Mathematics MCQs and Answers: Mathematics MCQs are very important for OPSC, OSSC, OSSSC & Other State Exams. Aspirants who are willing to apply for the various Government exams 2022 must go through the topics of Mathematics for competitive exams, as the Mathematics is a key part of the syllabus.
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Directions (1–5):Four shopkeepers John, Johny, Jimmy and Jack buy air conditioners (ACs) from the same wholesaler at the same rate. However, this time Jack managed to get a discount of 5% from the wholesaler and got the ACs at the rate of Rs. 28,500 per AC. By selling the ACs, John earns a profit of 15% while Johny earns a profit of 18%. Jimmy marked the price 20% more than the cost price and offered a discount of 10% while Jack marked the price
Q1. On a particular day, John sold 5 ACs and Jimmy sold 9 ACs. What is the difference between the net profit earned by John and Jimmy on that day?
- 500
- 600
- 900
- 700
- None of these
Q2. What is the difference between the profit percent earned by Johnny and Jimmy?
- 10%
- 11%
- 9%
- 15%
- None of these
Q3. If you plan to purchase an air conditioner, you will get the best deal from which of the shopkeepers?
- John
- Johny
- Jimmy
- Jack
- None of these
Q4. If Jimmy sells three ACs on a particular day, how much profit did he earn that day?
- Rs. 7,700
- Rs. 7,200
- Rs. 6,500
- Rs. 7,800
- None of these
Q5. Which shopkeeper will earn the highest profit % on a day if all of them sell 10 ACs each on that day?
- John
- Johny
- Jimmy
- Jack
- None of these
Q6. Veena bought a watch costing Rs. 1404 including sales tax at 8%. She asked the shopkeeper to reduce the price of the watch so that she can save the amount equal to the tax. The reduction of the price of the watch is?
- Rs.108
- Rs.104
- Rs.112
- Rs.120
- None of these
Q7.A Sales Executive gets a commission on total sales at 8%. If the sale is exceeded Rs.10,000 he gets an additional commission as a bonus of 4% on the excess of sales over Rs.10,000. If he gets the total commission of Rs.950, then the bonus he received is?
- 40
- 50
- 36
- 48
- None of these
Q8.In a College there are 1800 students. Last day except 4% of the boys all the students were present in the college. Today except 5% of the girls all the students are present in the college, but in both the days number of students present in the college, were same. The number of girls in the college is?
- 1000
- 400
- 800
- 600
- 1200
Q9. In a library 60% of the books are in Hindi, 60% of the remaining books are in English rest of the books are in Malayalam. If there are 4800 books in English, then the total number of books in Malayalam are?
- 3400
- 3500
- 3100
- 3200
E.None of these
Q10.80% of a small number is 4 less than 40% of a larger number. The larger number is 125 greater than the smaller one. The sum of these two numbers is
- 325
- 345
- 355
- 365
- None of these
Q11. In a private company 60% of the employees are men and 48% of the employees are Engineer and 66.6% of Engineers are men. The percentage of women who are not engineers is?
- 60%
- 50%
- 55%
- 65%
- 45%
Q12.Initially, Suresh has Rs.200 in his paytm wallet then he increased it by 20%. Once again he increased his amount by 25%. The final value of money in his wallet will be how much % greater than the initial amount?
- 40%
- 50%
- 80%
- 60%
- None of these
Q13.Mr.Ramesh gives 10% of some amount to his wife and 10% of the remaining to hospital expenses and again 10% of the remaining amount to charity. Then he has only Rs.7290 with him. What is the initial sum of money with that person?
- Rs.8000
- Rs.9000
- Rs.10000
- Rs.20000
- Rs.17200
Q14.Initially, a shopkeeper had “x” pens. A customer bought 10% of pens from “x” then another customer bought 20% of the remaining pens after that one more customer purchased 25% of the remaining pens. Finally, the shopkeeper is left with 270 pens in his shop. How many pens were there initially in his shop?
- 200
- 800
- 400
- 600
- 500
Q15.The cost of packaging of the oranges is 20% the cost of fresh oranges themselves. The cost of oranges increased by 30% but the cost of packaging decreased by 50%, then the percentage change of the cost of packed oranges, if the cost of packed oranges is equal to the sum of the cost of fresh oranges and cost of packaging
- 14.5%
- 16.66%
- 14.33%
- 13.66%
- None of these
ANSWER:
S1. Ans. C. 900
Sol. Profit earned by John by selling one AC = Rs. 34,500 –Rs. 30,000 = Rs. 4,500
Profit earned by John by selling 5 ACs = Rs. 4,500 × 4 =Rs. 22,500
Profit earned by Jimmy by selling one AC = Rs. 32,400 – Rs. 30,000 = Rs. 2,400
Profit earned by Jimmy by selling 9 ACs = Rs. 2,400 × 9 = Rs. 21,600
∴ Required difference = Rs. 22,500 – Rs. 21,600 = Rs.900
S2. Ans. A.10%
Sol. Cost price for Jack = Rs. 28,500
∴ CP for John, Johnny and Jimmy = Rs. 28,500 × 100/95 = Rs. 30,000 (Since Jack got 5% discount)
For Johnny, Profit = 18% (given)
For Jimmy, Cost Price = Rs. 30000
MP = 30,000 × 120/100 = 36,000.
SP = 36,000 × 90/100 = Rs. 32,400.
Profit % = [(32400 – 30000)/30000] × 100 = 8%
∴ Required difference = (18 – 8)% = 10%
S3. Ans. D.Jack
Sol. Cost price for Jack = Rs. 28,500
∴ CP for John, Johnny and Jimmy = Rs. 28,500 × 100/95 = Rs. 30,000 (Since Jack got 5% discount)
For John, Cost Price = Rs. 30000
Profit % = 15%
Selling Price = 30000 × (115/100) = Rs. 34500
For Johnny, Cost price = Rs. 30000
Profit % = 18%
Selling price = 30000 × (118/100) = Rs. 35400
For Jimmy, Cost price = Rs. 30000
Profit % = [(32400 – 30000)/30000] × 100 = 8%
Marked price = 30000 × (120/100) = Rs. 36000
Discount% = 2 successive discounts of 10% each
Selling price = 36000 × (90/100) × (90/100) = 32400
For Jack, Cost price = Rs. 28500
Profit % = [(28856.25 – 28500/28500] × 100 = 1.25%
Marked price = 28500 × (125/100) = Rs. 35625
Discount% = 10%
Selling price = 35625 × (90/100) = 28856.25
Hence, we can get the best deal from Jack.
S4. Ans. B. Rs. 7,200
Sol. For Jimmy, Cost price = Rs. 30000
Profit % = [(32400 – 30000)/30000] × 100 = 8%
Marked price = 30000 × (120/100) = Rs. 36000
Discount % = 2 successive discounts of 10% each
Selling price = 36000 × (90/100) × (90/100) = 32400
Profit = Rs. 32,400 – Rs. 30,000 = 2,400
∴ Profit for three ACs = Rs. 2,400 × 3 = Rs. 7200
S5. Ans. B. Johny
Sol. John’s profit % = 15% (given)
Johny’s profit % = 18% (given)
Jimmy’s profit % = (32400 – 30000)/30000 × 100 = 8%
Jack’s profit = (28,856.25 – 28500)/28500 × 100 = 1.25% (approx.)
Hence, Johny earned the highest profit%.
S6. Ans.B. Rs.104
Sol: 1.08x = 1404
x = 1300
The reduction of the price of the watch = 104
S7. Ans. B. 50
Sol: Commission up to 10000 = 10000 * 8/100 = 800
Ratio = 2x:x ; Commission = 2x, Bonus = x ;
Bonus = 950 – 800 * 1/3 = 150 * 1/3 = 50
S8. Ans. C. 800
Sol: From Options;
let Number of girls = 800
Number of boys = 1000
96% of 1000 + 800 = 95% of 800 +1000[satisfies the condition; Check the condition with other options also]
S9. Ans. D. 3200
Sol: Let there be X books in the library.
Hindi books = 60% of X = 60X /100 = 0.6X
Remaining Books = X – 0.6X = 0.4X
English books = 40% of reaming books = 60%
of 0.4X = 0.24X.
Malayalam Books = X-0.6X -0.24X = 0.16X
Given, 0.24X = 4800
X = 4800/0.24 = 20000
Malayalam Books = 0.16X = 0.16*20000 = 3200.
S10.Ans. C. 355
Sol: smaller number = x; larger number = y
0.8x + 4 = 0.4y
4y – 8x = 40
y – x = 125
x = 115; y = 240
x + y = 355
S11. Ans. A. 60%
Sol: Men = 600x
Women = 400x
Total engineers = 480x
Male engineers = 480x * 0.66 = 320x
Women who are Engineers = 160x
Women who are not Engineers = 400x – 160x = 240x
Required percentage = 240/400 * 100 = 60%
S12. Ans. B. 50%
Sol: 200 + 20% of 200 = 240
240 + 25% of 240 = 300
Required percentage = 300 – 200/200 * 100 = 50%
S13. Ans. C. Rs.10000
Sol. Remaining amount = x * 0.9 * 0.9 * 0.9
0.729x = 7290
x = 10000
S14. Ans. E. 500
Sol: x*0.9*0.8*0.75 =270
x = 270 * 10000 / 9 * 8 * 75 x = 500
S15. Ans. B. 16.66%
Sol: Let the initial Cost of fresh oranges = 100.
packaging cost = 20. Initial total cost = 100 + 20= 120
After increasing in cost of fresh mangoes 30%,
Cost of fresh mangoes = 130
And cost of packing go down by 50 % so,
Cost of packing = 10.
Total cost = 130 + 10 = 140.
Increased cost = 140 – 120 = 20.
% increased = (20*100) /120 = 16.66%.
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