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Staff Selection Commission Combined Graduate Level Exam

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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: $20^{\circ}$

Team Careers360 25th Jan, 2024

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 $16^{\circ}$.

12 Views

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

Team Careers360 25th Jan, 2024

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

10 Views

Question : Which of the following is a tree found in mountain vegetation?

Option 1: Sundari

Option 2: Keekar

Option 3: Chir

Option 4: Teak

Team Careers360 25th Jan, 2024

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,

11 Views

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

Team Careers360 25th Jan, 2024

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 =

11 Views

Question : The table given below shows the number of salesmen in five companies.

Companies Salesman
C1 35
C2 10
C3 30
C4 5
C5 15

What is the average number of salesmen in C2, C4, and C5?

Option 1: 5

Option 2: 10

Option 3: 15

Option 4: 20

Team Careers360 25th Jan, 2024

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
= $\frac{\text{Total number of salesman in C2, C4 and C5}}{3}$
= $\frac{10+5+15}{3}$

16 Views

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: $4$

Team Careers360 25th Jan, 2024

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

10 Views

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)

Team Careers360 25th Jan, 2024

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

435 Views

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

Team Careers360 25th Jan, 2024

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

7 Views

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

Team Careers360 25th Jan, 2024

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 &

13 Views

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

Team Careers360 25th Jan, 2024

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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