Staff Selection Commission Combined Graduate Level Exam
Question : Among the following, which contains the lowest amount of sugar?
Option 1: Apple
Option 2: Mango
Option 3: Potato
Option 4: Banana
Correct Answer: Potato
Solution : The correct option is Potato.
The potato is a root vegetable. Ten grams of sugar are found in every 100 grams of apple. For every 100 grams of mango, there are 14 grams of sugar. For every 100 grams of potato, there are 0.8
Question : In the last financial year, a car company sold 41800 cars. This year, the target is to sell 51300 cars. By what percentage must sales be increased?
Option 1: $11\frac{9}{22}$%
Option 2: $8\frac{9}{22}$%
Option 3: $8\frac{11}{23}$%
Option 4: $22\frac{8}{11}$%
Correct Answer: $22\frac{8}{11}$%
Solution : Last year's sales = 41800 cars Present year's target = 51300 cars Increase in sales = 51300 – 41800 = 9500 Percentage change = $\frac{\text{Difference}}{\text{Initial value}} × 100$ So, the required percentage $=\frac{9500}{41800}×100 = \frac{250}{11} = 22 \frac{8}{11}$% Hence, the correct answer is $22 \frac{8}{11}$%.
Question : When a number $x$ is divided by a divisor, it is seen that the divisor is 4 times the quotient, or double the remainder. If the remainder is 80, then the value of $x$ is:
Option 1: 6480
Option 2: 6980
Option 3: 8460
Option 4: 4680
Correct Answer: 6480
Solution : Given: Divisor $= 4 ×$ Quotient $= 2 ×$ Remainder, Remainder $= 80$ Divisor $= 2 × 80 = 160$ And, Divisor $= 4 ×$ Quotient $160 = 4 ×$ Quotient Quotient $= \frac{160}{4} = 40$ Let the dividend be $x$. We know, Dividend $=$
Question : Who among the following won the Best Music Director Award at the 67th National Film Award Ceremony?
Option 1: Gopi Sundar
Option 2: D. Imman
Option 3: Mani Sharma
Option 4: Devi Sri Prasad
Correct Answer: D. Imman
Solution : The correct answer is D. Imman.
The 67th National Film Awards' Best Music Direction prize went to D. Imman. For his compositions in the popular 2019 Tamil film Viswasam, the composer has been granted a National Award.
Question : If $7\mathrm{b}-\frac{1}{4 \mathrm{b}}=7$, what is the value of $16 \mathrm{b}^2+\frac{1}{49 \mathrm{b}^2}$?
Option 1: $\frac{80}{49}$
Option 2: $\frac{104}{7}$
Option 3: $\frac{120}{7}$
Option 4: $\frac{7}{2}$
Correct Answer: $\frac{120}{7}$
Solution : $7\mathrm{b}-\frac{1}{4\mathrm{b}}=7$ Multiplying both sides by $\frac{4}{7}$. $4\mathrm{b}-\frac{1}{7\mathrm{b}}=4$ Squaring both sides, we get $(4\mathrm{b}-\frac{1}{7\mathrm{b}})^2=4^2$ ⇒ $16\mathrm{b^2}+\frac{1}{49\mathrm{b^2}}-\frac{8}{7 }=16$ ⇒ $16\mathrm{b}^2+\frac{1}{49\mathrm{b}^2}=\frac{120}{7}$ Hence, the correct answer is $\frac{120}{7}$.
Question : Select the correct direct form of the given sentence. Saaransh said he had solved the crossword the previous day.
Option 1: Saaransh said, "I solved the crossword yesterday."
Option 2: Saaransh said, "He have solved the crossword yesterday."
Option 3: Saaransh said, "I have solved the crossword the previous day."
Option 4: Saaransh said, "He has solved the crossword the previous day."
Correct Answer: Saaransh said, "I solved the crossword yesterday."
Solution : The first option is the correct choice.
The given sentence is in the indirect speech. As per the question, we have to change it to the direct speech.
The process of transformation is as follows:
Question : Directions: Which of the answer figures is the exact mirror image of the given problem figure when the mirror is held on the right side?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : The import and export of a country (in lakhs rupees) during a certain period is given in the following bar graph. Read the bar graph carefully and answer the following question.
During which year the difference between import and export is minimal?
Option 1: 2018 - 19
Option 2: 2019 - 20
Option 3: 2016 - 17
Option 4: 2017 - 18
Correct Answer: 2018 - 19
Solution : Import in 2015 - 16 = 738 Export in 2015 - 2016 = 825 Difference between import and export in 2015 - 16 = 87
Import in 2016 - 17 = 1200 Export in 2015 - 2016 = 1014 Difference between import and
Question : Directions: In the following question, a series is given with one term missing. Choose the correct alternative from the ones given that will complete the series. BT, DR, FP, ?
Option 1: HO
Option 2: HN
Option 3: NH
Option 4: OH
Correct Answer: HN
Solution : Given: BT, DR, FP, ?
The pattern followed here is – First letter of the series→B + 2 = D; D + 2 = F; F + 2 = H Second letter of the series→T – 2 = R; R – 2 = P; P
Question : In $\triangle \text{ABC}, \mathrm{DE} \| \mathrm{BC}$ and $\frac{\text{AD}}{\text{DB}}=\frac{4}{5}$. If $\mathrm{DE}=12 \mathrm{~cm}$, find the length of $\mathrm{BC}$.
Option 1: 48 cm
Option 2: 12 cm
Option 3: 30 cm
Option 4: 27 cm
Correct Answer: 27 cm
Solution : According to the question, $\mathrm{DE} \| \mathrm{BC}$ $\frac{\text{AD}}{\text{DB}}=\frac{4}{5}$ DE = 12 cm By the SAS criterion of similarity, we have △ABC $\sim$ △ADE $\therefore$ $\frac{\text{AB}}{\text{AD}} = \frac{\text{BC}}{\text{DE}}$ ⇒ $\text{BC} = \frac{\text{AB}}{\text{AD}}\times \text{DE}$ ⇒ $\text{BC} = \frac{\text{AD+DB}}{\text{AD}}\times 12$ ⇒ $\text{BC} = (1+\frac{\text{DB}}{\text{AD}})\times 12$ ⇒ $\text{BC}=12\times(1+\frac{5}{4})
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