Staff Selection Commission Combined Graduate Level Exam
Question : A can complete a work in 18 days, while B can complete it in 12 days. B worked on it for 4 days. How long will A take to finish the remaining work?
Option 1: 16 days
Option 2: 12 days
Option 3: 14 days
Option 4: 10 days
Correct Answer: 12 days
Solution : A can complete a work in 18 days. A's 1 day's work = $\frac{1}{18}$ B can complete it in 12 days. B's 1 day's work = $\frac{1}{12}$ B's 4 days' work = $\frac{1}{12}×4=\frac{1}{3}$ Work left = $1-\frac{1}{3}=\frac{2}{3}$ A will finish the remaining work in
Question : Directions: In the following question, select the related word from the given alternatives. Poor : Destitute :: Rich : ?
Option 1: Powerful
Option 2: Affluent
Option 3: Meagre
Option 4: Strong
Correct Answer: Affluent
Solution : Given: Poor : Destitute :: Rich : ?
Destitute is the synonym of Poor.
Now, check the options for the synonym of rich – First option: Powerful; Powerful is the synonym of strong. Second option: Affluent; Affluent is the synonym of rich. Third option: Meagre;
Question : Which of the following hills is a part of the Western Ghats?
Option 1: Anaimalai Hills
Option 2: Khasi Hills
Option 3: Jaintia Hills
Option 4: Garo Hills
Correct Answer: Anaimalai Hills
Solution : The correct answer is Anaimalai Hills.
The Anaimalai Hills are a mountain range in India's southern Western Ghats that runs through western Tamil Nadu and central Kerala. The name "Anaimalai" is derived from the Tamil word "Yaanai" which means "elephant" or from tribal languages.
Question : The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings to increase his average of runs by 4?
Option 1: 116
Option 2: 114
Option 3: 170
Option 4: 76
Correct Answer: 116
Solution : Given: The average of runs of a cricket player of 20 innings was 32. Total runs in 20 innings $ 20 × 32 = 640$ Let his score in the 21st inning be $x$. According to the question, $(32+4)×21-640=x$ $\therefore x = 756-640 = 116$
Question : Which among the following is liquid non-metal?
Option 1: Mercury
Option 2: Bromine
Option 3: Water
Option 4: Alcohol
Correct Answer: Bromine
Solution : The correct answer is Bromine.
Bromine is a halogen found in Group 17 in the periodic table. Its atomic number is 35. It is a brown coloured non-metal which exists in the liquid state at room temperature. it is a volatile liquid i.e. it changes
Question : In the given figure, $\mathrm{O}$ is the centre of the circle and $\angle\mathrm{AOB}=130^{\circ}$. Find $\angle\mathrm{APB}$.
Option 1: $110^{\circ}$
Option 2: $115^{\circ}$
Option 3: $100^{\circ}$
Option 4: $95^{\circ}$
Correct Answer: $115^{\circ}$
Solution : Given: $\angle{AOB}=130^{\circ}$ To find $\angle{APB}$ The arc AB subtends $\angle{AOB}$ at the centre and $\angle{AQB}$ at a point Q of the remaining parts of a circle. $\therefore$ $\angle{AOB} = 2\angle{AQB}$ ⇒ $\angle{AQB} = \frac{130^\circ}{2} = 65^\circ$ In a cyclic quadrilateral, $\angle{APB}+\angle{AQB} = 180^\circ$ $\therefore$ $\angle{APB}
Question : Directions: If it is Saturday, the 27th of September, what day will it be on the 27th of October of the same year?
Option 1: Thursday
Option 2: Sunday
Option 3: Friday
Option 4: Monday
Correct Answer: Monday
Solution : Given: The 27th of September is Saturday.
Remaining days in September = 3 days Number of days in October = 27 days Total number of days = 27 + 3 = 30 days Now, divide the total number of days, i.e., 30 days by 7,
Question : Directions: The table given below shows information about bats manufactured by six different companies. Each company manufactures only plastic and wooden bats. Each company labels these bats as Brand A or Brand B. The table shows the number of plastic bats as a percentage of the total bats manufactured by each company. It also shows the ratio of wooden bats labelled A and B. Each company manufactured a total of 550000 bats.
Taking all 6 companies together, how many wooden bats of Brand A have been produced?
Option 1: 691000
Option 2: 724000
Option 3: 683000
Option 4: 716000
Correct Answer: 691000
Solution : For R, The percentage of wooden bats = 45% $\therefore$ The number of wooden bats = 0.45 × 550000 = 247500 The ratio of Brand A to Brand B for wooden bats = 21 : 4 $\therefore$ The number of Brand A wooden bats =
Question : Direction: Select the missing number from the given alternatives.
Option 1: 468
Option 2: 456
Option 3: 268
Option 4: 256
Correct Answer: 256
Solution : Given:
In the second column, 23 = 8, 26 = 64, 29 = 512. Here, 3, 6, and 9 are in AP.
In the third column, 24 = 16, 27 =
Question : Suppose $\triangle ABC$ be a right-angled triangle where $\angle A=90°$ and $AD\perp BC$. If the area of $\triangle ABC =40$ cm$^{2}$ and $\triangle ACD =10$ cm$^{2}$ and $\overline{AC}=9$ cm, then the length of $BC$ is:
Option 1: 12 cm
Option 2: 18 cm
Option 3: 4 cm
Option 4: 6 cm
Correct Answer: 18 cm
Solution : According to the question, Given: AC = 9 cm Area of $\triangle$ABC = 40 cm2 Area of $\triangle$ADC = 10 cm2 $\triangle$BAC ∼ $\triangle$ADC ⇒ $\frac{\text{Area of }\triangle ABC}{\text{Area of } \triangle ADC}=\frac{AB^{2}}{AD^{2}}=\frac{BC^{2}}{AC^{2}}$ (In similar triangles, the ratio of their area is
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