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Staff Selection Commission Combined Graduate Level Exam

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Question : Supriya made a profit of 8% by selling a T-shirt after offering a discount of 10%. If the marked price of the t-shirt is INR 1,080, then find its cost price (in INR) for Supriya.

Option 1: INR 920

Option 2: INR 940

Option 3: INR 880

Option 4: INR 900

Team Careers360 9th Jan, 2024

Correct Answer: INR 900


Solution : Given: The marked price (MP) of the T-shirt = INR 1080
Selling price (SP) of the T-shirt $=1080-\frac{1080×10}{100}=1080-108=972$
Let the cost price (CP) of the T-shirt be $x$.
CP + Profit = SP
$\therefore x+\frac{x×8}{100}=972$
⇒ $\frac{108x}{100}=972$
⇒ $x=\frac{972×100}{108}$
⇒ $x=900$
Hence, the correct

63 Views

Question : Direction: In the following question, select the related number from the given alternatives.

29 : 71 :: 79 : ?

Option 1: 120

Option 2: 192

Option 3: 197

Option 4: 131

Team Careers360 12th Jan, 2024

Correct Answer: 131


Solution : Given:

29 : 71 :: 79 : ?

In the first pair, there are exactly 9 prime numbers between 29 and 71.

Similarly, between 79 and 131, there are also exactly 9 prime numbers.

Hence, fourth option is correct.

19 Views

Question : If $\sec^2 \theta+\tan^2 \theta=\frac{25}{18}$, the value of $\sec^4 \theta-\tan^4 \theta$ is:

Option 1: $\frac{18}{25}$

Option 2: $\frac{25}{12}$

Option 3: $\frac{25}{9}$

Option 4: $\frac{25}{18}$

Team Careers360 6th Jan, 2024

Correct Answer: $\frac{25}{18}$


Solution : Given: $\sec^2 \theta+\tan^2 \theta=\frac{25}{18}$
To find: $\sec^4 \theta-\tan^4 \theta$
We know that $\sec^2 \theta-\tan^2 \theta=1$
Now, $\sec^4 \theta-\tan^4 \theta=(\sec^2 \theta+\tan^2 \theta)(\sec^2 \theta-\tan^2 \theta)$
$=(\frac{25}{18})(1)$
$=\frac{25}{18}$
Hence, the correct answer is $\frac{25}{18}$.

14 Views

Question : The famous Arabic scholar Al Biruni came to contact with India through _____ in the eleventh century A.D.

Option 1: Abdullah Shah Ghazi

Option 2: Mahmud Ghaznavi

Option 3: Al-Walid I

Option 4: Muhammad bin Qasim

Team Careers360 22nd Jan, 2024

Correct Answer: Mahmud Ghaznavi


Solution : The correct option is Mahmud Ghaznavi.

In the 11th century, a renowned scholar from Arabia named Al-Biruni learned about India through Mahmud of Ghaznavi, a powerful ruler who lived in the 10th and 11th centuries and was the Sultan of the Ghaznavid Empire,

45 Views

Question : The cost of a piece of diamond varies with the square of its weight. A diamond of INR 6,084 value is cut into 3 pieces whose weights are in the ratio 3 : 2 : 1. Find the loss involved in the cutting.

Option 1: INR 3,768

Option 2: INR 3,718

Option 3: INR 3,168

Option 4: INR 3,518

Team Careers360 4th Jan, 2024

Correct Answer: INR 3,718


Solution : Cost of diamond piece = $\text{(Weight of diamond piece)}^2$
$⇒6084 =\text{(Weight of diamond piece)}^2$
⇒ Weight of diamond piece = 78
78 is divided in ratio 3 : 2 : 1, we get (39, 26, 13)
According to the question,
Cost of piece =

21 Views

Question : The coil wire in the electric room heater or electric cooking heater is called____________.

Option 1: circuit

Option 2: Element

Option 3: Filament

Option 4: Cells

Team Careers360 20th Jan, 2024

Correct Answer: Element


Solution : The correct option is Element.

Heating element refers to the coil wire of an electric space heater or electric cooking heater. When an electric current flows through this component, it is intended to produce heat, hence giving warmth in the case of room heaters

31 Views

Question : In 5 years, the simple interest on an amount of Rs. $\mathrm{X}$ is $\frac{2}{5}$th of the principal. The rate of interest per annum is:

Option 1: 12%

Option 2: 8%

Option 3: 10%

Option 4: 5%

Team Careers360 13th Jan, 2024

Correct Answer: 8%


Solution : Here, Principal = $X$
Time = 5 years
Simple interest = $\frac{2X}{5}$
We know,
Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
⇒ $\frac{2X}{5}=\frac{X× \text{Rate}×5}{100}$
⇒ Rate = 8%
Hence, the correct answer is 8%.

14 Views

Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 10th Jan, 2024

Correct Answer:


Solution : In the given series, the arrows rotate 90° clockwise while shifting their positions in a clockwise direction. The arrows shift alternatively by one and two places.
Thus, the missing part of the figure is –


Therefore, the complete figure is –


Hence, the second option is

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