Staff Selection Commission Combined Graduate Level Exam
Question : The given bar diagram represents the number of persons who have taken an insurance policy on the y-axis and the year of purchase of the insurance policy on the x-axis. What is the average number of persons who have taken the insurance policy, excluding in the year 2012?
Option 1: 72
Option 2: 60
Option 3: 70
Option 4: 62
Correct Answer: 72
Solution : The number of persons who have taken the insurance policy excluding the year 2012 = 54 + 65 + 72 + 84 + 85 = 360 $\therefore$ Required Average = $\frac{360}{5}$ = 72 Hence, the correct answer is 72.
Question : Identify how you will ask everyone if the children were not reading the books in a passive voice.
Option 1: Were the books being read by the children?
Option 2: Were the books not being read by the children?
Option 3: Were the book not being read by the children?
Option 4: Were the children reading the books?
Correct Answer: Were the books not being read by the children?
Solution : The correct choice is the second option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the
Question : Ram starts from point A at 8 a.m. and reaches point B at 2 p.m. on the same day. On the same day, Raju starts from point B at 8 a.m. and reaches point A at 6 p.m. on the same day. Both points A and B are separated by only a straight line track. At what time do they both meet?
Option 1: 11:45 a.m.
Option 2: 9:42 a.m
Option 3: 10:42 a.m.
Option 4: 12:42 p.m.
Correct Answer: 11:45 a.m.
Solution : Let the distance be D Time taken by Ram is 6 hrs and that by Raju is 10 hrs. So, speed of Ram = $\frac{D}{6}$ and speed of Raju = $\frac{D}{10}$ Now, the relative speed = $\frac{D}{6} + \frac{D}{10}=\frac{5D + 3D}{30}=\frac{8D}{30}$ Required time =
Question : Direction: If 1 + 4 = 9, 2 + 8 =18, 3 + 6 =15 then 7 + 8 = ?
Option 1: 41
Option 2: 23
Option 3: 30
Option 4: 32
Correct Answer: 23
Solution : Given:
1 + 4 = 9 ⇒ 1 + 4 × 2 = 9
2 + 8 =18 ⇒ 2 + 8 × 2 = 18
3 + 6 =15 ⇒ 3 + 6 × 2 = 15
Similarly, 7 + 8 = 23 ⇒
Question : The BRICS New Development Bank (NDB) has been set up for
Option 1: funding infrastructure projects in emerging economies for sustainable development.
Option 2: funding non-infrastructure projects in emerging economies for sustainable development.
Option 3: funding infrastructural projects in developed countries.
Option 4: funding infrastructural projects in BRICS countries only.
Correct Answer: funding infrastructure projects in emerging economies for sustainable development.
Solution : The correct answer is funding infrastructure projects in emerging economies for sustainable development.
The New Development Bank (NDB) was founded during the 2014 Sixth BRICS Summit in Fortaleza, Brazil, with its headquarters situated in Shanghai, China. Its
Question : A man borrowed some money and agreed to pay it off by paying Rs. 3,150 at the end of the 1st year and Rs. 4,410 at the end of 2nd year. If the rate of Compound interest is 5% per annum, then the sum is:
Option 1: Rs. 5,000
Option 2: Rs. 6,500
Option 3: Rs. 7,000
Option 4: Rs. 9,200
Correct Answer: Rs. 7,000
Solution : Given: $A$ = Rs. 4,410, $R$ = 5% and $t$ = 2 years We know that $A=P(1+\frac{R}{100})^{t}$ ⇒ $4410=P(1+\frac{5}{100})^{2}$ ⇒ $4410=P×\frac{21}{20}×\frac{21}{20}$ ⇒ $P=4410×\frac{20}{21}×\frac{20}{21}$ ⇒ $P=4000$ Again, A = Rs. 3150, R = 5% and t = 1 year ⇒ $3150=P(1+\frac{5}{100})^{1}$ ⇒ $3150=P×\frac{21}{20}$ ⇒ $P=3150×\frac{20}{21}$
Question : Directions: By interchanging the given two signs and numbers, which of the following equations will be correct? + and ×, 1 and 2
Option 1: 8 × 3 – 4 ÷ 2 + 1 = 7
Option 2: 2 × 3 – 8 ÷ 1 + 9 = 18
Option 3: 8 × 3 – 4 ÷ 2 + 1 = 3
Option 4: 2 × 3 – 8 ÷ 1 + 2 = 5
Correct Answer: 8 × 3 – 4 ÷ 2 + 1 = 3
Solution : Let's check the options – First option: 8 × 3 – 4 ÷ 2 + 1 = 7 On interchanging the mathematical signs and numbers, we get – ⇒ 8 + 3 – 4 ÷
Question : If the selling price of 7 articles is equal to the cost price of 8 articles, then what is the profit percentage (correct to one decimal place)?
Option 1: 14.3%
Option 2: 13.9%
Option 3: 15.4%
Option 4: 11.7%
Correct Answer: 14.3%
Solution : Selling price of 7 articles = cost price of 8 articles ⇒ 7 × SP = 8 × CP ⇒ $\frac{SP}{CP} = \frac{8}{7}$ If SP = 8, then CP = 7 Gain = SP – CP = 8 – 7 = 1 Gain percentage =
Question : What is the value of $\frac{\sqrt{29.16}}{\sqrt{1.1664}}+\frac{\sqrt{0.2916}}{\sqrt{116.64}}+\frac{\sqrt{0.0036}}{\sqrt{0.36}}$?
Option 1: $\frac{26}{25}$
Option 2: $\frac{103}{20}$
Option 3: $\frac{27}{5}$
Option 4: $\frac{101}{20}$
Correct Answer: $\frac{103}{20}$
Solution : Given: The given expression is $\frac{\sqrt{29.16}}{\sqrt{1.1664}}+\frac{\sqrt{0.2916}}{\sqrt{116.64}}+\frac{\sqrt{0.0036}}{\sqrt{0.36}}$. $=\frac{\sqrt{29.16}}{\sqrt{1.1664}}+\frac{\sqrt{0.2916}}{\sqrt{116.64}}+\frac{\sqrt{0.0036}}{\sqrt{0.36}}$ $=\frac{\sqrt{\frac{2916}{100}}}{\sqrt{\frac{11664}{10000}}}+\frac{\sqrt{\frac{2916}{10000}}}{\sqrt{\frac{11664}{100}}}+\frac{\sqrt{\frac{36}{10000}}}{\sqrt{\frac{36}{100}}}$ $=\frac{\frac{54}{10}}{\frac{108}{100}}+\frac{\frac{54}{100}}{\frac{108}{10}}+\frac{\frac{6}{100}}{\frac{6}{10}}$ $=\frac{54}{10}\times \frac{100}{108}+\frac{54}{100}\times \frac{10}{108}+\frac{6}{100}\times \frac{10}{6}$ $=5+\frac{1}{20}+\frac{1}{10}$ $=\frac{100+1+2}{20}$ $=\frac{103}{20}$ Hence, the correct answer is $\frac{103}{20}$.
Question : Directions: If HARBOUR is written as IBSCPVS, how is HABITAT written in that code?
Option 1: GZAHSZS
Option 2: IBCJUBU
Option 3: IBAHSZS
Option 4: IBCJBUU
Correct Answer: IBCJUBU
Solution : Given: HARBOUR is written as IBSCPVS.
HARBOUR is coded as IBSCPVS – H + 1 = I; A + 1 = B; R + 1 = S; B + 1 = C; O + 1 = P; U + 1 = V; R + 1
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