Multiple choice question in Arithmetic for competitive examination
Here are 32 questions on Arithmetic to be attempted in 35 minutes and test your preparedness for the forthcoming competitive examination.
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This is a set of multiple choice questions of arithmatics for competitive examination
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Sr No Question Answer Remarks 1 A three times number when subtracted is equal to two times when subtracted from 25. Find the number 10 35-3x=25-2x; 10=x. For solving such question, it is important to convert it into equation. Only care is to write the equation correctly 2 1.8 meters of cloth is required to make a shirt with a waste of about 0.2 m. How many shirts can be made with a cloth of 45 m long cloth? 22 22 shirts can be made with waste of additional 0.5 meter 3 A labourer is engaged for 20 days at the rate of Rs. 60/day but with a clause of penalty of Rs. 5/- for the days he remains absent. At the end, he gets a payment of Rs. 745/-. The labourer remains absent for how manys days? 7 Let he remained absent for x number of days than he gets the payment for 20-x number of days and penalty of 5x for absent days therefore, 60(20-x)-5x=745 or 1200-60x-5x=745 or x=7 4 A contractor employed 150 men to build a house in 60 days. After 16 days, he was joined by 50 men additional. In how many days will the remaining work be finished? 33 days Remaining work was the be completed by 150 men in 44 days but now he has 200 men than the work will be completed in 44*150/200 = 33 days 5 Kalu buys two variety of mango of equal numbers at the rate of Rs. 6/- and 9/- and mixes together and sells at the rate of Rs. 8/-. What is his gain or loss? 0.0666 Let the quantity of each variety purchase is x, than 16x-6x+9x=x i.e. on sale of 15x he makes a profit of x than on 100 it will be 100/15 or 6.6% 6 A square of a number when subtracted from 4 is same as twice the square of the number when subtracted from 20. What is the number 4 x2-4=2×2-20; x=±4; For solving such question, it is important to convert it into equation. Only care is to write the equation correctly 7 Following proper fractions -4/9, -5/12, -7/18, -2/3, 5/9, -25/36 when written in descending order will look like this 5/9> -7/18> -5/12> -4/9 >-2/3 >-25/36 LCM of denominator is 36, multiple numerator and denominator such that denominator is 36 and numerators will be -16,-15,-14,-24,+20,-25; this makes it easy to put them in ascending or descending order. 8 A father is 30 years older than his son. In 12 years, the man will be three times as old as his son. What is their present age? 3 and 33 Let son age is x and father’s age is y, than y-x=30 and 3(x+12)=y+12=30+x+12 or x=3 or y=33 9 A group of 160 men had provisons for 300 days. After 40 days, 30 men died in an accident. For how many more number of days the the remaining food will last? 20 days 160 men had provison for 2650 days but now 130 men had the provision and it will last 160*260/130 or 320 days. Additional number of days are 20. 10 A shopkeeper sold 36 bananas but suffered a loss equal to the cost price of 4 bananas. What is his loss? 0.1 Let the selling price of each banana is Rs. X, then selling price is 36x and loss 4x; cost price will be 36x+4x=40x, loss will be 4x*100/40x=10% 11 Which series is in ascending order? 1/3< 5/8< 3/4< 7/9< 4/5< 5/6< 7/8 While finding out which fraction is higher than other, the best way is to equal the denominator and than compare the numerator. 12 sum of following proper fractions -4/9, -5/12, 7/18, -2/3, 5/9, 25/36 is Fri Jan 09 2015 00:00:00 GMT+0530 (IST) LCM of denominator is 36, multiple numerator and denominator such that denominator is 36 and numerators will be -16,-15, 14,-24, 20, 25; this makes it easy to total and will be 59-55=4 and the result be 4/36 = 1/9 13 Multiplication of multiple and division of the subtraction and sum of two number is 1, than what the nature of the numbers? consecuitive intiger Let the two numbers is a and b, than (a+b)(a-b) and (a-b)/(a+b) are multiplied, we get (a-B)(a-b)=1 or a-b=±1 therefore they are two consequitve integers 14 45 cows grazes a field in 13 days. How many cows will graze the same field in 9 days? None of these 1 cow grazes the fileld in 45*13 days and therefore 9 will graze in 65 days 15 A shopkeeper sold 40 bananas but suffered a loss equal to the cost price of 4 bananas. What is his loss? 0.1 Let the cost price is x; cost of 36 bananas is 36x; Loss 4x than selling price of 36 bananas is 32x. Now loss 4x*100/40x=10% 16 Sum of a rational number and its reciprocal is equal to 25/12, than what is the number Tue Feb 03 2015 00:00:00 GMT+0530 (IST) x+1/x=25/12: on solving this quadratic equation we get x=3/4 or 4/3 17 Sum of two rational is 97/12 and subtraction is 11/4. what are the numbers? 65/12,8/3 x+y=97/12 and x-y=11/4; solving these equations we get x=65/12 and y=8/3 18 A person buys 56 Kg of milk at the rate of Rs. 28/Kg. What is the ratio between the two? None of these The ratio is derived where units are same therefore division of kg and Rs. Is not called ratio. 19 What is the percentage of pure gold in 22 carat gold. If 24 carat gold is 100% pure gold? 0.9166 22 carrot gold purity is out of 24 carrot gold and is 22/24*100 or 91.66% 20 Diagonal of a square measures 8 cm, than the area of the square is 32 Area of a square is 1/2*(diagonal)2 or 1/2*64=32 cmxcm. 21 A father is twice as old as his son. 20 years ago, the age of the father was 4 times the age of the son. The present age of the father (in years) is 30 Let the age of son is x, than fathers age is 2x; than we write the equation as (x-20)*4=2x-20; 4x-80=2x-20; 2x=60 or x=30 i.e. son’s age 30 and father’s age is 60 years. 22 simplify {(-3/2)2}-3*(2/3)-5 Tue Feb 03 2015 00:00:00 GMT+0530 (IST) {(-3/2)2}-3=(-3/2)-6 or (2/3)6*(2/3)-5 = 2/3 23 The ration between A:B=5:6 and B:C=8:9; than what is the ratio between A:B:C? Sat Dec 30 1899 20:01:07 GMT+0530 (IST) B in second ratio to be changed to 6 i.e. the ratio of B:C can be written as 1:9/8 or 6:6*9/8 or 6:27/4 which can be written as 5:6:27/4 or 20:24:27 24 A number is increased by 10% and than reduced by 10%. What is the net decrease in the number? 0.01 Let the number is 100 and it becomes 110 when increased by 10. Now decrease 110 by 10% it will 110-11=99 i.e. net decrease is 1% 25 Ramesh took a loan of Rs. 1 lakh from a Bank for a period of one year at the interest of 12% and lends it to Rakesh at the interest of 13.5% for a period of 10 months and the money remains idle in his saving bank account for a period of balance 2 months at the interest of 4.5%. What is the gain and profit? Nil Interest paid to the bank 12*100000*1/100=12000/-. Interest received from Rakesh 13.5*100000*10/12*100=11250; Interest received from bank in saving bank account 4.5*100000*2/12*100 = Rs.750 or total receipt is Rs. 12000/- Profit or loss is Nil 26 A sum of two numbers is 13 and multiple is 40; than one of the number is? 8 x+y=13; xy=40; x=40/y; y+40/y=13 or y*y+40-13y=0 ; (x-8)(x-5)=0; x=8,5. The other simple way is to put the value and check 27 Simplify (0.2)-3+(0.25)-3+(0.5)-3 None of these Write decimel numbers as fraction and than inverse it to get 53+43+23=125+64+8=197. You will doubt the answer of none of these and will try it again to confirm the answer. 28 The ratio if A:B = 5:6 and B:C=18:25; than what is ratio between A:C? Thu Mar 05 2015 00:00:00 GMT+0530 (IST) A/B=5/6 and B/C=18/25; A/C 5*18/6*25 or 3/5 29 Salary of Ramesh is 25% more than that of Rohit. How much percentage of Rohit salary is lower as compared to that of Ramesh? 0.2 Let Rohit salary is 100, than Ramesh Salary is 125. Now we can say that if Ramesh Salary is 125 than rohit salary is 100 or if Ramesh salary is 100 than rohit will be 100*100/125 i.e. 80 or 20 % less 30 The ratio of circumference to area of a circle is in proportion to the inverse of the radius of the circle Circumference: 2πr and area πr2 and the ratio will result 1/r: therefore in inverse proportion 31 Integers are those numbers which are which are natural numbers but include zero and negative numbers as well Natural numbers are counting numbers, it beocmes whole when zero is added. With the inclusion of negative, it becomes integers. 32 Simplify {(1/3)-3-(1/2)-3}/(1/4)-3 19/64 33 What number must be added to each of the numbers 5, 9, 7 and 12 to get the numbers which are in proportion? 3 Let the number to be added is x, than(x+5)(x+12)=(x+7)(x+9) i.e. multiple of 1 and 4 is equal to 2 and 3. 17x+60=16x+63 or x=3 34 The price of a purse is reduced by 12% in a discount sale. If the present price is 118.80, what was its original price? Rs. 135/- Let the original price be Rs. 100, than discounted price will be Rs. 88/-. Now 88 corresponds to 100 than 118.8 will corresponds to 100*118.8/88 or Rs. 135/- 35 The diagonal and one side of a rectangular plot is 37 m and 35 m. What is its area? 420 m2 The two sides and diagonal will make a right angle triangle therefore the other side will be √372-352 or √(37-35)(37+35)=√144 =12 m. The area will be 35*12= 420 m2 -
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- Answered
- Review
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Question 1 of 32
1. Question
A three times number when subtracted is equal to two times when subtracted from 25. Find the number
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Question 2 of 32
2. Question
1.8 meters of cloth is required to make a shirt with a waste of about 0.2 m. How many shirts can be made with a cloth of 45 m long cloth?
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Question 3 of 32
3. Question
A contractor employed 150 men to build a house in 60 days. After 16 days, he was joined by 50 men additional. In how many days will the remaining work be finished?
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Question 4 of 32
4. Question
Kalu buys two variety of mango of equal numbers at the rate of Rs. 6/- and 9/- and mixes together and sells at the rate of Rs. 8/-. What is his gain or loss?
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Question 5 of 32
5. Question
A square of a number when subtracted from 4 is same as twice the square of the number when subtracted from 20. What is the number
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Question 6 of 32
6. Question
Following proper fractions -4/9, -5/12, -7/18, -2/3, 5/9, -25/36 when written in descending order will look like this
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Question 7 of 32
7. Question
A father is 30 years older than his son. In 12 years, the man will be three times as old as his son. What is their present age?
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Question 8 of 32
8. Question
A group of 160 men had provisons for 300 days. After 40 days, 30 men died in an accident. For how many more number of days the the remaining food will last?
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Question 9 of 32
9. Question
A shopkeeper sold 36 bananas but suffered a loss equal to the cost price of 4 bananas. What is his loss?
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Question 10 of 32
10. Question
Which series is in ascending order?
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Question 11 of 32
11. Question
sum of following proper fractions -4/9, -5/12, 7/18, -2/3, 5/9, 25/36 is
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Question 12 of 32
12. Question
Multiplication of multiple and division of the subtraction and sum of two number is 1, than what the nature of the numbers?
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Question 13 of 32
13. Question
45 cows grazes a field in 13 days. How many cows will graze the same field in 9 days?
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Question 14 of 32
14. Question
Sum of a rational number and its reciprocal is equal to 25/12, than what is the number
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Question 15 of 32
15. Question
Sum of two rational is 97/12 and subtraction is 11/4. what are the numbers?
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Question 16 of 32
16. Question
A person buys 56 Kg of milk at the rate of Rs. 28/Kg. What is the ratio between the two?
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Question 17 of 32
17. Question
What is the percentage of pure gold in 22 carat gold. If 24 carat gold is 100% pure gold?
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Question 18 of 32
18. Question
Diagonal of a square measures 8 cm, than the area of the square is
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Question 19 of 32
19. Question
A father is twice as old as his son. 20 years ago, the age of the father was 4 times the age of the son. The present age of the father (in years) is
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Question 20 of 32
20. Question
simplify {(-3/2)2}-3*(2/3)-5
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Question 21 of 32
21. Question
The ratio between A:B=5:6 and B:C=8:9; than what is the ratio between A:B:C?
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Question 22 of 32
22. Question
A number is increased by 10% and than reduced by 10%. What is the net decrease in the number?
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Question 23 of 32
23. Question
A sum of two numbers is 13 and multiple is 40; than one of the number is?
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Question 24 of 32
24. Question
Simplify (0.2)-3+(0.25)-3+(0.5)-3
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Question 25 of 32
25. Question
The ratio if A:B = 5:6 and B:C=18:25; than what is ratio between A:C?
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Question 26 of 32
26. Question
Salary of Ramesh is 25% more than that of Rohit. How much percentage of Rohit salary is lower as compared to that of Ramesh?
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Question 27 of 32
27. Question
The ratio of circumference to area of a circle is in proportion to the
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Question 28 of 32
28. Question
Integers are those numbers which are
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Question 29 of 32
29. Question
Simplify {(1/3)-3-(1/2)-3}/(1/4)-3
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Question 30 of 32
30. Question
What number must be added to each of the numbers 5, 9, 7 and 12 to get the numbers which are in proportion?
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Question 31 of 32
31. Question
The price of a purse is reduced by 12% in a discount sale. If the present price is 118.80, what was its original price?
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Question 32 of 32
32. Question
The diagonal and one side of a rectangular plot is 37 m and 35 m. What is its area?
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