Staff Selection Commission Combined Graduate Level Exam
Question : Who attainded the congress of Oppressed Nationalists at Brussels in 1927, on behalf of the National Congress ?
Option 1: Jawaharlal Nehru.
Option 2: Mahatma Gandhi .
Option 3: Dr. Ansari .
Option 4: Motilal Nehru .
Correct Answer: Jawaharlal Nehru.
Solution : The correct option is Jawaharlal Nehru.
The Congress of Oppressed Nationalities in Brussels in 1927 aimed to bring together representatives from various colonized and oppressed nations to discuss their common struggles against imperialism. One of the notable attendees at this congress was Jawaharlal Nehru,
Question : The region of the Ganga Brahmaputra basin lies in ______.
Option 1: 0°N to 10°N latitude
Option 2: 30°N to 50°N latitude
Option 3: 5°N to 10°N latitude
Option 4: 10°N to 30°N latitude
Correct Answer: 10°N to 30°N latitude
Solution : The correct option is 10°N to 30°N latitude.
The Ganga-Brahmaputra basin lies between 10°N and 30°N latitudes. This region is one of the largest river basins and includes portions of Bangladesh, Nepal, Bhutan, and India.
Question : Directions: After arranging the given words according to dictionary order, which word will come in the third position? 1. Aquarium 2. Aquatic 3. Aquarial 4. Aquatint 5. Aquavit
Option 1: Aquatic
Option 2: Aquatint
Option 3: Aquarial
Option 4: Aquarium
Correct Answer: Aquatic
Solution : Given: 1. Aquarium 2. Aquatic 3. Aquarial 4. Aquatint 5. Aquavit
Step 1: The first four letters of each word are the same – a, q, u, a; so move on to the next letter. Step 2: The fifth letter of
Question : Direction: In the given question, select the related letter from the given alternatives.
KMNP : ACDF :: PRSU : ?
Option 1: STVW
Option 2: TVWY
Option 3: VXYZ
Option 4: LNPR
Correct Answer: TVWY
Solution : Given:
Here, the logic is that the second alphabet of each letter adds 2 letters ahead of the first letter, the third letter adds 1 ahead of the second letter and the fourth letter adds 2 ahead of
Question : who were The ‘Ajivikas’?
Option 1:
Sect contemporary to the Buddha
Option 2: Breakaway branch of the Buddhists
Option 3: Sect founded by Charvaka
Option 4: Sect founded by Shankaracharya
Correct Answer:
Solution : Correct Answer is Sect contemporary to the Buddha
The Ajivikas is a prehistoric Indian ascetic religion that believed in freedom, fatalism, and karma. This sect was particularly influential during the reign of the Mauryan king Bindusara. King Bindusara and his wife
Question : The square root of $\frac{2+\sqrt{3}}{2}$ is:
Option 1: $\pm \frac{1}{\sqrt{2}}(\sqrt{3}+1)$
Option 2: $\pm \frac{1}{2}(\sqrt{3}-2)$
Option 3: $\text{none}$
Option 4: $\pm \frac{1}{2}(\sqrt{3}+1)$
Correct Answer: $\pm \frac{1}{2}(\sqrt{3}+1)$
Solution : Given: $\frac{2+\sqrt{3}}{2}$ $= \frac{1}{4}({4+2\sqrt{3}})$ $= \frac{1}{4}[1^2+(\sqrt{3})^2+2×1×\sqrt{3}]$ $= \frac{1}{4}(1+\sqrt{3})^2$ So, the square root of $\frac{2+\sqrt{3}}{2}$ $= \sqrt{\frac{2+\sqrt{3}}{2}}$ $= \sqrt{\frac{1}{4}(1+\sqrt{3})^2}$ $= \pm \frac{1}{2}(1+\sqrt{3})$ Hence, the correct answer is $\pm \frac{1}{2}(\sqrt{3}+1)$ .
Question : If $\sin \theta+\cos \theta=\frac{\sqrt{3}-1}{2 \sqrt{2}}$, then what is the value of $\tan \theta+\cot \theta$?
Option 1: $8(\sqrt{3}-2)$
Option 2: $12(\sqrt{3}-2)$
Option 3: $12(\sqrt{3}+2)$
Option 4: $8(\sqrt{3}+2)$
Correct Answer: $8(\sqrt{3}-2)$
Solution : Given, $\sin \theta+\cos \theta=\frac{\sqrt{3}-1}{2 \sqrt{2}}$ Squaring both sides, we get, ⇒ $(\sin \theta+\cos \theta)^2=(\frac{\sqrt{3}-1}{2 \sqrt{2}})^2$ ⇒ $\sin^2\theta+\cos^2\theta+2\sin\theta\cos\theta=\frac{3+1-2\sqrt3}{8}$ ⇒ $1+2\sin\theta\cos\theta=\frac{4-2\sqrt{3}}{8}$ ⇒ $2\sin\theta\cos\theta=\frac{2-\sqrt3}{4}-1$ ⇒ $2\sin\theta\cos\theta=\frac{2-\sqrt3-4}{4}$ ⇒ $\sin\theta\cos\theta=\frac{-2-\sqrt3}{8}$ Now consider, $\tan \theta+\cot \theta$ $=\frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}$ $=\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}$ $=\frac{1}{\sin\theta\cos\theta}$ $=\frac{1}{\frac{-2-\sqrt3}{8}}$ $=\frac{-8}{2+\sqrt3}$ Rationalizing it, we get, $=\frac{-8}{2+\sqrt3}\times\frac{2-\sqrt3}{2-\sqrt3}$ $=\frac{-8(2-\sqrt3)}{2^2-(\sqrt3)^2}$ $=\frac{8(\sqrt{3}-2)}{4-3}=8(\sqrt3-2)$ Hence, the correct
Question : Select the most appropriate synonym of the underlined word.
It was due to treacherous leaders that he decided to leave the party.
Option 1: Devoted
Option 2: Disloyal
Option 3: Transient
Option 4: Ravenous
Correct Answer: Disloyal
Solution : The correct choice is the second option.
Disloyal is the most appropriate synonym for treacherous, as both convey the idea of betrayal and untrustworthiness.
The meanings of the options are as follows:
Devoted: Faithful and loyal.
Transient: Temporary or lasting for only a
Question : Directions: In the following question, select the related word from the given alternatives. Ampere : Electric Current :: Fathom : ?
Option 1: Depth of Water
Option 2: Frequency
Option 3: Sound level
Option 4: Work or Energy
Correct Answer: Depth of Water
Solution : Given: Ampere : Electric Current :: Fathom : ?
The ampere is a unit of measurement used to quantify electric current. Similarly, a fathom is a unit used to measure the depth of water.
Hence, the first option is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets. (121, 81, 2) (88, 54, 2) (NOTE: Operations should be performed on the whole numbers without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: (13, 5, 9)
Option 2: (78, 6, 45)
Option 3: (31, 56, 98)
Option 4: (77, 18, 5)
Correct Answer: (77, 18, 5)
Solution : Given: (121, 81, 2); (88, 54, 2)
In the above-given set of numbers, divide the first number by 11 and the second number by 9. Then, subtract both the results. Like, (121, 81, 2); (121 ÷ 11) – (81 ÷ 9) = 11
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