Staff Selection Commission Combined Graduate Level Exam
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. The saving of certain wild animals from extinction (1)__________ many years been a problem for zoologists and other specialists, but more recently, the problem has become so (2)_________ and has received so much publicity that most people are now (3)__________ about it. This may at first seem strange because one of the most gratifying developments of the last few years has been the passing of strict laws to protect wild animals and the (4)___________ decline in the hunting of big-game for sport. Why is it then that some rare wild animals are still (5)__________ with extinction, and even some of the less rare ones are rapidly declining in number? Question: Select the most appropriate option to fill in the blank 1.
Option 1: has for
Option 2: had for
Option 3: is for
Option 4: was of
Correct Answer: has for
Solution : The most appropriate option is the first option.
Explanation: "The saving of certain wild animals from extinction has for many years been a problem." This choice implies that over an extended period (many years), the issue of saving wild animals from extinction has
Question : What is the value of a2 + b2 + c2 – 2ab – 2bc + 2ca?
Option 1: (2a + b + c)2
Option 2: (a – b + c)2
Option 3: (a – b – 2c)2
Option 4: (a + 2b – c)2
Correct Answer: (a – b + c)2
Solution : We know that (x + y + z)2 = (x2 + y2 + z2 + 2xy + 2yz + 2zx) Comparing the RHS of the above formula with the given expression, we get: x = a,
Question : $\triangle \mathrm{XYZ} \sim \triangle \mathrm{GST}$ and $\mathrm{XY}: \mathrm{GS}=2: 3, \mathrm{XV}$ is the median to the side $\mathrm{YZ}$, and $\mathrm{GD}$ is the median to the side ST. The value of $\left(\frac{\mathrm{YV}}{\mathrm{SD}}\right)^2$ is:
Option 1: $\frac{4}{9}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{1}{4}$
Option 4: $\frac{2}{3}$
Correct Answer: $\frac{4}{9}$
Solution : Given: $\Delta \mathrm{XYZ} \sim \Delta \mathrm{GST}$ $\left(\frac{\mathrm{YV}}{\mathrm{SD}}\right)=\left(\frac{\mathrm{XY}}{\mathrm{GS}}\right)$ $\therefore\left(\frac{\mathrm{YV}}{\mathrm{SD}}\right)^2=\left(\frac{\mathrm{XY}}{\mathrm{GS}}\right)^2=\left(\frac{\mathrm{2}}{\mathrm{3}}\right)^2=\frac{4}{9}$ Hence, the correct answer is $\frac{4}{9}$.
Question : Which waterway provides connectivity with mainland India through the India-Bangladesh Protocol route?
Option 1: NW-10
Option 2: NW-15
Option 3: NW-2
Option 4: NW-83
Correct Answer: NW-2
Solution : The correct answer is NW-2.
NW-2 is the most significant canal in India's North-East region. It also connects to mainland India via the Indo-Bangladesh Protocol, relieving congestion on the Siliguri Corridor (the sole direct link between mainland India and the North East). The canal is
Question : Directions: Which two signs should be interchanged to make the given equation correct? 625 ÷ 25 + 7 × 318 – 112 = 381
Option 1: – and +
Option 2: ÷ and +
Option 3: ÷ and –
Option 4: + and ×
Correct Answer: + and ×
Solution : Given: 625 ÷ 25 + 7 × 318 – 112 = 381
Replace the given symbols in the options one by one with the original symbols in the given equation. First option: – and + = 625 ÷ 25 – 7 × 318
Question : The early Turkish rulers ruled between_____________ years over Delhi.
Option 1: 1165 and 1198
Option 2: 1226 and 1290
Option 3: 1206 and 1290
Option 4: 1192 and 1225
Correct Answer: 1206 and 1290
Solution : The correct options are 1206 and 1290.
The term "Delhi Sultanate" describes a group of five Muslim kingdoms that spent 320 years primarily centred in Delhi. The first Sultan of Delhi was Qutb ud-Din Aibak, who ruled from 1206 until 1290 under
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
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