Staff Selection Commission Combined Graduate Level Exam
Question : A shopkeeper offers the following two discount schemes. A) Two successive discounts of 10% and 15% B) Buy 5 get 2 free. Which scheme has the maximum discount percentage?
Option 1: B does not give any discount
Option 2: B
Option 3: A and B both have the same discount percentage
Option 4: A
Correct Answer: B
Solution : For the first condition, We know that two successive discounts of $a$% and $b$% are equivalent to $(a+b-\frac{a×b}{100})\%$ So, two successive discounts of 10% and 15% are equivalent to, $(10+15-\frac{10×15}{100})=23.5$% For the second condition, So, discount = $\frac{7-5}{7}×100=28.57$% So, the scheme which has the maximum
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Can we see (1)________ the earth is a globe? Yes, we can, when we watch a ship that sails out to sea, if we watch closely, we see that the ship begins to (2)________. The bottom of the ship disappears first, and then the ship seems to sink lower and lower, (3)________ we can only see the top of the ship, and then we see nothing at all. What is hiding the ship from us? It is the earth. Stick a pin most of the way into an orange, and (4)________ turn the orange away from you. You will see the pin disappear, (5)________ a ship does on the earth.
Select the most appropriate option to fill in blank no. 4.
Option 1: accidentally
Option 2: reluctantly
Option 3: accordingly
Option 4: slowly
Correct Answer: slowly
Solution : The most appropriate choice is the fourth option.
Explanation: Slowly is the correct choice. It means at a leisurely or unhurried pace, and it fits the context of turning the orange in a gradual manner, which is similar to the description of how a ship
Question : In a $\triangle ABC, \angle B=\frac{\pi}{3}, \angle C=\frac{\pi}{4}$ and D divides BC internally in the ratio 1 : 3, then $\frac{\sin \angle BAD}{\sin \angle CAD}$ is equal to:
Option 1: $\frac{1}{\sqrt{2}}$
Option 2:
$\frac{1}{\sqrt{3}}$
Option 3:
$\frac{1}{\sqrt{6}}$
Option 4: $\sqrt{6}$
Correct Answer:
Solution : Given: $\triangle ABC, \angle B=\frac{\pi}{3}=\frac{180°}{3}=60°,$ and $\angle C=\frac{\pi}{4}=\frac{180°}{4}=45°$ So, $\angle A= 180°-(60°+45°)=75°$ In triangles $ABD$ and $ACD$, we have: $\frac{AB}{\sin B}=\frac{BD}{\sin \angle BAD}$ and $\frac{AD}{\sin C}=\frac{CD}{\sin \angle CAD}$ ⇒ $\frac{\sin C}{\sin B}=\frac{\sin \angle CAD}{\sin \angle BAD}×\frac{BD}{CD}$ ⇒ $\frac{\sin 60°}{\sin 45°}=\frac{\sin \angle CAD}{\sin \angle BAD}×\frac{1}{3}$ ⇒
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 1, 4, 2, 3, 2, ?
Option 1: 2
Option 2: 5
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : Given: 1, 4, 2, 3, 2, ?
The pattern is as follows –
So, the missing number in the series is 3. Hence, the third option is correct.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. One of the students is always / late to the class; he has been warn / by the teacher many times; / but still, he keeps on being late.
Option 1: One of the students is always
Option 2: but still, he keeps on being late
Option 3: by the teacher many times;
Option 4: late to the class; he has been warn
Correct Answer: late to the class; he has been warn
Solution : The error lies in the fourth option.
Explanation: The verb warn in the past participle form is warned when used with the auxiliary verb has been to form the present perfect tense. The incorrect form warn should be
Question : Padma Shri awardee in 2022, Arjun Singh Dhurve, is a tribal dancer of which of the following dance forms?
Option 1: Baiga
Option 2: Chhau
Option 3: Santhal
Option 4: Teratali
Correct Answer: Baiga
Solution : The correct option is Baiga.
Arjun Singh Dhurve, a retired teacher from the Indian state of Madhya Pradesh's Dindori area, is a folk dancer. He was born on August 12, 1953. He is renowned for making Baiga dances and songs. The primary dance of
Question : Identify the step that is not a part of decomposition.
Option 1: Leaching
Option 2: Humification
Option 3: Catabolism
Option 4: Soil erosion
Correct Answer: Soil erosion
Solution : The correct answer is Soil erosion.
The process through which complex organic matter is broken down into simpler inorganic substances is called decomposition. The decomposition process has five steps. These include mineralization, humification, catabolism, leaching, and fragmentation. The detritus breaks up trash into
Question : At what time will a 100 metres long train running at a speed of 50 km/h cross a pillar?
Option 1: 7 seconds
Option 2: 72 seconds
Option 3: 7.2 seconds
Option 4: 70 seconds
Correct Answer: 7.2 seconds
Solution : Given: The distance of the train is 100 m. The speed of the train is 50 km/h. We know that, $\text{Time}=\frac{\text{Distance}}{\text{Speed}}$ To convert km/h into m/s, multiply with $\frac{5}{18}$, we get, $50\times \frac{5}{18}=\frac{125}{9}$ m/s So, the train takes time to cross the pillar =
Question : Direction: In the following question a word is followed by four other words, one of which can not be formed by using the letters of the given word. Find this word.
SEGREGATION
Option 1: SEATING
Option 2: NATION
Option 3: GREAT
Option 4: GREETINGS
Correct Answer: NATION
Solution : Given:
First option: SEATING;
All the letters of the above word are present in the given word SEGREGATION.
Second option: NATION;
The letter N is present two times in the above word. But, the letter N is present only once in the word SEGREGATION
Question : Directions: In a certain code language, DUST is coded as 16 and EARTH is coded as 25. How will MAN be coded in the same language?
Option 1: 12
Option 2: 9
Option 3: 6
Option 4: 36
Correct Answer: 9
Solution : Given DUST is coded as 16 and EARTH is coded as 25.
Square the number of letters in DUST, to obtain the required code – The number of letters in the word DUST = 4; (4)2 = 16 Thus, DUST is coded as 16.
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