Staff Selection Commission Combined Graduate Level Exam
Question : Comprehension:
Read the passage and answer the questions that follow.
The drainage systems of India are mainly controlled by the broad relief features of the subcontinent. Accordingly, the Indian rivers are divided into two major groups: the Himalayan rivers; and the Peninsular rivers.
Apart from originating from the two major physiographic regions of India, the Himalayan and the Peninsular rivers are different from each other in many ways. Most of the Himalayan rivers are perennial. It means that they have water throughout the year. These rivers receive water from rain as well as from melted snow from the lofty mountains. The major Himalayan rivers are the Indus, the Ganga, and the Brahmaputra. These rivers are long and are joined by many large and important tributaries. A river along with its tributaries may be called a river system. The two major Himalayan rivers, the Indus and the Brahmaputra originate from the north of the mountain ranges. They cut through the mountains making gorges in the upper course. The perennial Himalayan rivers have long courses from their source to the sea. They perform intensive erosional activity in their upper courses and carry huge loads of silt and sand with their swift current. In the middle and the lower courses, these rivers form meanders, oxbow lakes, levees, and many other depositional features in their floodplains as their speed slackens. They also have well-developed deltas.
A large number of the Peninsular rivers like the Godavari, Kaveri, and Krishna are seasonal, as their flow is dependent on rainfall. During the dry season when it doesn’t rain, even the large rivers have reduced flow of water in their channels. The Peninsular rivers have shorter and shallower courses as compared to their Himalayan counterparts. However, some of them originate in the central highlands and flow towards the west. Most of the rivers of peninsular India originate in the Western Ghats and flow towards the Bay of Bengal.
Question:
Which of these statements is NOT true about perennial rivers?
Option 1: They have a very short dry season.
Option 2: They cover very long distances till they reach the sea.
Option 3: Most of them originate in the Himalayas.
Option 4: They have well developed deltas.
Correct Answer: They have a very short dry season.
Solution : The correct choice is the first option.
Explanation: Perennial rivers, as mentioned in the passage, have water throughout the year, which means they do not experience a short dry season. Perennial rivers, especially the Himalayan rivers like the Indus,
Question : If $\frac{a}{b}+\frac{b}{a}=1$ and $a+b=2$, then the value of $a^3+b^3$ is:
Option 1: 0
Option 2: 3
Option 3: 1
Option 4: 2
Correct Answer: 0
Solution : $\frac{a}{b} + \frac{b}{a} = 1$ $⇒ \frac{(a^2 + b^2)}{(ab)} = 1$ $⇒ (a^2 + b^2) = ab$ ----(i) $a^3 + b^3 = (a + b)(a^2 + b^2 – ab)$ Putting the value of $(a^2 + b^2)$ from equation (i), $⇒ a^3 + b^3 = (a
Question : Direction: Select the related letter / number from the given alternatives.
F : 216 :: L : ?
Option 1: 1723
Option 2: 1728
Option 3: 1700
Option 4: 1600
Correct Answer: 1728
Solution : Given:
F : 216 :: L :?
F is the 6th letter of the alphabet. So, F3 = 63 = 216
Similarly, L is the 12th letter of the alphabet. So, L3 = 123 = 1728
Hence, the second option is
Question : Select the option that expresses the given sentence in active voice. Nothing can be achieved without hard work.
Option 1: One has achieved nothing without hard work.
Option 2: One will achieve nothing without hard work.
Option 3: One could achieve nothing without hard work.
Option 4: One can achieve nothing without hard work.
Correct Answer: One can achieve nothing without hard work.
Solution : The fourth option is the correct answer.
Active voice is a sentence structure where the subject performs the action expressed by the verb. In the provided transformation, "one can achieve" replaces "nothing can be achieved" making the subject ("one")
Question : Directions: A paperboy cycles 10 km east, then turns south and cycles 3 km, then turns west and cycles 6 km, then turns to his right and cycles 3 km. Where is he now with reference to his starting position?
Option 1: 4 km west
Option 2: 14 km east
Option 3: 4 km east
Option 4: 14 km west
Correct Answer: 4 km east
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find distance and the final position with respect to the starting position –
The distance between starting position and end point = 10 – 6 = 4
Question : Direction: In the following question you have to identify the correct response from the given premises stated according to the following symbols.
If – stands for addition, ÷ stands for multiplication, × stands for subtraction, and + for division, then which one of the following equations is correct?
Option 1: 25 – 15 + 5 ÷ 4 × 16 = 21
Option 2: 25 + 11 – 4 ÷ 10 × 6 = 20
Option 3: 25 × 12 – 14 ÷ 4 + 6 = 16
Option 4: 25 – 12 + 14 ÷ 2 × 4 = 15
Correct Answer: 25 – 15 + 5 ÷ 4 × 16 = 21
Solution : Let's check the options —
First option: 25 – 15 + 5 ÷ 4 × 16 = 21;
After replacing the symbols as per the code language, the equation becomes 25 + 15 ÷ 5
Question : If $\left(x^2+\frac{1}{x^2}\right)=7$, and $0<x<1$, find the value of $x^2-\frac{1}{x^2}$.
Option 1: $3 \sqrt{5}$
Option 2: $4 \sqrt{5}$
Option 3: $-4\sqrt{3}$
Option 4: $-3\sqrt{5}$
Correct Answer: $-3\sqrt{5}$
Solution : $(x-\frac{1}{x})^{2}=(x^2+\frac{1}{x^2}-2)$ ⇒ $(x-\frac{1}{x})^{2}=7-2$ ⇒ $(x-\frac{1}{x})^{2}=5$ ⇒ $(x-\frac{1}{x})=-\sqrt{5}$ since $0<x<1$ Again, $(x+\frac{1}{x})^{2}=(x^2+\frac{1}{x^2}+2)$ ⇒ $(x+\frac{1}{x})^{2}=(7+2)$ ⇒ $(x+\frac{1}{x})^{2}=9$ ⇒ $(x+\frac{1}{x})=3$ since $0<x<1$ Now we know $(x-\frac{1}{x})(x+\frac{1}{x})= x^2-\frac{1}{x^2}$ ⇒ $x^2-\frac{1}{x^2}=-\sqrt{5}\times 3$ ⇒ $x^2-\frac{1}{x^2}=-3\sqrt{5}$. Hence the correct answer is $-3\sqrt{5}$.
Question : Directions: Arrange the following words as per the order in a dictionary. 1. Drum 2. Drubbing 3. Drunken 4. Drudgery 5. Duster
Option 1: 3, 1, 5, 4, 2
Option 2: 2, 4, 1, 3, 5
Option 3: 1, 3, 4, 5, 2
Option 4: 2, 1, 4, 3, 5
Correct Answer: 2, 4, 1, 3, 5
Solution : Given: 1. Drum 2. Drubbing 3. Drunken 4. Drudgery 5. Duster
Step 1: Compare the first letter of each word. Since all the words start with the same letter D, then move on to the next letter. Step 2: The
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. RMTS, WGAK, BAHC, GUOU, ?
Option 1: LMNO
Option 2: LOVM
Option 3: LOVQ
Option 4: LMNQ
Correct Answer: LOVM
Solution : Given: RMTS, WGAK, BAHC, GUOU, ?
Add and subtract alternatively consecutive natural numbers (starting from 5) from each letter of the previous term to obtain the next term –
RMTS→R + 5 = W; M – 6 = G; T + 7 = A; S
Question : The synagogue is the place of worship of
Option 1: Zoroastrianism
Option 2: Taoism
Option 3: Judaism
Option 4: Shintoism
Correct Answer: Judaism
Solution : The correct answer is Judaism.
In Judaism, a synagogue, usually spelt synagog, is a community building of worship that serves not just for liturgical services but also for assembly and study. Three Hebrew synonyms for synagogue, bet ha-tefilla (house of prayer), bet ha-Knesset and bet
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