Staff Selection Commission Combined Graduate Level Exam
Question : If $\tan(5x-10^{\circ})=\cot(5y+20^{\circ})$, the value of $(x+y)$ is:
Option 1: $15^{\circ}$
Option 2: $16^{\circ}$
Option 3: $24^{\circ}$
Option 4: $20^{\circ}$
Correct Answer: $16^{\circ}$
Solution : Given: $\tan(5x-10^{\circ})=\cot(5y+20^{\circ})$ ⇒ $\tan(5x-10^{\circ})=\tan(90^{\circ}-(5y+20^{\circ}))$ ⇒ $5x-10^{\circ}=90^{\circ}-5y-20^{\circ}$ ⇒ $5x+5y=80^{\circ}$ ⇒ $x+y=16^{\circ}$ Hence, the correct answer is $16^{\circ}$.
Question : The site of birth [nativity] of Gautam Buddha is marked by :
Option 1: a monastery
Option 2: a "Rummindel Pillar" Ashok Maurya
Option 3: a statue
Option 4: a Peepal tree
Correct Answer: a "Rummindel Pillar" Ashok Maurya
Solution : The Correct Answer is a "Rummindel Pillar" Ashok Maurya
The Sacred Garden, which spans 9 square kilometers, is identified in the Ashoka Pillar's inscription as the location of the Enlightened One's birth. The Lumbini Pillar Edict, also known as the Rummindei
Question : Which of the following is a tree found in mountain vegetation?
Option 1: Sundari
Option 2: Keekar
Option 3: Chir
Option 4: Teak
Correct Answer: Chir
Solution : The correct answer is Chir.
"Chir" is a tree that is typically found in mountain vegetation. It is a species of pine tree that is commonly found in hilly and mountainous regions of India and surrounding areas. It is known for its needle-like leaves,
Question : Due to inclement weather, an aeroplane reduced its speed by 300 km/h and reached its destination of 1200 km late by 2 hours. Then, the scheduled duration of the flight was:
Option 1: 1 hour
Option 2: 1.5 hours
Option 3: 2 hours
Option 4: 2.5 hours
Correct Answer: 2 hours
Solution : Let the original speed of the aeroplane be $x$ km/h. According to the question, $\frac{1200}{x–300} – \frac{1200}{x} = 2$ ⇒ $\frac{1200}{x–300} – \frac{1200}{x} = 2$ ⇒ $1200(\frac{x–x+300}{x(x–300)}) = 2$ ⇒ $1200(\frac{300}{x(x–300)}) = 2$ ⇒ $x(x–300) = 600(300)$ ⇒ $x(x–300) = 600(600–300)$ ⇒ $x =
Question : The table given below shows the number of salesmen in five companies.
What is the average number of salesmen in C2, C4, and C5?
Option 1: 5
Option 2: 10
Option 3: 15
Option 4: 20
Correct Answer: 10
Solution : Number of salesman in C2 = 10 Number of salesman in C4 = 5 Number of salesman in C5 = 15 Now, The average number of the salesman in C2, C4 and C5 = $\frac{\text{Total number of salesman in C2, C4 and C5}}{3}$ = $\frac{10+5+15}{3}$
Question : If $x^{2}+y^{2}+6x+5=4(x-y)$, then $(x-y)$ is:
Option 1: $1$
Option 2: $0$
Option 3: $–1$
Option 4: $4$
Correct Answer: $1$
Solution : Given: $x^{2}+y^{2}+6x+5=4(x-y)$ ⇒ $x^{2}+y^{2}+6x+5-4x+4y=0$ ⇒ $x^{2}+y^{2}+2x+5+4y=0$ ⇒ $x^{2}+2x+1+y^{2}+4y+4=0$ ⇒ $x^{2}+2×x×1+1+y^{2}+2×y×2+4=0$ ⇒ $(x+1)^{2}+(y+2)^{2}=0$ ⇒ $x$ = – 1 and $y$ = – 2 [If the sum of two square terms is zero, then each term will also be zero] So, $(x-y) = (–1–( –2))=1$ Hence, the
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Ramesh smiled when he was remembering (1) / his hard early years (2) / and his long road to success. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
When we want to talk about our memories, it is common to use the simple past tense i.e., remembered instead of the past continuous tense i.e., was remembering.
Therefore, the correct sentence is: "Ramesh smiled
Question : If successive discounts of 5%, 10%, and p% are equivalent to a single discount of 31.6%, the value of p is:
Option 1: 15
Option 2: 25
Option 3: 20
Option 4: 30
Correct Answer: 20
Solution : Single equivalent discount = $(a+b–\frac{a×b}{100})\%$, where $a$% and $b$% are two successive discounts. Single discount of 5% and 10% $= 5 + 10 - \frac{(50)}{100}=14.5$ Now, single discount of 14.5% and $p$% $= 14.5 + p - \frac{(14.5p)}{100}$ According to the question, $14.5 + p
Question : Who among the following is the first Indian to swim across English Channel ?
Option 1: Aarti-Saha
Option 2: Mihir Sen
Option 3: P. K. Bannerji
Option 4: Vikram Merchant
Correct Answer: Mihir Sen
Solution : The correct answer is Mihir Sen
Mihir Sen (16 November 1930 – 11 June 1997)best known for being the first Indian to conquer the English Channel from Dover to Calais in 1958 , and did so in the fourth fastest time (14 hrs &
Question : Directions: Arrange the following words as per their order in the dictionary. 1. Exploit 2. Explosive 3. Exponent 4. Exposition 5. Explore
Option 1: 1, 3, 4, 5, 2
Option 2: 1, 5, 2, 3, 4
Option 3: 1, 5, 3, 2, 4
Option 4: 1, 2, 5, 3, 4
Correct Answer: 1, 5, 2, 3, 4
Solution : Given: 1. Exploit 2. Explosive 3. Exponent 4. Exposition 5. Explore
Step 1: Since all the words start with the same letter E, so move on to the next letter. Step 2: The second and third letters of each word
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