Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All fruits are wines. Some wines are juices. All juices are alcohol. Conclusions: I. Some alcohols are juices. II. Some wines are alcohols. III. Some wines are fruits.
Option 1: Only conclusions I and II follow
Option 2: All conclusions follow
Option 3: Only conclusions I and III follow
Option 4: Only conclusions II and III follow
Correct Answer: All conclusions follow
Solution : The possible Venn diagram according to statements given in the question is – Conclusions I: Some alcohols are juices – From the diagram, it is clear that some part of the circle representing alcohol lies outside the circle representing juices. So it can
Question : Which hill is a part of the Meghalaya plateau?
Option 1: Cardamom Hills
Option 2: Nilgiri Hills
Option 3: Jaintia Hills
Option 4: Anaimalai Hills
Correct Answer: Jaintia Hills
Solution : The correct answer is Jaintia Hills.
The Jaintia Hills are a portion of the Meghalaya plateau. The Meghalaya plateau is a highland area in Meghalaya, a state in northeastern India. It is a rolling tableland and the highest point of the hill range that
Question : If a sum of Rs. 12,500 is invested for 1 year at 12% per annum interest is compounded semi-annually, then the interest earned is:
Option 1: Rs. 1,505
Option 2: Rs. 1,535
Option 3: Rs. 1,545
Option 4: Rs. 1,550
Correct Answer: Rs. 1,545
Solution : Given: Principal = Rs. 12,500 Rate of Interest = 12% Time = 1 year Formula used: Amount = $P(1+\frac{\frac{R}{2}}{100})^{2n}$ where n is the time in years and $R$ is rate of interest per annum when compounded half-yearly. CI = $P(1+\frac{\frac{R}{2}}{100})^{2n} - P$ $\therefore n
Question : If the radii of two circles are 6 cm and 3 cm and the length of the transverse common tangent is 8 cm, then the distance between the two centres is:
Option 1: $\sqrt{145} \text{ cm}$
Option 2: $\sqrt{140} \text{ cm}$
Option 3: $\sqrt{150} \text{ cm}$
Option 4: $\sqrt{135} \text{ cm}$
Correct Answer: $\sqrt{145} \text{ cm}$
Solution : The distance between the centres of two circles with radii $r_1$ and $r_2$ (with $r_1 > r_2$), and the length of the transverse common tangent $t$, $d = \sqrt{t^2 + (r_1 + r_2)^2}$ Substituting the given values into the equation: $d = \sqrt{8^2
Question : Which Indian tabla virtuoso and musician won the "Best Contemporary World Music Album Grammy Award" for "Global Drum Project"?
Option 1: Pandit Sandeep Das
Option 2: Ustad Alla Rakha
Option 3: Ustad Zakir Hussain
Option 4: Pandit Anindo Chatterjee
Correct Answer: Ustad Zakir Hussain
Solution : The correct option is Ustad Zakir Hussain.
The Indian tabla virtuoso and musician who won the "Best Contemporary World Music Album Grammy Award" for "Global Drum Project" is Zakir Hussain. He shared this Grammy Award with Mickey Hart, Sikiru Adepoju, and Giovanni
Question : If $\sec\theta+\tan\theta=5$, then find the value of $\tan\theta$.
Option 1: $\frac{5}{12}$
Option 2: $\frac{13}{5}$
Option 3: $\frac{13}{3}$
Option 4: $\frac{12}{5}$
Correct Answer: $\frac{12}{5}$
Solution : Given: $\sec\theta+\tan\theta=5$--------------------(equation 1) We know, $\sec^2\theta-\tan^2\theta=1$ ⇒ $(\sec\theta+\tan\theta)(\sec\theta-\tan\theta)=1$ ⇒ $(5)(\sec\theta-\tan\theta)=1$ ⇒ $(\sec\theta-\tan\theta)=\frac{1}{5}$----------------------(equation 2) Now, solving equations 1 and 2 we get, $\tan\theta=\frac{12}{5}$ Hence, the correct answer is $\frac{12}{5}$.
Question : Direction: In the following question, select the missing number from the given responses.
Option 1: 90
Option 2: 70
Option 3: 65
Option 4: 30
Correct Answer: 30
Solution : Given:
In the first column, 7 × 6 = 42 → 42 × 2 = 84
In the second column, 8 × 9 = 72 → 72 × 3 = 216
In the
Question : Identify the sealed glass vacuum tube containing an electron beam that is focused on a phosphor-coated glass screen when light is emitted.
Option 1: Cathode ray tube
Option 2: Flat array tube
Option 3: Light Emitting Diode tube
Option 4: Liquid Crystal Display tube
Correct Answer: Cathode ray tube
Solution : The correct option is a Cathode ray tube.
The sealed glass vacuum tube you are describing is commonly known as a Cathode Ray Tube (CRT). In a CRT, an electron beam is generated at the cathode and is focused using electromagnetic fields
Question : Which of the following does not fall under the Fundamental Duties in the Constitution of India?
Option 1: Safeguard public property and abjure violence
Option 2: Cherish and follow the noble ideals that inspired the national struggle for freedom
Option 3: Exercise adult franchise
Option 4: Uphold and protect the sovereignty, unity and integrity of India
Correct Answer: Exercise adult franchise
Solution : The correct answer is the Exercise of adult franchise.
Directive Principles of State Policy (DPSP) comes under Part IV and from Article 36 to Article 51. Exercising an adult franchise is not one of the DPSPs. It is under Article 326 of the
Question : Select the correct statement.
Option 1: Mitochondria and nucleus are found in bacteria
Option 2: Ribosomes, mitochondria and lysosomes are found in animal cells
Option 3: Chloroplast, ribosomes and nucleus are present in fungal cells
Option 4: Mitochondria and nucleus are absent in plant cell
Correct Answer: Ribosomes, mitochondria and lysosomes are found in animal cells
Solution : The correct answer is Ribosomes, mitochondria and lysosomes are found in animal cells.
Because animal cells are eukaryotic, they contain ribosomes, mitochondria, and lysosomes. Prokaryotic cells are simpler than eukaryotic cells. Bacteria are prokaryotic cells which lack
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