Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. The farmers suffered because the monsoon did not arrive___ time.
Option 1: at
Option 2: by
Option 3: on
Option 4: after
Correct Answer: on
Solution : The correct choice is the third option.
Explanation:
"On time" is a common phrase used to indicate that something happened at the expected or scheduled time. In this sentence, it conveys that the farmers suffered because the monsoon did not arrive when it was supposed
Question : In $\triangle {PQR} $, PQ = PR and S is a point on QR such that $\angle {PSQ}=96^{\circ}+\angle {QPS}$ and $\angle {QPR} = 132^{\circ}$. What is the measure of $\angle {PSR}$?
Option 1: 45°
Option 2: 56°
Option 3: 54°
Option 4: 52°
Correct Answer: 54°
Solution : Let $\angle QPS$ be $\theta$ ⇒ $\angle PSQ = 96^\circ + \theta$ Now, In $\triangle PQR$ ⇒ $\angle Q + \angle R = 180^\circ - \angle P$ $= 180^\circ -132^\circ$ $=48^\circ$ Since $PQ = PR$ $\angle Q = \angle R$ $\therefore \angle Q = \angle
Question : In $\triangle ABC$, M and N are the points on side BC such that AM $\perp$ BC, AN is the bisector of $\angle A$, and M lies between B and N. If $\angle B=68^{\circ}$, and $\angle \\{C}=26^{\circ}$, then the measure of $\angle MAN$ is:
Option 1: 21º
Option 2: 28º
Option 3: 24º
Option 4: 22º
Correct Answer: 21º
Solution : $\triangle$ABC, M and N are the side on BC such that AM $\perp$ BC, AN is the bisector $\angle$A, and M lies between B and N $\angle$B = 68$^\circ$, and $\angle$C = 26$^\circ$ Concept used: $\triangle$ABC, M and N are the sides on BC such
Question : The price of a scooter increases successively by 10%, 5%, and 15%. What is the total percentage increase in the price of the scooter?
Option 1: $32 \frac{33}{40}$%
Option 2: $34 \frac{21}{40}$%
Option 3: $30 \frac{11}{40}$%
Option 4: $36 \frac{31}{40}$%
Correct Answer: $32 \frac{33}{40}$%
Solution : Let the initial price of the scooter be 100. After successive increment of 10%, 5%, and 15%, the price becomes = $100\times\frac{110}{100}\times\frac{105}{100}\times\frac{115}{100}$ = $100\times\frac{11}{10}\times\frac{21}{20}\times\frac{23}{20}$ = $\frac{11\times21\times23}{40}$ = $\frac{5313}{40}$ Difference = Price after increment – initial price = $\frac{5313}{40}-100=\frac{5313-4000}{40}=\frac{1313}{40}$ $\therefore$ Percentage increased = $\frac{\text{Difference}}{\text{Initial price}}\times
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. He was sitting besides his best friend during the event.
Option 1: was sitting about his
Option 2: was sitting beside his
Option 3: were sitting besides his
Option 4: was sitting besides her
Correct Answer: was sitting beside his
Solution : The correct choice is the second option.
Explanation: Beside means at the side of or next to someone or something. In this context, it refers to the location of someone sitting next to their best friend. The correct preposition to use
Question : Directions: Which letter cluster will replace the question mark (?) to complete the given series? abCD, fgHI, ?, stUV, abCD
Option 1: kIMO
Option 2: ImNO
Option 3: mnOP
Option 4: InMO
Correct Answer: ImNO
Solution : Given: abCD, fgHI, ?, stUV, abCD
Add consecutive natural numbers (starting from 5) to the place value of the letters of the previous term to get the next term. abCD→a + 5 = f; b + 5 = g; C + 5 = H; D
Question : Study the following pie chart and table to answer the questions numbered 95 to 97. Total number of students admitted in a university in various fields = 5000
Distribution of the number of students into various fields:
What is the average number of boys in the CS, ECE, and EEE fields?
Option 1: 406
Option 2: 516
Option 3: 514
Option 4: 506
Correct Answer: 506
Solution : Number of Boys in CS = 44% of (15% of 5000) = 330 Number of Boys in ECE = 72% of (16% of 5000) = 576 Number of Boys in EEE = 68% of (18% of 5000) = 612 The average number of boys in
Question : The given table shows the production of units of different products in different months.
Y's total production is what percentage of Z's total production?
Option 1: 88.5%
Option 2: 89.5%
Option 3: 87.5%
Option 4: 114.28%
Correct Answer: 87.5%
Solution : Y's total production = 18 + 13 + 17 + 8 = 56 Z's total production = 15 + 18 + 12 + 19 = 64 Required percentage = $\frac{56}{64}×100$ = 87.5% Hence, the correct answer is 87.5%.
Question : Directions: Select the option that represents the correct order of the given words as they would appear in an English dictionary. 1. Mistaken 2. Missing 3. Mistyped 4. Mistrust 5. Mission 6. Mistress
Option 1: 2, 5, 6, 4, 3, 1
Option 2: 2, 5, 1, 6, 4, 3
Option 3: 5, 2, 1, 6, 4, 3
Option 4: 2, 5, 1, 4, 6, 3
Correct Answer: 2, 5, 1, 6, 4, 3
Solution : Given: 1. Mistaken 2. Missing 3. Mistyped 4. Mistrust 5. Mission 6. Mistress
Step 1: The first three letters of each word are the same – m, i, s, so move on to the next letter. Step
Question : The following figure shows the scores of students in three tests organised by a coaching institution. Who scored the best on average?
Option 1: D
Option 2: C
Option 3: E
Option 4: B
Correct Answer: E
Solution : Let's find the average first, For A = $\frac{84+71+95}{3} = \frac{250}{3} = 83.33$ For B = $\frac{93+76+101}{3} = \frac{270}{3} = 90$ For C = $\frac{99+79+71}{3} = \frac{249}{3} = 83$ For D = $\frac{80+90+94}{3} = \frac{264}{3} = 88$ For E = $\frac{88+93+90}{3} = \frac{271}{3} = 90.33$
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