Staff Selection Commission Combined Graduate Level Exam
Question : Direction: In the following question, select the related number from the given alternatives.
2 : 32 :: 3 : ?
Option 1: 143
Option 2: 243
Option 3: 293
Option 4: 183
Correct Answer: 243
Solution : Given:
In this analogy,
Similarily,
So, the analogy become– 2 : 32 :: 3 : 243
Hence, option second is correct.
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.) (9, 69, 17); (13, 47, 7)
Option 1: (13, 57, 19)
Option 2: (10, 36, 8)
Option 3: (22, 49, 9)
Option 4: (19, 50, 4)
Correct Answer: (19, 50, 4)
Solution : Given: (9, 69, 17); (13, 47, 7)
Here, (9, 69, 17)→(9 × 2) + (17 × 3) = 18 + 51 = 69 (13, 47, 7)→(13 × 2) + (7 × 3) = 26 + 21 = 47
Let's check the options –
Question : The distance between the centres of two circles having radii of 8 cm and 3 cm is 13 cm. The length (in cm) of the direct common tangent of the two circles is:
Option 1: 15 cm
Option 2: 16 cm
Option 3: 18 cm
Option 4: 12 cm
Correct Answer: 12 cm
Solution : Given: AB = 13 cm AP = 8 cm BQ = 3 cm Direct common tangent (PQ) = $\sqrt{d^2-(r_1-r_2)^2}$ = $\sqrt{13^2-(8-3)^2}$ = $\sqrt{13^2-5^2}$ = $\sqrt{169-25}$ = $\sqrt{144}$ = 12 cm Hence, the correct answer is 12 cm.
Question : The executive power of the Union is vested in the:
Option 1: Council of Ministers headed by the Prime Minister
Option 2: Prime Minister
Option 3: Chief Justice of the Supreme Court
Option 4: President
Correct Answer: President
Solution : The correct answer is President.
The President of India is the ceremonial head of state. The President is elected by an Electoral College, which consists of the elected members of both houses of Parliament (Rajya Sabha and Lok Sabha) and the elected members of the
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the pair of words given below. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Cattle : Herd
Option 1: Soldiers : Colony
Option 2: Sailors : Crew
Option 3: Pupils : Team
Option 4: Player : Class
Correct Answer: Sailors : Crew
Solution : Given: Cattle : Herd (A group of Cattle is called a herd.)
Let's check the options – First option: Soldiers : Colony; A group of Soldiers is called an army whereas a Colony is a group of ants. Second option: Sailors : Crew;
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. His father was ___ the same business.
Option 1: managing over
Option 2: engaged in
Option 3: endowed with
Option 4: enlisted in
Correct Answer: engaged in
Solution : The second option is the correct answer: engaged in.
"engaged in" means to be occupied with something, making it an appropriate fit for the scenario in the sentence.
Therefore, the correct answer is "His father was engaged in the same business."
Question : A shopkeeper earns a profit of 15% after selling a book at a 20% discount on the printed price. The ratio of the cost price to the printed price of the book is:
Option 1: 20 : 23
Option 2: 23 : 20
Option 3: 16 : 23
Option 4: 23 : 16
Correct Answer: 16 : 23
Solution : Selling price = $\frac{100-\text{discount%}}{100}×$ marked price Selling price = $\frac{100+ \text{profit%}}{100}×$ cost price From both formulas, $\frac{100-\text{discount%}}{100}×$ marked price = $\frac{100+ \text{profit%}}{100}×$ cost price ⇒ $\frac{100-20}{100}×$ marked price = $\frac{100+15}{100}×$ cost price ⇒ Cost price : marked price = 80 : 115 =
Question : The length of the side of a cube is 2.8 cm. What is the volume of the largest sphere that can be taken out of the cube?
Option 1: 11.50 cm3
Option 2: 1.15 cm3
Option 3: 11.55 cm3
Option 4: 115 cm3
Correct Answer: 11.50 cm3
Solution : The length of the side of a cube = 2.8 cm. The diameter of the largest sphere that can be taken out of the cube = 2.8 cm So, required radius = 1.4 cm Volume of sphere = $\frac{4}{3}\pi r^3$ = $\frac{4}{3}\times \frac{22}{7}\times
Question : What may be the cause of malfunctioning of thyriod gland ?
Option 1: Iodine deficiency
Option 2: Iron deficiency
Option 3: Calcium deficiency
Option 4: Vitamin C
Correct Answer: Iodine deficiency
Solution : The correct option is - Iodine deficiency
Iodine is an element that the thyroid gland needs to produce thyroid hormones. Seafood, seaweed, plants growing in iodine-rich soil, and iodized salt are the main sources of iodine. Hypothyroidism can result from inadequate iodine intake. For
Question : If $\tan A-\tan B-\tan C=\tan A \tan B \tan C$, what is the value of A in terms of B and C?
Option 1: $A = B + C$
Option 2: $A = 2 B - 2C$
Option 3: $A = B - C$
Option 4: $A=\frac{B-C}{2}$
Correct Answer: $A = B + C$
Solution : Given, $\tan A-\tan B-\tan C=\tan A \tan B \tan C$ ⇒ $\tan A - \tan A \tan B \tan C = \tan B + \tan C$ ⇒ $\tan A(1-\tan B \tan C)= \tan B + \tan C$ ⇒ $\tan A =
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