# Mental Arithmetic, Basic and General Mathematics Practice Questions Test

#### Question No 1

What is 10 less 5/9 of 117?

Solution!
(5/9) * 117 = 65! !65 - 10 = 55.

#### Question No 2

What is the average of 8, 13, 25, 43, and 11?

Solution!
(8+13+25+43+11)/5 = 100/5!= 20.

#### Question No 3

If A/B is 2/3 and difference between values of A and B is 10 What is value of B?

Solution!
If B is 30, A is 20 so difference of 10 is maintained..

#### Question No 4

If average of 8, 7, 12, 15 and x is 11 what is x?

Solution!
(8+7+12+15+x)/5 = 11! !42+x = 55! !x = 55-42!=13.

#### Question No 5

35 Kg of spinach costs Rs. 28. How many Kg of spinach can be bought for Rs. 16?

Solution!
Amount of spinach which can be bought in Rs. 28 = 35 kg! !Amount of spinach which can be bought in Rs. 1 = 35/28 = 5/4 Kg! !Amount of spinach which can be bought in Rs. 16 =(5/4)*16 = 20 Kg.

#### Question No 6

In a class the ratio of boys to girls is 1/3. What percent of students are girls?

Solution!
Percentage of girls in class = (3/4)*100 = 75%.

#### Question No 7

What is smallest integer greater than 1 that leaves remainder 1 when it is divided by 5 or 8?

Solution!
40 is the least common multiple of 5 and 8 so 41 will be the smalles integer that leaves 1 when it is divided by 5 or 8..

#### Question No 8

Add 32 + 8 + 18 + 25.

Solution!
32 + 8 = 40! !40 + 18 = 58! !58 + 25 = 83.

#### Question No 9

Multiply 72 by 15.

Solution!
72 * 15 = 1080! !Other way is! !72 * 10 = 720!and!720 / 2 = 360! !720 + 360 = 1080.

#### Question No 10

The side of a square is 2. What is the area of the square?

Solution!
Area of square is!2 * (any side)!= 2 * (2) = 4 square units.

#### Question No 11

Multiply 6.85 by 7.

Solution!
6.85 * 7 = 47.95.

#### Question No 12

Subtract 369 from 1250.

Solution!
1250 - 369 = 881.

#### Question No 13

Which of the following is the least number which is divisible by both 12 and 18?

Solution!
Least common multiple of 12 and 18 is 36.

#### Question No 14

In a Zoo deers and lions are in ratio of 5/2. If there are 20 deers how many lion are there?

Solution!
20 is 4 times of 5 So in this way 4 times of 2 will be 8..

#### Question No 15

Deduct 865 from 1063.

Solution!
1063 - 865 = 198.

#### Question No 16

What is 35% of 250?

Solution!
35 * (250/100) = 87.5! !Quick way to find answer from options is! !33% of 250 is nearly 83(250/3 = 83.3)! !So, answer should be in 80's which is only one option 87.5.

#### Question No 17

John's fail to pass ratio in mathematics test is 5/2. In how many tests did he pass if total tests conducted were 42?

Solution!
Pass ratio = (2/7)*42 = 12.

#### Question No 18

John can read 8 pages of a book in 7 minutes, how long will he take to read 40 pages?

Solution!
40/8 = 5! !As pages are increased 5 times. So minutes will also increase 5 time.! !7 * 5 = 35.

#### Question No 19

Which is greater, (A) 5/8 of 112 , (B) 7/8 of 88?

Solution!
(5/8) * 112 = 70! !and!(7/8) * 88 = 77! !Hence, (7/8) of 88 is greater..

#### Question No 20

If m is an even integer and 3m < 48 and 2m > 24 then m = ?

Solution!
3*14 = 42 (lesser than 48)!and!2*14 = 28 (greater than 24)..

Solution!
1.99 * 3 = $5.97. #### Question No 37 What is the largest 4 digit number exactly divisible by 88? #### Select the correct answer Solution! No answer description available for this question.. #### Question No 38 16 men dig a ditch in 10 days. How many men would be required to complete the job in half the time? #### Select the correct answer Solution! Double number of men are required to complete the job in half time.. #### Question No 39 If one third of the staff at school are teachers find the ratio between teachers to non-teachers. #### Select the correct answer Solution! ratio of teachers = 1/3! !ratio of non-teachers = 2/3! !Ratio of teachers to non-teachers = (1/3) * (3/2) = 1/2. #### Question No 40 30 men can complete a work in 30 days how long will 20 men take to complete the same amount of work? #### Select the correct answer Solution! x/30 = 30/20! !x = (30/20)*30 = 45. #### Question No 41 The average of five numbers is 27.If one number is excluded the average becomes 25.What is the excluded number? #### Select the correct answer Solution! No answer description available for this question.. #### Question No 42 Average of 3 numbers is 15. What is the sum of 3 numbers? #### Select the correct answer Solution! Let sum is x. ! !x/3 = 15!x = 15*3 = 45. #### Question No 43 If the number 5r2 is divisible by 6, then r = ? #### Select the correct answer Solution! 572 is completely divisible by 6.. #### Question No 44 100/101 = ? #### Select the correct answer Solution! 100/101 = 0.990099. #### Question No 45 Add 2/5 of 90 to 5/6 of 78. #### Select the correct answer Solution! (2/5) * 90 = 36! !(5/6) * 78 = 65! !36 + 65 = 101. #### Question No 46 A motorcyclist travels 200 Km in 1 hr. How many minutes if would take him to travel 120 Km? #### Select the correct answer Solution! 200 Km distance covered in minutes = 60! !1 Km distance covered in minutes = 60/200 = 3/10! !120 Km distance covered in minutes = (3/10) * 120 = 36 minutes. #### Question No 47 If n is even, Which of the following cannot be odd? (1) n+3 (2) 3n (3) n^2 - 1 #### Select the correct answer Solution! 3n and n^2 - 1 will always odd so in case of 3n answers will be even.. #### Question No 48 If n is not equal to 0, Which of the following must be greater than n? (1) 2n (2) n^2 (3) 2-n #### Select the correct answer Solution! Square of every non zero integer is grater than the orignal number.! !*Note that multiple of 2 of negative numbers are lesser than the orignal number.. #### Question No 49 What is average of 3, 5 and 10? #### Select the correct answer Solution! (3+5+10)/3 = 18/3 = 6. #### Question No 50 15 weavers can weave some length of cloth in 1 hr. 24 minutes. How many more weavers are required to do the same job in 60 minutes? #### Select the correct answer Solution! x/15 = 84/60! !x = (84/60)*15 = 21! !So 21 - 15 = 6 more weavers are required to do the same job in 60 minutes.. #### Question No 51 A bus covers a distance of 60 Km in 1.5 hr. How far it would travel in half hour. #### Select the correct answer Solution! Distance covered in 1.5 hr = 60! !Distance covered in 1 hr = 60/1.5 = 40 Km! !Distance Covered in 0.5 hr = 40 * 0.5 = 20. #### Question No 52 What is average of 2 , 5 and 8? #### Select the correct answer Solution! (2+5+8)/3 = 15/3 = 5. #### Question No 53 If the sum of three consecutive whole numbers is 15, what is the largest of the three numbers? #### Select the correct answer Solution! 6+5+4 = 15. #### Question No 54 When R is divided by 7 remainder is 3. What is the remainder when 3R is divided by 7? #### Select the correct answer Solution! No answer description is available for this question.. #### Question No 55 A cigarette case is full of cigars and cigarettes, probability of a cigarette is 8/15. What is the ratio of cigars to cigarettes. #### Select the correct answer Solution! In 15 cigars and cigarettes there are 8 cigarettes So ratio between cigars and cigarettes is 8/7. Which means there are 8 cigarettes and 7 cigars.. #### Question No 56 The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg.Find the average weights of all the boys in the class. #### Select the correct answer Solution! ! !In this question weighted average is calculated rather than simple average! !(50.25*16 + 45.15*8)/(16+8) = 48.55. #### Question No 57 If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students? #### Select the correct answer Solution! Weighted average will be more close to the average of that batch which has maximum number of students so aanswer is 54.68! !If you want to calculate it by formula then solution is! !(55*50 + 60*55 + 45*60)/(55 + 60 + 45) = 54.68. #### Question No 58 What is the sum of first 5 positive even integers? #### Select the correct answer Solution! 2+4+6+8+10 = 30. #### Question No 59 A coach trip starts at nine fifty.It lasts twenty-five minutes.At what time does it finish? #### Select the correct answer Solution! No answer description available for this question.. #### Question No 60 At a particular time shadow of a pole 40m long is measured to be 30m. If the length of a plaza is 200m then how long would the shadow be at about the same time? #### Select the correct answer Solution! Shadow of 40m pole = 30m! !Shadow of 1m pole = 30/40m! !Shadow of 200m plaza = (30/40)*200 = 150m. #### Question No 61 Multiply 86 by 9 and add to 13 multiplied by 6. #### Select the correct answer Solution! 86 * 9 = 774! !13 * 6 = 78! !774 + 78 = 852. #### Question No 62 In the first 10 overs of a cricket game the run rate was only 3.2 What should be the run rate in the remaining 40 overs to reach the target of 282? #### Select the correct answer Solution! 3.2 * 10 = 32! !After 10 overs score is 32.! !Remaining score = 282 - 32 = 250! !Required rate = 250 / 40 = 6.25 runs/over. #### Question No 63 Subtract eight and nine from twenty-five. #### Select the correct answer Solution! 25 - 8 - 9 = 8. #### Question No 64 Divide 52 by 4 and add 17 multiplied by 3. #### Select the correct answer Solution! 52 / 4 = 13! !17 * 3 = 51! !13 + 51 = 64. #### Question No 65 If the number 481z673 is completely divisible by 9, what is the the smallest whole number in place of z? #### Select the correct answer Solution! Select answer from options! !4817673 is completely devisible by 9.. #### Question No 66 Average of 4 numbers is 24. What is the sum of the four numbers? #### Select the correct answer Solution! x/4 = 24!x = 24*4!x = 96. #### Question No 67 49/10 + 49/10 + 49/10 = ? #### Select the correct answer Solution! By taking LCM of these three terms we have! !(49+49+49)/10 = 147/10. #### Question No 68 Sum of three consecutive odd integers is 51. Which of the following is the smallest of the three? #### Select the correct answer Solution! 19+17+15 = 51. #### Question No 69 Multiply 7 by 4 by 6. #### Select the correct answer Solution! 7 * 4 = 28! !28 * 6 = 168. #### Question No 70 Divide 672 by 12. #### Select the correct answer Solution! 672 / 12 = 56. #### Question No 71 What is average of 12 , 15 and 18? #### Select the correct answer Solution! (12+15+18)/3 = 45/3 = 15. #### Question No 72 A/B = 2/3. If value of A is 8 What is the value of B? #### Select the correct answer Solution! 8/B = 2/3!2B = 24!B = 12! !*In short-cut way We can find 2 is multiplied by 4 to get 8 so if we multiply 3 with 4 we get 12 which is the value b B when value of A is 8.. #### Question No 73 A cycle costs$170.Jane saves $50 each week.How many weeks will it be before she can buy it? #### Select the correct answer Solution! 170 / 50 = 3.4!But 3.4 is not in options so nearest Option is 4. #### Question No 74 How much is 25% of$200?

Solution!
25 * (200/100) = $50! !Or!200 / 4 =$50.

#### Question No 75

Deduct 7.3 from 34.2.

Solution!
34.2 - 7.3 = 26.9.

#### Question No 76

In a box ratio of DVD to VCD is 2/3. Which of the following cannot be the total number of CD's in the box?

Solution!
As 2+3 = 5, So total number of CD's must be multiple of 5.! !In the options all are multiple of 5 except 11! !So 11 is the correct answer..

#### Question No 77

What is 126 divided by 3?

Solution!
126 / 3 = 42.

#### Question No 78

What is 15 multiplied by 11?

Solution!
15 * 11 = 165.

#### Question No 79

A number is thrift if it is a multiple of 2 or 3. How many thrift numbers are there between 0 and 15?

Solution!
Thrift numbers between 0 and 15 are following! !2,3,4,6,8,9,10,12,14.

#### Question No 80

64% of the children in school are girls.What percentage are boys?

Solution!
100 - 64 = 36%.

#### Question No 81

Which of the following is an integer that has a remainder of 1 when it is divided by 4,5 and 6?

Solution!
Least common multiple of 4,5 and 6 is 60 so 61 is an integer that has a remainder of 1 when it is divided by 4,5 and 6..

#### Question No 82

What is average of 2, 5 , 6 , 9 and 18?

Solution!
(2+5+6+9+18)/5 = 40/5 = 8.

#### Question No 83

Divide 56 by 8 and add 17.

Solution!
56 / 8 = 7! !7 + 17 = 24.

#### Question No 84

Multiply 7 by 12 and divide by 6.

Solution!
7 * 12 = 84! !84 / 6 = 14.

#### Question No 85

Which of the following is a prime number?

Solution!
A prime number is the number which is divisible by 1 and by itself only! !and 2 is the only one even number which is prime..

#### Question No 86

If p is and odd integer and 7p > 50 and 3p < 35 then p is?

Solution!
7*11 = 77 (greater than 35) and 3*7 = 33 (lesser than 35)! !*Note that 8 is also true but in question it is explicitly said that integer must be odd..

#### Question No 87

Multiply 15 by 6 and subtract 29.

Solution!
15 * 6 = 90! !90 - 29 = 61.

#### Question No 88

Price of a mobile phone is Rs. 8,000. A man has enough money to purchase 3 mobiles. How many mobile can he purchase if the price is reduced by Rs. 2000?

Solution!
Minimum amount of money that he has = 8,000 * 3 = 24,000! !If price is reduced to 6,000, he can purchase 24,000/6,000 = 4.

378 * ? = 252

Solution!
252 / 378 = 2/3.

#### Question No 90

What is 9 multiplied by 8?

Solution!
9 * 8 = 72.

#### Question No 91

What is the difference of the product and the quotient of 8 and 8?

Solution!
8*8 = 64!and!8/8 = 1!So,!64 - 1 = 63.

#### Question No 92

What is 8/40 expressed as a decimal?

Solution!
Simple way is! !(8/4) * (1/10) = 2 * 0.1 = 0.2.

#### Question No 93

At an educational trip of a school ratio of boys to girls students was 4/5. how many students were on the tour?

Solution!
Data is insufficient for this problem. But we can find the answer from the options. As 4 + 5 = 9, So answer should be multiple of 9 to fullfil the condition of 4/5 ratio..

#### Question No 94

Ahmad reads 24 pages of a book in 15 minutes. The rate of pages read per minute by him will be

Solution!
24/15 = 8/5!8/5 = 1.6.

#### Question No 95

The average of 20 numbers is 0, How many of them may be greater than zero,at the most?

Solution!
Maximum Numbers that can be greater than 0 to maintain total average greater than 0 are 19..

#### Question No 96

7/21 in lowest term is?

Solution!
7/21 = 1/3.

#### Question No 97

If x = 8*89 and y = 8*85, What is the value of x-y ?

Solution!
(8*89) - (8*85)!=8*(89 - 85)!=8*(4)=!32.

#### Question No 98

Which one of the following is a prime number ?

Solution!
307 is only number which is divisible by 1 and by itself only..

#### Question No 99

If the product of 4 consecutive integers is 120, which is greater?

Solution!
5*4*3*2 = 120.

#### Question No 100

Add 5683 to 1729 and divide by 2.