All Questions

Staff Selection Commission Combined Graduate Level Exam

Follow
Showing 7311 - 7320 out of 16734 Questions
21 Views

Question : The numerator of a fraction is a multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator $7 + c (c > –7)$ is a constant, then the minimum value of the fraction is:

Option 1: 5

Option 2: $\frac{1}{5}$

Option 3: –5

Option 4: $-\frac{1}{5}$

Team Careers360 23rd Jan, 2024

Correct Answer: $-\frac{1}{5}$


Solution : Let the first number be $x$. Then, the second number would be $(x+2)$.
According to the question,
⇒ $x + 2+ 4 = 7 + c$
⇒ $x + 6 = 7 + c$
⇒ $x = 1 + c$
Fraction is $\frac{{x}({x}+2)}{7+{c}}= \frac{(1+c)(3+c)}{7+c}$
For

231 Views

Question : A car priced INR 6,50,000 is bought by making a down payment. On the balance, a simple interest of 10% is charged in a lump sum and the money is to be paid in 20 equal annual instalments of INR 25,000. How much is the down payment?

Option 1: INR 1,55,945

Option 2: INR 1,95,455

Option 3: INR 1,94,555

Option 4: INR 1,45,955

Team Careers360 25th Jan, 2024

Correct Answer: INR 1,95,455


Solution : Let the downpayment be of INR $x$.
Hence from the above data, we get the following relation,
$(650000 - x)\times (1 + \frac{10}{100}) = 20\times 25000$
$⇒650000 - x = 20\times 25000 \times \frac{10}{11} ≈ 454545$
$⇒x = 650000 - 454545 = 1,95,455$
$⇒x

8 Views

Question : Direction: In the following question, identify the diagram that represents the best relationship among classes given below.

Fruits, Apples, Oranges

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 16th Jan, 2024

Correct Answer:


Solution : Both apples and oranges are fruits. But, apples and oranges are not related to each other in any way.

So, All apples are fruits; All oranges are fruits; No apples are oranges.

Based on the above statements, the Venn diagram will be

Hence, second option is

32 Views

Question : O is a point in the interior of $\triangle \mathrm{ABC}$ such that OA = 12 cm, OC = 9 cm, $\angle A O B=\angle B O C=\angle C O A$ and $\angle A B C=60^{\circ}$. What is the length (in cm) of OB?

Option 1: $6 \sqrt{3}$

Option 2: $4 \sqrt{6}$

Option 3: $4 \sqrt{3}$

Option 4: $6 \sqrt{2}$

Team Careers360 25th Jan, 2024

Correct Answer: $6 \sqrt{3}$


Solution :

O is a point in the interior of $\triangle \mathrm{ABC}$
OA = 12 cm
OC = 9 cm
$\angle A O B=\angle B O C=\angle C O A$
$\angle A B C=60^{\circ}$
$\angle A O B=\angle B O C=\angle C O A=\frac{360^{\circ}}{3} = 120^{\circ}$

17 Views

Question : Identify the segment in the sentence which contains a grammatical error.

This jewellery box is made from silver and is an antique piece.

Option 1: This jewellery box

Option 2: is made from silver

Option 3: and is

Option 4: an antique piece

Team Careers360 16th Jan, 2024

Correct Answer: is made from silver


Solution : The correct choice is the second option.

Explanation: The error is in the use of the preposition "from" in connection with the material of the jewellery box. The correct preposition to use when talking about the material from which something is

16 Views

Question : Jawahar Tunnel one of the largest in India is located in the State of

Option 1: Jammu and Kashmir

Option 2: Maharashtra

Option 3: Karnataka

Option 4: Himachal Pradesh

Team Careers360 24th Jan, 2024

Correct Answer: Jammu and Kashmir


Solution : The correct option is Jammu and Kashmir.

The Jawahar Tunnel is a road tunnel located in Jammu and Kashmir, India. It is a vital transit route in the area. The tunnel connects the villages of Banihal and Qazigund by passing through the Pir

11 Views

Question : If $x=\frac{6pq}{p+q}$, then the value of $\frac{x+3p}{x–3p}+\frac{x+3q}{x–3q}$ is:

Option 1: 6

Option 2: 8

Option 3: 2

Option 4: 3

Team Careers360 25th Jan, 2024

Correct Answer: 2


Solution : Given: $x=\frac{6pq}{p+q}$
⇒ $x=\frac{6pq}{p+q}$ and $x=\frac{6pq}{p+q}$
⇒ $\frac{x}{3p}=\frac{2q}{p+q}$ and $\frac{x}{3q}=\frac{2p}{p+q}$
Applying componendo and dividendo in the above expressions, we get,
⇒ $\frac{x+3p}{x–3p}=\frac{2q+p+q}{2q–(p+q)}$ and $\frac{x+3q}{x–3q}=\frac{2p+p+q}{2p–(p+q)}$
⇒ $\frac{x+3p}{x–3p}=\frac{p+3q}{q–p}$ and $\frac{x+3q}{x–3q}=\frac{3p+q}{p–q}$
The value of the given expression $\frac{x+3p}{x–3p}+\frac{x+3q}{x–3q}$ is as follows,
$\frac{x+3p}{x–3p}+\frac{x+3q}{x–3q}=\frac{p+3q}{q–p}-\frac{3p+q}{q–p}$
$=\frac{p+3q–3p–q}{q–p}$
$=\frac{2(q-p)}{q-p}$
$=2$
Hence, the correct

11 Views

Question : Which of the following festivals is not associated with Sikkim?

Option 1: Losar

Option 2: Lohri

Option 3: Sakewa

Option 4: Yenya

Team Careers360 24th Jan, 2024

Correct Answer: Lohri


Solution : The correct option is Lohri.

Lohri is not associated with the state of Sikkim. Lohri is a winter festival celebrated in North India, particularly in the Punjab region. It is usually observed on January 13th every year.

44 Views

Question : A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage.

Option 1: 42.5%

Option 2: 50%

Option 3: 40%

Option 4: 43.75%

Team Careers360 20th Jan, 2024

Correct Answer: 43.75%


Solution : Given: A shopkeeper sells an item at a profit of 15%.
False weight used = 20% less than the actual weight
Let the cost price of 100 gm = Rs. 100 if the cost price of 1 gm is Re. 1
Selling price of 100

The question have been saved in answer later, you can access it from your profile anytime. Access now