Quantitative Aptitude Quiz for SSC (Percentage): 11 March 2021

Updated Thu, 11 Mar 2021 10:09 PM IST

1. P % of Q is R and (P + 35) % of Q is equal to 3R. Value of Q, If the value of R is 17.5 the value of Q is
a) 70b) 80c) 100d) 105
 
2. A is 15% more than B, and C is 12% less than B. If the difference between A and C is 54, what is the value of A?
 
a) 115b) 230c) 172.5d) 345
 
3.

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Instead of finding 35% of a number, Roohi incorrectly found 53% of the number. She got an answer, which is 194.4 more than the actual answer. What is the actual answer?
 
a) 378b) 540c) 450d) 432
 
4.

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The salary of a person increases by 45% and his expenses also increase by 45%. What will be the percentage change in his savings?
 
a)No changeb) 22.5%c) 45%d) CND
 
5. Mr. Agnihotri saves 25% of his salary every month. But in a particular month, his expenses increase by 20% of his original expenses and he saves $135 less than the amount he saves normally. What is his salary?
 
a)$900       b) $800          c) $750             d)$1050blo
 
6. In every box of 125 bulbs, 24% are defective. If a company needs 7,500 non-defective bulbs, what is the minimum number of boxes that it has to purchase?
 
a) 79b) 75c) 78d) 81
 
7. If a student scores 25% marks in a test, he fails by 2 marks; but if he scores 30% marks, he passes by 7.6 marks.
Calculate the maximum marks.
 
a) 216b) 192c) 200d) 168
 
8. If a student scores 25% marks in a test, he fails by 2 marks; but if he scores 30% marks, he passes by 7.6 marks.
Calculate the Passing marks.
 
a) 48b) 64c) 50d) 62
 
9. Priyam said to Vicky, If you give me 25% of your pocket money, I will have 100% more than what you will be left with. By how much percent is Priyam's pocket money more than Vicky's?
 
a) 25%b) 50%c) 75%d) CND
 
10. If 20% of x3 and 540% of y3 are equal, then x is what percentage of y?
 
a) 100%b) 200%c) 300%d) 400%
 
Solution
 
1. P % of Q = R ... (1)
And (P + 35) % of Q = 3R ... (2)
From (2) - (1):
35% of Q = 2R
0.35Q = 2R
 Q = 40/7 R
Q = 40/7 x 17.5 = 100
 
2. A = 15% more than B = 1.15B
C = 12% less than B = 0.88B
A - C = 18 
 1.15B - 0.88B = 54
 0.27B = 54
 B = 200
A = 230
 
3. Let the number be k.
Original answer should be 0.35k.
Her answer is 0.53k.
Difference = 0.18k
It is given as 194.4.
k = 1080
Actual answer = 0.35k =378
 
4. Let the income be i and the expenses be e.
Then, savings (s) = income (i) - expenses (e)
s = i - e
Now, new income (I) = i + 45% of i = 1.45i
Similarly, new expenses (E) = 1.45e
Therefore, new savings (S) = new income (I) - new expenses (E)
S = 1.45i - 1.45e = 1.45(i - e) 
S = 1.45s
% change in savings = (0.45 s)/s × 100 = 45 %



5. Let 'x' be the salary and 0.75x be the expenses.
In that particular month, the expenses increase by 20% and become 0.90x.
So, the savings decrease by 0.15x, and it is equal to 135.
Therefore, 0.15x = 135
 x = $900
 
6. Each box contains 95 non-defective bulbs
7500/95  = 78.94
So, the company has to purchase a minimum of 79 boxes to meet its requirement of bulbs. 
Let the maximum marks be M. 

7. According to question
M x 0.25 +2 = M x 0.30 -7.6
0.05M = 9.6
M = 192
 
8. Let the maximum marks be M. 
According to question
M x 0.25 +2 = M x 0.30 -7.6
0.05M = 9.6
M = 192
 
Passing Mark = 192*0.25 + 2 = 50
 
9. Let the Vicky money be Rs. 100
After giving 25% to Priyam, Vicky left with Rs. 75
Now Priyam has Rs. 150
i.e.Priyam had Rs. 125 before or we can say Priyam’s money is 25% more than Vicky
 
10. 20x^3 = 540y^3
x = 3y
x is 300% of y


 

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