Mathematics is an integral part of various competitive exams, including the OSSSC (Odisha Subordinate Staff Selection Commission) RI (Revenue Inspector), ARI (Assistant Revenue Inspector), Amin, SFS, and ICDS Supervisor exams. To excel in these exams, candidates need to have a solid understanding of mathematical concepts and problem-solving skills. To help you prepare effectively, we’ve compiled a list of the top 30 Mathematics Multiple Choice Questions (MCQs) commonly encountered in these exams.
Top 30 Mathematics MCQs For OSSSC RI,ARI, Amin, SFS, ICDS Supervisor
- What is the sum of the first 50 positive integers?
A) 1250
B) 1275
C) 1225
D) 1276
Answer: B) 1275
Solution: The sum of the first n positive integers is given by
n(n+1)/2 =
n=50×51/2=1275 - A father is three times as old as his son. After 15 years, he will be twice as old as his son. What is the father’s current age?
A) 45
B) 42
C) 48
D) 50
Answer: A) 45
Solution:
Let the son’s age be 𝑥
x and the father’s age be 3x.
3x+15=2(x+15)
3x+15=2x+30
x=15
Father’s age:
3x=3×15=45 - A and B invest $2000 and $3000 in a business, respectively. If the profit is $2500, what is A’s share of the profit?
A) $1000
B) $1200
C) $1500
D) $1400
Answer: A) $1000
Solution:
Total investment = $2000 + $3000 = $5000
A’s share = 2000/5000×2500=2/5×2500=1000 - If 5 men can complete a work in 20 days, how many days will it take for 10 men to complete the same work?
A) 10
B) 5
C) 15
D) 20
Answer: A) 10
Solution:
Work done is inversely proportional to the number of men.
5 men×20 days=10 men×x days
5*20/10=10 days - If A can do a piece of work in 12 days and B can do it in 18 days, how long will they take to do it together?
A) 6 days
B) 7.2 days
C) 7.5 days
D) 8 days
Answer: B) 7.2 days
Solution:
Work done by A in 1 day = 1/12
Work done by B in 1 day = 1/18
Total work done in 1 day together =
1/12+1/18=(3+2)/36=5/36
Time taken=36/5=7.2 days - A pipe can fill a tank in 10 hours, and another pipe can empty it in 15 hours. If both pipes are opened together, how long will it take to fill the tank?
A) 30 hours
B) 25 hours
C) 20 hours
D) 15 hours
Answer: C) 30 hours
Solution:
Rate of filling = 1/10
Rate of emptying = 1/15
Net rate = 1/10−1/15=(3−2)/30= 1/30
Time taken=30 hours - . The difference between the place value and the face value of 6 in the numeral 856973 is
(a) 973
(b) 6973
(c) 5994
(d) None of these
Answer: (c) 5994
Sol:place value of 6-Face value of 6=6000-6=5994 - The difference between the local value and the face value of 7 in the cameral 32675149
(a) 75142
(b) 64851
(c) 5149
(d) 69993
Answer: (d) 69993
Sol:place value of 7-Face value of 7=70000-7=69993 - The difference between the place values of two sevens in the numeral 69758472
(a) 0
(b) 6993
(c) 69930
(d) None of these
Answer: (c) 5994
Sol:700000-70=699930 - What day of the week was January 1, 2000?
A) Saturday
B) Sunday
C) Friday
D) Monday
Answer: A) Saturday
Solution: January 1, 2000, was a Saturday. - How many times in a day do the hands of a clock overlap?
A) 22
B) 23
C) 24
D) 21
Answer: B) 23
Solution: The hands of a clock overlap 22 times in 24 hours, plus once at the end of the day. - A man buys 100 shares at $10 each. If the company pays a 5% dividend, what is his annual income?
A) $50
B) $100
C) $150
D) $200
Answer: A) $50
Solution:
Annual Income=Number of Shares×Price per Share×Dividend
=100×10× 5/ 100=50 - How many ways can 5 people be seated in a row?
A) 120
B) 60
C) 240
D) 720
Answer: A) 120
Solution:
5!=5×4×3×2×1=120 - What is the area of a circle with radius 7 cm?
A) 154 cm²
B) 144 cm²
C) 164 cm²
D) 134 cm²
Answer: A) 154 cm²
Solution:
Area=𝜋𝑟^2=22/7×7^2=154 cm
=154 cm - What is the volume of a cube with side length 4 cm?
A) 64 cm³
B) 48 cm³
C) 60 cm³
D) 72 cm³
Answer: A) 64 cm³
Solution:
Volume=side^3=4^3=64 cm - 150.011 – 419.999 + 649.991 = ?
(a) 350
(b) 365
(c) 375
(d) 380
Answer:(d) - 1299 ÷ 19.99 × 25.01 + 400.01 = ?
(a) 2025
(b) 2300
(c) 1925
(d) 2200
Answer:(a) - 06% of 499 + 39.99% of 799 = ?
(a) 420
(b) 380
(c) 440
(d) 470
Answer:(d) - A train running at the speed of 108 km/hr cross a 640 meters long platform in 100/3 sec. Find time taken by train to cross a man, who running at the speed of 36 km/hr in opposite direction.
(a) 9 sec
(b) 12 sec
(c) 15 sec
(d) 8 sec
Answer:(a) 9 sec
20. The average weight of a class of 45 girls is 53 kg. It was later found that weight of two girls was read as 49 kg and 57 kg instead of 45 kg and 52 kg. Find the actual average weight of the class.
(a) 54 kg
(b) 53.40 kg
(c) 50.6 kg
(d) 52.80 kg
Answer:(d) 52.80 kg
21. In new year offer Axis bank reduced interest rate from 20% to 10% per annum on C.I. due to this offer Anurag have to pay Rs. 345 less interest in two year. Find the loan amount of Anurag.
(a) Rs. 1,000
(b) Rs. 2,400
(c) Rs. 4,000
(d) Rs. 1,500
Answer:(d) Rs. 1,500
22. A bag contains 4 yellow and x Red balls. If 2 balls are drawn at random then probability of both are red is 1/3. Find value of x.
(a) 8
(b) 6
(c) 4
(d) 5
Answer:(b) 6
23. The sum of 30% of x and 45% y is equal to zero and the difference between 60% of x and 20% of y is equal to 22 then find the sum of x and y?
(a) 25
(b) 15
(c) 10
(d) 30
Answer:(c) 10
24. An alloy A is formed by mixing gold and silver in the ratio 2 : 1. Another alloy B is formed by mixing silver and platinum in the ratio 3 : 4. An alloy C is obtained by mixing alloys A and B in a certain ratio such that the ratio of gold and platinum in alloy C is 5 : 6. Which of the following correctly represents the share of silver in alloy C.
(a)29/51
(b)37/13
(c)17/31
(d)49/126
Answer:(d)49/126
sol:
We have been given that alloy A contains gold and silver in the ratio 2 Let there be 21x units of A.
So it will have 14x units of gold and 7x units of silver. Let there be 21y units of alloy B. So we have 9 units of silver and 12 units of platinum. Let these two be mixed to get the desired alloy.
Hence, the total amount of gold in alloy C will be 14x and total amount of platinum will be 12y. We
have been given that 14x=5
12y =6
⇒ 84x = 60y
⇒x/y=5/7
Thus alloys A and B must have been mixed in the ratio 5 : 7
Thus, the share of silver in the final mixture
=35 + 63/252 =98/252 =49/126
25. The rate of interest for the first 2 years is 3% per annum, for the next 3 years is 8% per annum, and for the period beyond 5 years is 10% per annum. If the man withdraws a total amount of Rs. 5320 after 6 years, find the sum he deposited.
A) Rs. 4800
B) Rs. 4320
C) Rs. 2380
D) Rs. 3380
E) None of these
Answer: A) Rs. 4800
26.Three persons A, B, and C complete a piece of work in 6 days for which they are paid a sum of Rs. 480. If the efficiency of A, B, and C are in the ratio 4:5:7, then find the daily income of B.
A) Rs. 25
B) Rs. 30
C) Rs. 150
D) Rs. 20
Answer: B) Rs. 30
27. AB de Villiers smashes 86 runs against Australia in 16 balls. If he only scored in boundaries (fours and sixes), then find the maximum percent of runs he scored by hitting fours.
A) 23.25%
B) 26.4%
C) 74.5%
D) 28%
Answer: B) 26.4%
28. Average marks obtained in English by 17 girls of a class is 35. The marks obtained by them are arranged in ascending order form and in Arithmetic progression. If the marks obtained by the 2nd, 6th, 9th, 12th, and 16th positions are removed from the table, then find the new average of marks obtained by the remaining girls in English.
A) 33
B) 35
C) 37
D) Can’t be determined
Answer: D) Can’t be determined
29. On a Big Billion day sale, Google’s flagship mobile phone was available at a discount of 20% on Flipkart. The customers who are purchasing for the first time on Flipkart will get additional cashback of 10% on the billing amount. Suraj, being a first-time user of Flipkart, purchases the mobile phone for Rs. 36000. Find the actual cost price of the mobile phone.
A) Rs. 50000
B) Rs. 45000
C) Rs. 52250
D) Rs. 47250
Answer: A) Rs. 50000
30. The cost of a pen, marker, and sharpener is Rs. 15, Rs. 18, and Rs. 5 respectively. To increase his sales, the shopkeeper sells sets of 5 pens and 3 markers for Rs. 100. Find the amount paid by the customer if he buys 15 pens, 10 markers, and 2 sharpeners.
A) Rs. 378
B) Rs. 356
C) Rs. 328
D) Rs. 367
Answer: D) Rs. 367
