Staff Selection Commission Combined Graduate Level Exam
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
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
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
Correct Answer: 131
Solution : Given:
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.
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: $\frac{25}{18}$
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 $\frac{25}{18}$.
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
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,
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
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 =
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
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
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%
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%.
Question : The sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. His role also includes the smooth flow of goods from farms and factories to the consumer. B. As the final link between the producer and the consumer, he plays a key role in the economy. C. It is he who promotes or impedes the sale of products. D. The retailer determines the final cost of a product.
Option 1: BACD
Option 2: CABD
Option 3: DCBA
Option 4: ABCD
Correct Answer: DCBA
Solution : The correct option is the third option.
Explanation: The paragraph begins by emphasising the retailer's pivotal role in determining the final cost of products (D).
It then underscores the broader impact of the retailer's actions on product sales (C), emphasising their influence on promoting or
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:
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
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank. War is mostly glorified and (1)______ by society. The real picture of warfare is as horrific and (2)________ as one can imagine. Often, soldiers who witness death-like experiences suffer from psychological disorders and are (3)________ for the rest of their lives. Many war poems contrast all the sentimental myths about warfare by (4)_________ soldiers face. The real trauma is seen in people who are left to (5)_________ the harsh realities that ones after they are gone. for their loved Select the most appropriate option to fill in the blank number 2.
Option 1: lengthening
Option 2: inspiring
Option 3: devastating
Option 4: harkening
Correct Answer: devastating
Solution : The correct choice is the third option.
The given sentence describes the real picture of warfare and contrasts it with the glorification of war by society. Devastating accurately conveys the idea that the reality of warfare is profoundly destructive, causing severe harm and suffering.
The
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