Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In a certain code language, BIND is coded as 9214 and DRIB is coded as 4109. What is the code for N in the given code language?
Option 1: 4
Option 2: 2
Option 3: 1
Option 4: 9
Correct Answer: 2
Solution : Given: BIND is coded as 9214 and DRIB is coded as 4109.
Analyse the codes for BIND and DRIB. Here, the common alphabets of BIND and DRIB→B, I, D And, common numbers→4, 1, 9 Therefore, the remaining letter in BIND is N and the remaining
Question : A shopkeeper claims to sell his article at a discount of 10% but marks his articles by increasing the cost of each by 20%. His gain percentage is:
Option 1: 18%
Option 2: 12%
Option 3: 8%
Option 4: 16%
Correct Answer: 8%
Solution : Let $100x$ be the cost price. Marked price = 20% above cost price = $100x + 20x$ = $120x$ Discount = 10% of marked price = 10% of $120x$ = $12x$ Selling price = marked price – discount = $120x - 12x$ = $108x$ Gain
Question : In cricket, if the umpire raises an index finger above the head, it means__________.
Option 1: dead ball
Option 2: wide ball
Option 3: no ball
Option 4: batsman is out
Correct Answer: batsman is out
Solution : The correct answer is batsman is out.
In cricket, if the umpire raises an index finger above the head, it means that the batsman who is batting is out and has to go to the pavilion, and a new batsman should come
Question : Three successive discounts of 25% each on the marked price of an item are together equivalent to a single discount of (correct up to 2 decimal places):
Option 1: 62.35%
Option 2: 60.25%
Option 3: 56.45%
Option 4: 57.81%
Correct Answer: 57.81%
Solution : Single equivalent discount = $(a+b–\frac{a×b}{100}$)%, where $a$% and $b$% are successive discounts. Single discount equivalent to successive discounts of 25% and 25% $=25+ 25 - \frac{625}{100} = 43.75$% Single discount equivalent to successive discounts of 43.75% and 25% $=43.75 + 25-\frac{43.75×25}{100} =68.75 - \frac{1093.75}{100} =
Question : Directions: A – B means A is the mother of B, A \% B means A is the brother of B, A \$ B means A is the sister of B, and A @ B means A is the son of B. If L @ M – N \$ O \% P, then how is L related to P?
Option 1: Brother-in-law
Option 2: Father
Option 3: Son
Option 4: Brother
Correct Answer: Brother
Solution : Given: A – B ⇒ A is the mother of B A \% B ⇒ A is the brother of B A $ B ⇒ A is the sister of B A @ B ⇒ A is the son of B
As per the given
Question : Mr. Kapur purchased two toy cycles for Rs. 750 each. He sold these cycles gaining 6% on one and losing 4% on the other. The gain or loss per cent in the whole transaction is:
Option 1: 1% loss
Option 2:
1% gain
Option 3:
1.5% loss
Option 4:
1.5% gain
Correct Answer:
Solution : If the cost price of two articles is the same then net profit % is the average of all profit %. So, overall profit % = $\frac{6-4}{2}$% = 1% profit Hence, the correct answer is '1% gain'.
Question : If $x^2+y^2+2 y+4 x+5=0$, then $\frac{x+y}{x-y}=$______.
Option 1: $-3$
Option 2: $\frac{1}{3}$
Option 3: $-1$
Option 4: $3$
Correct Answer: $3$
Solution : Given equation, $x^2+y^2+2 y+4 x+5=0$ Let us try to make it a perfect square. $x^2+4 x+y^2+2 y+5=0$ ⇒ $x^2 + 4x + 4 -4 + y^2 +2y + 1 -1 + 5=0$ ⇒ $(x+2)^2 + (y+1)^2 -5 + 5 = 0$ ⇒ $(x+2)^2 + (y+1)^2
Question : 5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days. In how many days will 11 women complete the same work?
Option 1: 12
Option 2: 8
Option 3: 6
Option 4: 16
Correct Answer: 12
Solution : Given, 5 men and 8 women can complete a work in 12 days working together 3 men and 7 women together can complete the same work in 15 days Let the work done by a man and a woman in a day be $a$ and
Question : Among three numbers, the second is twice the first and also thrice the third. If the average of the three numbers is 33, then the largest number is:
Option 1: 36
Option 2: 54
Option 3: 62
Option 4: 72
Correct Answer: 54
Solution : Let the first number be $x$, the second number be $2x$ and the third number be $\frac{2x}{3}$. The average of the three numbers is 33. According to the question, $x+2x+\frac{2x}{3}= 3×33$ ⇒ $11x=99 ×3$ $\therefore x=27$ Largest number = $2 ×27=54$ Hence, the correct answer
Question : A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning of the vessel, was:
Option 1: 11.36
Option 2: 15.36
Option 3: 8.64
Option 4: 12.64
Correct Answer: 15.36
Solution : Water in the solution = 64% Acid in the solution = 100% – 64% = 36% Acid in the new solution = 30% Water in the new solution = 100% – 30% = 70% Let the total solution be $100x$ Water = $64x$ Acid =
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