# Mental Arithmetic, Basic and General Mathematics Practice Questions Test

#### Question No 1

A/B = 2/3. If value of A is 8 What is the value of B?

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 2

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 3

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 4

What is 126 divided by 3?

Solution!
126 / 3 = 42.

#### Question No 5

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)..

#### Question No 7

Multiply 7 by 4 by 6.

Solution!
7 * 4 = 28! !28 * 6 = 168.

#### Question No 8

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 9

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 10

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 11

Subtract eight and nine from twenty-five.

Solution!
25 - 8 - 9 = 8.

#### Question No 12

Divide 672 by 12.

Solution!
672 / 12 = 56.

#### Question No 13

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 14

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

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

#### Question No 15

Add 2/5 of 90 to 5/6 of 78.

Solution!
(2/5) * 90 = 36! !(5/6) * 78 = 65! !36 + 65 = 101.

#### Question No 16

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 17

7/21 in lowest term is?

Solution!
7/21 = 1/3.

#### Question No 18

What is 5/9 of 270?

Solution!
(5/9) * 270 = 150.

#### Question No 19

What is the largest 4 digit number exactly divisible by 88?

Solution!
No answer description available for this question..

#### Question No 20

What is 45% of 300?

Solution!
45 * (300/100) = 135! !Quick way to find answer from options is! !50% of 300 is 150 so 45% of 300 should be less than 150! !So, it may be 149 or 135!149 is very close to 150 which is not possible! !Hence, 135 is correct answer..

#### Question No 21

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 22

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 23

What is average of 2 , 5 and 8?

Solution!
(2+5+8)/3 = 15/3 = 5.

#### Question No 24

If the sum of three consecutive whole numbers is 15, what is the largest of the three numbers?

Solution!
6+5+4 = 15.

#### Question No 25

What is 55% of 320?

Solution!
55 * (320 / 100) = 176! !Quick way to find answer from options is! !50% of 320 is 160 so answer should be greater than 160!Only one option is greater than 160 which is 176..

#### Question No 26

Deduct 7.3 from 34.2.

Solution!
34.2 - 7.3 = 26.9.

#### Question No 27

Multiply 86 by 9 and add to 13 multiplied by 6.

Solution!
86 * 9 = 774! !13 * 6 = 78! !774 + 78 = 852.

#### Question No 28

Multiply 15 by 6 and subtract 29.

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

#### Question No 29

Multiply 6.85 by 7.

Solution!
6.85 * 7 = 47.95.

#### Question No 30

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 31

What must be added to each numerator and denominator of 13/29 so that it becomes 1/2

Solution!
(13+3)/(29+3) = 1/2.

#### Question No 32

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 33

A bus covers a distance of 60 Km in 1.5 hr. How far it would travel in half hour.

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.

How much is 25% of $200? #### Select the correct answer Solution! 25 * (200/100) =$50! !Or!200 / 4 = $50. #### Question No 35 If A/B is 2/3 and difference between values of A and B is 10 What is value of B? #### Select the correct answer Solution! If B is 30, A is 20 so difference of 10 is maintained.. #### Question No 36 What is average of 2, 5 , 6 , 9 and 18? #### Select the correct answer Solution! (2+5+6+9+18)/5 = 40/5 = 8. #### Question No 37 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 38 Deduct 865 from 1063. #### Select the correct answer Solution! 1063 - 865 = 198. #### Question No 39 15 men were hired to plough a piece of land in 10 days. How many more men will be required to do the same job in 3 days? #### Select the correct answer Solution! x/15 = 10/3! !x = (10/3)*15! x = 50.! !So more number of men required = 50-15 = 35. #### Question No 40 A number is thrift if it is a multiple of 2 or 3. How many thrift numbers are there between 0 and 15? #### Select the correct answer Solution! Thrift numbers between 0 and 15 are following! !2,3,4,6,8,9,10,12,14. #### Question No 41 What is average of 12 , 15 and 18? #### Select the correct answer Solution! (12+15+18)/3 = 45/3 = 15. #### Question No 42 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 43 Multiply 72 by 15. #### Select the correct answer Solution! 72 * 15 = 1080! !Other way is! !72 * 10 = 720!and!720 / 2 = 360! !720 + 360 = 1080. #### Question No 44 What is the average of 8, 13, 25, 43, and 11? #### Select the correct answer Solution! (8+13+25+43+11)/5 = 100/5!= 20. #### Question No 45 Which one of the following is a prime number ? #### Select the correct answer Solution! 307 is only number which is divisible by 1 and by itself only.. #### Question No 46 What is 10 less 5/9 of 117? #### Select the correct answer Solution! (5/9) * 117 = 65! !65 - 10 = 55. #### Question No 47 What is 3/4 of 92 plus 13? #### Select the correct answer Solution! (3/4) * 92 = 69! !69 + 13 = 82. #### Question No 48 Subtract 369 from 1250. #### Select the correct answer Solution! 1250 - 369 = 881. #### Question No 49 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 50 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 51 2664/12/6=? #### Select the correct answer Solution! (2664/12) * (1/6) = 37. #### Question No 52 What is 5/8 of 240? #### Select the correct answer Solution! (5/8) * 240 = 150. #### Question No 53 What is smallest integer greater than 1 that leaves remainder 1 when it is divided by 5 or 8? #### Select the correct answer 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 54 Multiply 694 by 11. #### Select the correct answer Solution! 694 * 11 = 7634! !Quick way to find answer from options is! !694 * 10 = 6940! !So answer must be greater than 6940 and only one option is greater than 6940 which is 7634.. #### Question No 55 What is average of 3, 5 and 10? #### Select the correct answer Solution! (3+5+10)/3 = 18/3 = 6. #### Question No 56 Add 32 + 8 + 18 + 25. #### Select the correct answer Solution! 32 + 8 = 40! !40 + 18 = 58! !58 + 25 = 83. #### Question No 57 In a Zoo deers and lions are in ratio of 5/2. If there are 20 deers how many lion are there? #### Select the correct answer Solution! 20 is 4 times of 5 So in this way 4 times of 2 will be 8.. #### Question No 58 Add 5683 to 1729 and divide by 2. #### Select the correct answer Solution! 5683 + 1729 = 7412! !7412 / 2 = 3706. #### Question No 59 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 60 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 61 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 62 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 63 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? #### Select the correct answer 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. #### Question No 64 What is 5.9 + 6.8 + 7.34? #### Select the correct answer Solution! 6.8 + 7.34 = 14.14! !14.14 + 5.9 = 20.04. #### Question No 65 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 66 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 67 The average of 20 numbers is 0, How many of them may be greater than zero,at the most? #### Select the correct answer Solution! Maximum Numbers that can be greater than 0 to maintain total average greater than 0 are 19.. #### Question No 68 John can read 8 pages of a book in 7 minutes, how long will he take to read 40 pages? #### Select the correct answer Solution! 40/8 = 5! !As pages are increased 5 times. So minutes will also increase 5 time.! !7 * 5 = 35. #### Question No 69 If the number 5r2 is divisible by 6, then r = ? #### Select the correct answer Solution! 572 is completely divisible by 6.. #### Question No 70 What is 15 multiplied by 11? #### Select the correct answer Solution! 15 * 11 = 165. #### Question No 71 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 72 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 73 Multiply 7 by 12 and divide by 6. #### Select the correct answer Solution! 7 * 12 = 84! !84 / 6 = 14. #### Question No 74 If a amount of$120 is divided among A and B in the ratio 1/2 then A will get?

Solution!
A will get half amount which B got.So if A's amount is 40, B's amount will be 80 (double of A's amount)..

#### Question No 75

Divide 56 by 8 and add 17.

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

#### Question No 76

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 77

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 78

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 79

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?

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 80

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

Solution!
100 - 64 = 36%.

#### Question No 81

2+2*2?

Solution!
2 + (2 * 2) = 6! !Multiplication is performed first and subtraction afterwards.! !Sequence of solving operators is!/!*!+!-.

#### Question No 82

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?

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 83

Ali can type at a speed of 25 words per minute. How many words he can type in one hour?

Solution!
Typed words in 1 minute = 25!Typed words in 60 minutes = 60 * 25 = 1500.

#### Question No 84

If one third of the staff at school are teachers find the ratio between teachers to non-teachers.

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 85

A cycle costs $170.Jane saves$50 each week.How many weeks will it be before she can buy it?

Solution!
170 / 50 = 3.4!But 3.4 is not in options so nearest Option is 4.

#### Question No 86

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?

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 87

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 88

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 89

What is the sum of first 5 positive even integers?

Solution!
2+4+6+8+10 = 30.

#### Question No 90

If n is even, Which of the following cannot be odd? (1) n+3 (2) 3n (3) n^2 - 1

Solution!
3n and n^2 - 1 will always odd so in case of 3n answers will be even..

#### Question No 91

Divide 52 by 4 and add 17 multiplied by 3.

Solution!
52 / 4 = 13! !17 * 3 = 51! !13 + 51 = 64.

#### 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

What is 3206 divided by 7?

Solution!
3206 / 7 = 458! !No need to perform complete devision first digit comes 4 after devision and there is only one option in which first digit is 4..

#### Question No 94

If n is not equal to 0, Which of the following must be greater than n? (1) 2n (2) n^2 (3) 2-n

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 95

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?

Solution!
Shadow of 40m pole = 30m! !Shadow of 1m pole = 30/40m! !Shadow of 200m plaza = (30/40)*200 = 150m.

#### Question No 96

Which of the following fractions is closed to 0.5?

Solution!
15/30 = 1/2!1/2 = 0.5.

378 * ? = 252

Solution!
252 / 378 = 2/3.

#### Question No 98

100/101 = ?

Solution!
100/101 = 0.990099.

#### Question No 99

Sum of three consecutive odd integers is 51. Which of the following is the smallest of the three?

Solution!
19+17+15 = 51.

#### Question No 100

What is 9 multiplied by 8?