Staff Selection Commission Combined Graduate Level Exam
Question : A point D is taken from the side BC of a right-angled triangle ABC, where AB is hypotenuse. Then:
Option 1: AB2 + CD2 = BC2 + AD2
Option 2: CD2 + BD2 = 2AD2
Option 3: AB2 + AC2 = 2AD2
Option 4: AB2 = AD2 + BD2
Correct Answer: AB2 + CD2 = BC2 + AD2
Solution : According to the question, Using Pythagoras theorem, In $\triangle$ABC AB2 = AC2 + BC2 ...........................................(i) In $\triangle$ACD AD2 = AC2 + CD2 AC2 = AD2 – CD
Question : The percentage change in a number when it is first decreased by 10% and then increased by 10% is:
Option 1: 0.1% increase
Option 2: 1% decrease
Option 3: 0.1% decrease
Option 4: No changes
Correct Answer: 1% decrease
Solution : For successive percentage change use the following formula, Net percentage change = ($x+y+\frac{xy}{100}$)%, where $x$ and $y$ are percentage increases or decreases, if increases take positive and if decreases take negative. So, net percentage change = $- 10 + 10 + \frac{(-10) × (10)}{100}$
Question : ____________ port, situated at the head of the Gulf of Kutch, has been developed as a major port to cater to the needs of western and north-western parts of the country and also to reduce the pressure at Mumbai port.
Option 1: Ahmedabad
Option 2: Kandla
Option 3: Kochi
Option 4: Kolkata
Correct Answer: Kandla
Solution : The correct option is Kandla.
Located at the head of the Gulf of Kutch, Kandla Port has grown to become a major port to service the country's western and northwest regions and relieve pressure on Mumbai Port.
Question : Rs. 782 is divided into three parts in the ratio $\frac{1}{2}:\frac{2}{3}:\frac{3}{4}$. The first part is:
Option 1: Rs. 182
Option 2: Rs. 204
Option 3: Rs. 190
Option 4: Rs. 196
Correct Answer: Rs. 204
Solution : Given ratio = $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ LCM of 2, 3 and 4 = 12 Now, multiplying all ratios by 12, we get, $(\frac{1}{2} × 12) : (\frac{2}{3} × 12) : (\frac{3}{4} × 12)$ $=6 : 8 : 9$ The sum of the
Question : Silver halides are used in photographic plates because they are
Option 1: oxidised in air
Option 2: soluble in hyposolution
Option 3: reduced in light
Option 4: totally colourless
Correct Answer: reduced in light
Solution : The correct option is reduced in light.
Silver halides are used in photographic plates because they are light-sensitive compounds. When exposed to light, silver halide crystals undergo a chemical reaction that forms a latent image. This latent image can be developed to create
Question : What will be the remainder when 2654081 + 9 is divided by 266?
Option 1: 8
Option 2: 6
Option 3: 1
Option 4: 9
Correct Answer: 8
Solution : We have, 2654081 + 9 or (266 - 1)4081 + 9 is divided by 266. Dividing 265 by 266 leaves a remainder of – 1. Since 4081 is an odd number. So, remainder when 2654081 is divided by 266 = (–1)4081
Question : Anil and Tirath drove between two points, A and B, 192 km apart. Anil started the journey from point A at 8:20 am, drove at a speed of 64 km/hr, reached point B, and immediately returned to A at the same speed. Tirath started the journey from point A at 9:50 am, drove at a speed of 96 km/hr, reached point B, and immediately returned to A at the same speed. At what time did Anil and Tirath first meet each other?
Option 1: 11:38 am
Option 2: 11:28 am
Option 3: 11:43 am
Option 4: 11:33 am
Correct Answer: 11:38 am
Solution : Given: The distance between Point A and B is 192 km. Anil's speed is 64 km/hr. So, it will take $\frac{192}{64} = 3$ hours for Anil to reach point B. He started at 8:20 am. So, he will reach point B at 8:20 +
Question : Select the most appropriate option to complete the given sentence. The news of his arrest spread rapidly in every _____________ of the city.
Option 1: rack and ruin
Option 2: ins and outs
Option 3: nook and corner
Option 4: life and soul
Correct Answer: nook and corner
Solution : The correct option is the third option.
Explanation: This idiom means that the news spread everywhere in the city, reaching even the smallest or most remote places. It refers to every small or hidden place, leaving no part of the city untouched by
Question :
Directions: In the following question, select the related word from the given alternatives. Bacteria : Microscope :: Moon : ?
Option 1: Night
Option 2: Earth
Option 3: Satellite
Option 4: Telescope
Correct Answer: Telescope
Solution : Given: Bacteria : Microscope :: Moon : ?
Bacteria are seen with the help of a microscope. Similarly, the Moon is seen with the help of a telescope.
Hence, the fourth option is correct.
Question : In the figure, AB = AD = 9 cm, AC = AE = 13 cm, and BC = 15 cm. Find ED.
Option 1: 18 cm
Option 2: 16 cm
Option 3: 14 cm
Option 4: 15 cm
Correct Answer: 15 cm
Solution : Given: AB = AD = 9 cm, AC = AE = 13 cm, and BC = 15 cm. $\triangle$ ABC congruent to $\triangle$ ADE by SAS ⇒ ED = BC = 15 cm Hence, the correct answer is 15 cm.
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
And never miss an important update
