Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the correct mirror image of the given combination when the mirror is placed at PQ as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer 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 PQ). So, the left side of the reflected image will appear
Question : Select the most appropriate synonym of the given word.
Transgression
Option 1: Violation
Option 2: Success
Option 3: Virtue
Option 4: Metamorphosis
Correct Answer: Violation
Solution : The most appropriate synonym for the word is the first option.
A transgression is a violation of a law, rule, or code of conduct. Violation is a synonym for transgression. It means the breach of a law, rule, or standard, indicating a failure to
Question : The substrate of photorespiration is:
Option 1: Fructose
Option 2: Pyruvic acid
Option 3: Glycolate
Option 4: Glucose
Correct Answer: Glycolate
Solution : The correct answer is Glycolate.
Photorespiration is a biological process that happens in plants as a part of Calvin Cycle. It happens in peroxisomes and mitochondria. In this process carbon dioxide is released. It usually happens when oxygen concentration is high.
First product of photorespiration
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the given pair of words. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Thermometer : Temperature
Option 1: Glucometer : Measure
Option 2: Odometer : Car
Option 3: Oximeter : Oxygen level of blood
Option 4: Pedometer : Bone Fractures
Correct Answer: Oximeter : Oxygen level of blood
Solution : Given: Thermometer : Temperature (This depicts the relation between the instrument and its uses.)
First option: Glucometer : Measure; A glucometer is used to measure how much sugar is in the blood sample not a unit or measure. Second option:
Question : If the square of the sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, what is the largest of the three numbers?
Option 1: 5
Option 2: 6
Option 3: 3
Option 4: 8
Correct Answer: 8
Solution : The consecutive natural numbers are a = (x – 1), b = x, and c = (x + 1). According to the question, (a + b + c)2 – (a2 + b2 + c2) = 292 ⇒ a2 +
Question : Acceptable "Noise Pollution Level" in India range between:
Option 1: 16 - 35 dec
Option 2: 40 - 45 dec
Option 3: 70 - 100 dec
Option 4: 10 - 15 dec
Correct Answer: 40 - 45 dec
Solution : The correct answer is 40 - 45 dec.
The higher levels of sound which is derogatory to human health is known as noise pollution or sound pollution. Sound is measured in Decibels. Noise pollution is usually caused by the transport noises, machinery
Question : The sum of the ages of the mother and her daughter is 60 years. 12 years ago, the mother was eight times as old as her daughter. How old is the daughter at present?
Option 1: 20 years
Option 2: 28 years
Option 3: 16 years
Option 4: 12 years
Correct Answer: 16 years
Solution : Let the current age of the mother be $x$ and the daughter be $y$. The sum of their current ages is $60$ years, ⇒ $x+ y = 60$...(i) $12$ years ago, the mother was eight times as old as the daughter. ⇒ $x -
Question : A petrol tank is of length 50 m, breadth 25 m and depth 10 m. How many litres of petrol can be accommodated in the tank when filled?
Option 1: 1,25,00,000
Option 2: 12,50,000
Option 3: 1,25,000
Option 4: 12,500
Correct Answer: 1,25,00,000
Solution : Volume of petrol tank = $l × b × h$ = 50 × 25 ×10 = 12500 m3 = 12500000 litres [1m3 = 1000 litres] Hence, the correct answer is 1,25,00,000.
Question : Select the correct direct form of the given sentence. Shravan said that the prisoner had slept throughout the journey.
Option 1: Shravan said, "The prisoner sleeps throughout the journey."
Option 2: Shravan said, "The prisoner had been sleeping throughout the journey."
Option 3: Shravan says, "The prisoner has slept throughout the journey."
Option 4: Shravan said, "The prisoner had slept throughout the journey."
Correct Answer: Shravan said, "The prisoner had slept throughout the journey."
Solution : The correct choice is the fourth option.
In direct speech, the reported words are directly quoted without any changes to the tense, pronouns, or other elements used in the reported speech.
The steps of conversion are
Question : If $P=7+4\sqrt3$ and $PQ=1$, then what is the value of $\frac{1}{P^{2}}+\frac{1}{Q^{2}}$?
Option 1: 196
Option 2: 194
Option 3: 206
Option 4: 182
Correct Answer: 194
Solution : Given: $PQ=1, P=7+4\sqrt3$ ⇒ $Q=\frac{1}{P}$ ⇒ $P^2=(7+4\sqrt3)^2=97+56\sqrt3$ Taking the inverse on both sides and rationalising the denominators, ⇒ $\frac{1}{P^2}={97 -56\sqrt{3}}$ ⇒ $\frac{1}{P^2}+ \frac{1}{Q^2}= \frac{1}{P^2}+ {P^2}$ ⇒ $\frac{1}{P^2}+ \frac{1}{Q^2}=(97 -56\sqrt{3} +97+56\sqrt{3})$ ⇒ $\frac{1}{P^2}+ \frac{1}{Q^2}= 194$ Hence, the correct answer is 194.
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