k}$ ⇒ $\tan (90°–B)=\frac{3}{4}$ ⇒ $\cot B=\frac{3}{4}$ ⇒ $\tan B=\frac{4}{3}$ Hence, the correct answer
Question : Ajanta and Ellora caves are situated in which state of India?
Option 1: Kerala
Option 2: Odisha
Option 3: Maharashtra
Option 4: Jammu & Kashmir
Correct Answer: Maharashtra
Solution : The correct answer is Maharashtra.
The Ajanta and Ellora caves, situated near Aurangabad in Maharashtra, India, are ancient Buddhist architectural marvels. These sites were designated as UNESCO World Heritage Sites in 1983. The Ajanta Caves, nestled amidst the Sahyadri ranges along the Waghora River, were
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. Then I went up the steps to apartment number 17D. B. I strode along the pavement hurriedly and crossed the road. C. The hall was empty and there was no sign of anyone having entered before me. D. I opened the door with my key and went in.
Option 1: BADC
Option 2: BCDA
Option 3: CDAB
Option 4: DBCA
Correct Answer: BADC
Solution : The correct choice is the first option.
The paragraph starts with sentence B, which sets the scene by describing the narrator's movement along the pavement and crossing the road, followed by sentence A, which describes the narrator's action of going up the steps to
Question : Who has taken over as President of the Financial Action Task Force in July 2022?
Option 1: T. Raja Kumar
Option 2: Sanjiv Kapoor
Option 3: Ashwani Bhatia
Option 4: Mahesh Verma
Correct Answer: T. Raja Kumar
Solution : The correct option is T. Raja Kumar.
T. Raja Kumar, a Singaporean, has been named the Financial Action Task Force's (FATF) president. His appointment is for a two-year term, starting on July 1, 2022.
Question :
Leech is an ectoparasite on cattle, which is:
Option 1:
Carnivorous
Option 2:
Omnivorous
Option 3: Sanguivorous
Option 4: Herbivorous
Correct Answer: Sanguivorous
Solution : The correct option is Sanguivorous.
Leeches are ectoparasitic creatures that feed on their hosts' blood and are classified as sanguivorous. When leeches infest cattle or other animals, they attach themselves to the host's skin, cause an incision with their specialised mouthparts, and then feed on
Question : If $\sqrt{x}=\sqrt{3}-\sqrt{5}$, then the value of $x^2-16x+6$ is:
Option 1: $0$
Option 2: $-2$
Option 3: $2$
Option 4: $4$
Correct Answer: $2$
Solution : Given: $\sqrt{x}=\sqrt{3}-\sqrt{5}$ By squaring both the sides, we get, $x=3+5-2\sqrt{15}$ ⇒ $x-8=-2\sqrt{15}$ Again, squaring both the sides, we get, $x^2-16x+64=60$ ⇒ $x^2-16x+4=0$ $\therefore x^2-16x+6=2$ Hence, the correct answer is $2$.
Question : Which drug is used to cure Glaucoma?
Option 1: Fexofenadine
Option 2: Ketoconazole
Option 3: Latanoprost
Option 4: Ibuprofen
Correct Answer: Latanoprost
Solution : The correct option is Latanoprost.
Glaucoma, a disorder in which elevated pressure in the eye can cause a gradual loss of vision, is treated with Latanoprost. It is listed as one of the essential medicines by the World Health Organization. Latanoprost belongs to a
Question : What is the simplified form of the expression (1 + x) (1 + x2) (1 + x4) (1 + x8) (1 - x)?
Option 1: 1 – x40
Option 2: 1 – x32
Option 3: 1 – x16
Option 4: 1 – x42
Correct Answer: 1 – x16
Solution : Given expression, (1 + x) (1 + x2) (1 + x4) (1 + x8) (1 – x) = (1 − x2)(1 + x2)(1 + x4)(1 + x8) =
Question : If the marginal propensity to consume is denoted by c, then the government expenditure multiplier can be expressed as _______.
Option 1: c
Option 2: 1/1-c
Option 3: 1/c
Option 4: -1/c
Correct Answer: 1/1-c
Solution : The correct answer is 1/1-c.
The additional consumer spending that results from a rise in national income is known as the marginal propensity to consume (MPC). It is the extra spending brought on by an extra dollar in revenue. The multiplier is calculated as
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