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Staff Selection Commission Combined Graduate Level Exam

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9 Views

Question : In $\triangle A B C, P$ and $Q$ are points on $AB$ and $BC$, respectively, such that $PQ\parallel AC$. Given that $AB=26, PQ=7$ and $AC=10$, then find the value of $AP$.

Option 1: 7.1

Option 2: 7.8

Option 3: 18.2

Option 4: 16.4

Team Careers360 15th Jan, 2024

Correct Answer: 7.8


Solution :
In $\triangle A B C, PQ\parallel AC$.
Also, $A B=26, P Q=7$ and $A C=10$
Since $PQ\parallel AC$,
So, $\triangle ABC \sim \triangle PBQ$
⇒ $\frac{AB}{BP}=\frac{AC}{PQ}$
⇒ $\frac{26}{BP}=\frac{10}{7}$
⇒ $BP = 26\times 0.7$
⇒ $BP=18.2$
Now, $AB=BP+PA$
⇒ $26=18.2+AP$
⇒ $AP=26-18.2$
⇒ $AP=7.8$
Hence, the

32 Views

Question : A certain sum of money lent at simple interest amounts to INR 1,200 in 2 years and INR 1,600 in 4 years. The rate percentage per annum is:

Option 1: 20%

Option 2: 30%

Option 3: 25%

Option 4: 16%

Team Careers360 21st Jan, 2024

Correct Answer: 25%


Solution : Interest for 2 years = Amount after 4 years - Amount after 2 years
= 1600 - 1200
= INR 400
⇒ Interest for 1 year = INR 200
Principal = Amount after 2 years - Interest for 2 years
= 1200 - 400
=

10 Views

Question : If $a+\frac{1}{b}=1$, $b+\frac{1}{c}=1$ , then the value of $(abc)$ is:

Option 1: $0$

Option 2: $–1$

Option 3: $1$

Option 4: $ab$

Team Careers360 12th Jan, 2024

Correct Answer: $–1$


Solution : Given: $a+\frac{1}{b}=1$, $b+\frac{1}{c}=1$.
$a+\frac{1}{b}=1$
$ab+1=b$ (equation 1)
Also, $b+\frac{1}{c}=1$
$1–\frac{1}{c}=b$ (equation 2)
Substitute the value of b in equation 1, we get
$ab+1=1–\frac{1}{c}$
$ab=–\frac{1}{c}$
$abc=–1$
Hence, the correct answer is $–1$.

20 Views

Question : Who was the inventor of frozen foods?

Option 1: Alfred Nobel

Option 2: Clarence Birdseye

Option 3: Frank Whittle

Option 4: Ives W. McGaffey

Team Careers360 22nd Jan, 2024

Correct Answer: Clarence Birdseye


Solution : The correct option is Clarence Birdseye.

Clarence Birdseye, an American businessman and inventor (born in New York on December 9, 1886), is best known for creating a method for freezing food in manageable retail-sized quantities. In frozen technology, food is stored at -180

21 Views

Question : If a perfect square, not divisible by 6, is divided by 6, the remainder will be:

Option 1: 1, 3 or 5

Option 2: 1, 2 or 5

Option 3: 1, 3 or 4

Option 4: 1, 2 or 4

Team Careers360 18th Jan, 2024

Correct Answer: 1, 3 or 4


Solution : Given:
Perfect square numbers not divisible by 6 are 9, 16, 25, 49, 64, 81.....
$⇒ \frac{9}{6}$ ⇒ Remainder = 3
$⇒ \frac{16}{6}$ ⇒ Remainder = 4
$⇒ \frac{25}{6}$ ⇒ Remainder = 1
$⇒ \frac{49}{6}$ ⇒ Remainder = 1
$⇒ \frac{64}{6}$ ⇒

18 Views

Question : Which of the following is correctly matched?

Option 1: Kalbaisakhi - Autumn winds

Option 2: Trade winds - Winter snowstorm

Option 3: Loo - Hot wind

Option 4: Loo - Winter stormy winds

Team Careers360 20th Jan, 2024

Correct Answer: Loo - Hot wind


Solution : The correct option is Loo - Hot Wind.

Loo refers to a strong, hot and dry wind that blows across the plains of North India during the summer season. It is known for its scorching heat and is a significant meteorological phenomenon

19 Views

Question : Mohan Das Karamchand Gandhi was called as ' Mahatma' by 

Option 1: Bal Gangadhar Tilak

Option 2: Motilal Nehru 

Option 3: Jawaharlal Neharu

 

Option 4: Rabindra Nath Tagore 

Team Careers360 25th Jan, 2024

Correct Answer: Rabindra Nath Tagore 


Solution : Correct Answer is  Rabindra Nath Tagore 

"Mahatma" is a title attributed to Gandhi by some authors. According to Tagore, Gandhi used this title on 6 March 1915 in South Africa. "Mahatma" literally means 'great soul'. "Father of the Nation" is another name given

85 Views

Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.

Option 1: 448

Option 2: 576

Option 3: 480

Option 4: 512

Team Careers360 19th Jan, 2024

Correct Answer: 448


Solution : Let the two numbers be $a$ and $b$
$(a+b)^{3}=1728$
⇒ $a+b=\sqrt[3]{1728}=12$............I
$ab=32$ given,
Now,
$(a+b)^2-(a-b)^2=4ab$
⇒ $(a-b)^2 = 12^2-4\times 32$
⇒ $(a-b)^2 = 16$
⇒ $a-b=4$.................II
By adding eq. I and eq. II
$2a=16$
⇒ $a=8$
Put $a=8$ in eq. I
⇒ $8 +b =12$

13 Views

Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bold part of the sentence. In case no improvement is needed, select "No Improvement".

Migrant workers can be seen working on many of the building places in New Delhi.

  1. sites
  2. premises
  3. locations
  4. No Improvement

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 4

Team Careers360 21st Jan, 2024

Correct Answer: 1


Solution : The correct option is the first option, as "sites" is a more precise and suitable word to describe the places where the workers are working, making the sentence clearer and more accurate.

The meanings of the other options are as follows:

  • Premises means a house
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