Staff Selection Commission Combined Higher Secondary Level Exam
Question : The sum of perfect squares between 120 and 300 is:
Option 1: 1400
Option 2: 1200
Option 3: 1296
Option 4: 1366
Correct Answer: 1400
Solution : The perfect squares between 120 and 300 are 121, 144, 169, 196, 225, 256, and 289. Thus, the sum of the numbers is 121 + 144 + 169 + 196 + 225 + 256 + 289 = 1400 Hence, the correct answer is 1400.
Question : Which of the biomes is called the "Bread Basket" of the world?
Option 1: Mid-latitude grasslands
Option 2: Taiga
Option 3: Mediterranean
Option 4: Tropical Savanna
Correct Answer: Mid-latitude grasslands
Solution : The correct answer is Mid-latitude grasslands.
The biome known as the world's "Bread Basket" is often connected with Mid-Latitude Grasslands or Temperate Grasslands. These grasslands are noted for their high agricultural productivity, and are home to a substantial portion of the world's grain, and
Question : Choose the word that means the same as the given word. Jape
Option 1: Quick
Option 2: Quarrel
Option 3: Quip
Option 4: Quit
Correct Answer: Quip
Solution : The correct choice is the third option.
The word jape refers to a joke or jest, often meant to be humorous or playful.
The word quip refers to a clever or witty remark, typically delivered quickly and intended to be amusing. Both share a
Question : Directions: In the following question, select the related letter/word/number from the given alternatives. TTT : 777 :: RRR : ?
Option 1: 555
Option 2: 666
Option 3: 888
Option 4: 999
Correct Answer: 999
Solution : Given: TTT : 777 :: RRR : ?
Like, TTT : 777→Opposite letter of T is G with a place value of 7. Similarly, for RRR : ?→Opposite letter pair of R is I with a place value of 9.
So, RRR is related to
Question : The price of an article is cut by 31%, to restore its original value, the new price must be increased by:
Option 1: 66%
Option 2: 44.93%
Option 3: 39.76%
Option 4: 82.5%
Correct Answer: 44.93%
Solution : Given: The price of an article is cut by 31%. Let the original price of the article be Rs.100. Now, The price of an article is cut by 31%. ⇒ The new price of the article $=\frac{100-31}{100}\times 100= 69$ To restore its original value, the
Question : A invests Rs. 64,000 in a business. After a few months, B joined him with Rs. 48,000. At the end of the year, the total profit was divided between them in the ratio 2 : 1. After how many months did B join?
Option 1: 8
Option 2: 4
Option 3: 6
Option 4: 7
Correct Answer: 4
Solution : Let the number of months after which B joined as $x$ months. Therefore, A's investment was for 12 months and B's investment was for $(12 - x)$ months. The ratio of A's investment to B's investment is equal to the ratio of their profits. $⇒\frac{(64000
Question : Lakshita purchased a sofa set at a discount of 25%. As per her calculations, she noticed that if she had not been given this discount, she would have paid INR 22,400 more as the cost of this sofa set. How much did Lakshita pay for the sofa set?
Option 1: INR 22,400
Option 2: INR 33,600
Option 3: INR 67,200
Option 4: INR 67,000
Correct Answer: INR 67,200
Solution : Let the marked price be $x$. Selling price after 25% discount = $x$ – 25% of $x$ = $\frac{3x}{4}$ According to the question, $x-\frac{3x}{4}$ = 22400 ⇒ $\frac{x}{4}$ = 22400 ⇒ $x$ = 89,600 Now, the price paid by Lakshita = $\frac{3x}{4}=\frac{3}{4}×89600$ = INR
Question : Minor arc $BC$ subtends $\angle BAC$ and $\angle BDC$ at points $A$ and $D$, respectively, on the circumference of the major sector of the circle with centre $O$. What is the value (in degrees) of $(\angle ABC+\angle ACB)$, if $\angle BDC=73^{\circ}?$
Option 1: $117^{\circ}$
Option 2: $107^{\circ}$
Option 3: $103^{\circ}$
Option 4: $113^{\circ}$
Correct Answer: $107^{\circ}$
Solution : Given: Minor arc $BC$ subtends $\angle BAC$ and $\angle BDC$ at points $A$ and $D$. $\angle BDC=73^{\circ}$ So, $\angle BAC=73^{\circ}$ (common base) We know that in $\triangle ABC$, $\angle ABC+\angle BAC+\angle ACB=180^{\circ}$ Putting the value of $\angle BAC=73^{\circ}$, we have, ⇒ $\angle ABC+73^{\circ}+\angle ACB=180^{\circ}$ ⇒
Question : Directions: Identify the figure given in the options which when put in place of the question mark (?) will logically complete the series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : In the given figure, the following pattern is being followed – 1. The lines with the square on the top change to the line with an asterisk on the top in every alternate box one by one, starting from the left side from the second box
Question : At the beginning of a partnership business, the capital of B was $\frac{3}{2}$ times that of A. After 8 months B withdrew $\frac{1}{2}$th of his capital and after 10 months A withdrew $\frac{1}{4}$th of his capital. At the end of the year, if the profit incurred is Rs. 53,000, find the amount received by A.
Option 1: Rs. 30,800
Option 2: Rs. 32,000
Option 3: Rs. 30,000
Option 4: Rs. 23,000
Correct Answer: Rs. 23,000
Solution : Let A invest Rs. $x$ at the beginning of the partnership business, then the ratio of the profit A and B, $=(x\times10+\frac{3x}{4}\times2):(\frac{3x}{2}\times8+\frac{3x}{4}\times4)$ $=\frac{23x}{2}:15x$ $=23:30$ The amount received by A in the profit, $=\frac{23}{53}\times53000$ = Rs. 23,000 Hence, the correct answer is Rs. 23,000.
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