Math IQ Puzzles Logic Questions With Answers

Mathematical Logic Puzzles MCQ's With Online Quiz tests. All logic questions with Answers for the students to the solutions of the maths puzzles with answers. All Mathematical puzzles of math riddles and Math mind puzzles logic problems.

Quantitative Reasoning Math MCQ's Quiz Solutions

Logical Mathematics Important MCQ's Solutions



1. Which point satisfies the linear quadratic system y = x + 3 and y = 5 - x² ?

(-1, 2)

(2 , 1)

(-2, 1) (Answer)

(4 , -1)



2. Find the sum of the exterior angles of a 15 sided polygon ?

2340

24

360 (Answer)

156



3. Soda is sold in aluminum cans that measure 6 inches in height and 2 inches in diameter. How many cubic inches of soda are contained in a full can ?(Round answer to the nearest tenth of a cubic inch)

24.0

75.4

18.8 (Answer)

12.0



4. Which shape has six sides ?

Hexagon (Answer)

Heptagon

Pentagon

Octagon



5. Find the midpoint of the segment joining the points (4, -2) and (-8, 6) ?

(6, 4)

(2 ,2)

(-6, -4)

(-2 , 2) (Answer)



6. What is the slope of the passing through the points (4,6) and (-1, -2) ?

4/3

3/4

8/5 (Answer)

5/8



7. How many sides does a polygon have if sum of its interior angles is 720º ?

7

6 (Answer)

5

8



8. Top soil is sold by the cubic yard. to the nearest cubic yard, how much top soil is needed to create a flower bed with soil 4 feet wide by 25 feet long by 6 inches deep ?

27

50

6

2 (Answer)



9. The points (-4, -2) lies on a circle. What is the length of the radius of this circle if the center is located at (-8. -10) ?

√48

√288

√80 (Answer)

√108



10. If two place are perpendicular to the same line ?

None of the above

They are perpendicular

They intersect but are not perpendicular

They are parallel (Answer)



11. What is the definition of a polygon ?

A closed figure with no openings

Has 3 or more straight sides

None of the above

A 2-dimensional shape

All the definitions are  (Answer) (Answer)



12. Find the volume to the nearest cubic inch, of a cone whose radius is 12 inches and whose height is 15 inches ?

565

188

2262 (Answer)

2827



13. What is a polygon called if the sum of its interior angles equals 1440º ?

Hexagon

Dodecagon

Decagon (Answer)

Octagon



14. Find the measure of each exterior angle of a regular hexagon ?

60 (Answer)

90

45º

72



15. Each interior angle of a regular polygon measures 162º. How many sides does the polygon have ?

18

Cannot be determined

16

20 (Answer)



16. Find the slop of line perpendicular to the line whose equation is 2y + 6x = 24 ?

1/3 (Answer)

-1/6

-3

6



17. The dry erase board or chalk board in your room is what shape ?

A regular octagon

A parallelogram (Answer)

A decagon

A dodecagon



18. Find the number of degrees in each interior angle of a dodecagon ?

144

Cannot be determined (Answer)

135

150



19. Find the distance between the points (3, -2) and (6, 4) ?

5√3

√85

3√5 (Answer)

√79



20. How many lines of symmetry does a triangle have ?

3 (Answer)

2

4

1



21. A, B, C subscribe Rs. 47000 for a business. If A subscribes Rs. 7000 than B and B Rs. 5000 more than C then out of a total profit of Rs. 9400, B receives ?

Rs. 2000

Rs. 1737.90

Rs. 4400

Rs. 3000 (Answer)



22. The least perfect square number which is divisible by 3, 4, 5, 6, and 8 is ?

2500

1600

3600 (Answer)

900



23. A boat takes 4 hours for travelling downstream from point A to point B and coming back to point A upstream. If the velocity of the stream is 2 Kmph and the speed of the boat in still water is 4 kmph, whit is the distance between A and B ?

6 km (Answer)

8 km

4 km

9 km



24. What must be added to each term of the ratio 49 : 68 so that it become 3 :4 ?

8 (Answer)

3

9

5



25. A man covered a-distance of 2000 km in 18 hours partly by bus at 72 kmph and partly by train at 160 kmph. The distance covered by bus is ?

720 km (Answer)

860 km

640 km

1280 km



26. A man has Rs. 480 in the denominations of one rupee note , five rupee notes and ten rupee notes. The numbers of notes are equal. What is the total number of notes ?

90 (Answer)

60

45

75



27. A does half as much work as B and C does half as much work as A and B together. If C alone can finish the work in 12 days, than together all will finish the work in ?

7 Days

6 Days

5 Days

4 Days (Answer)



28. In an organization, 40% of the employes are matriculate, 50% of the remaining are graduates and, remaining 180 are post - graduates. How many employees are graduates ?

240

180 (Answer)

360

300



29. If cost of oil is increased by 25% then a house should decrease by what percent her consumption of oil so that it does not affect her expenditure in this commodity ?

By 20%

By 25%

By 20% (Answer)

By 16%



30. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders, is ?

78 (Answer)

70

56

80



31. The smallest whole number which is divisible by 3 and also by the next two greater prime numbers is ?

15 (Answer)

105

21

60



32. The ratio of the areas of the circle and circumcircle of an equilaterat triangle is ?

1 : 4

1 : 9 (Answer)

1 : 2

1 : 3



33. Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket ?

8 mm. 5 sec

8 mm. 25 sec

7 mm. 15 sec

7 mm. 45 sec (Answer)



34. A train -110 m long passe a man, running at 6 kmph in the direction opposite to that of train in 6 seconds. The speed of the train is ?

54 Km/Hr

60 Km/Hr (Answer)

72 Km/Hr

66 Km/Hr



35. If the height of the cone is doubled then its volume is increased by ?

300%

100% (Answer)

400%

200%



36. Ratio of Wahab and Asif's income is 7 : 17 and ratio of Asif and Tariq's income is 7 : 17. If Wahab's income is Rs. 490 then what is the income of Tariq ?

490

1190

2790

2890 (Answer)



37. When simplified, the product (2 - 1/2) (2 - 3/5) (2 - 5/7) ........(2 - 997/999) is equal to ?

None of these

1001/999

1001/3 (Answer)

5/999



38. A, B and C enter into a partnership with a capital in which A's contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gest Rs. 500 and B gest Rs. 300, then C's capital is ?

Rs. 9000

Rs. 5000

Rs. 6000

Rs. 4000 (Answer)



39. Rs. 1980 are divided among A. B. C so that of A 's part, one- third of B's part and one-sixth of C 's part are equal. Then, B 's part is ?

Rs. 360

Rs. 1080

Rs. 660

Rs. 540 (Answer)



40. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price of the book is ?

50 : 61

45 : 56 (Answer)

55 : 69

99 : 125


41. Two men starting from the same place walk at the rate of 4 kmph and 4.5 kmph respectively what time will they take to be 8.5 km apart, if they walk in the same direction ?

12 Hrs

14 Hrs : 15 Mi

17 Hrs (Answer)

12 Hrs 55 Mm



42. If income of X is more than 20% of Y's income, then income of Y is what per cent lesser than X's income ?

20%

33 1/2%

16.2/3% (Answer)

25%




43. If 8 tan x = 15, then value, of (sin x - cos x) is ?

1/17

8/17

17/7

7/17 (Answer)



44. In the given equation 5x + 3y - 19 = 0, then find the value of slope ?

-5/4

+5/3

-5/3

-3/5 (Answer)



45. A merchant marks his goads at Rs. 300 and allows a discount of 25%. If he still gains 12.5 % then the cost of article is ?

Rs. 200 (Answer)

Rs. 220

Rs. 260

Rs. 240



46. Find the difference in compound interest and simple interest of Rs. 400 at the rate of 5% per annum for 2 years ?

Rs. 4

Rs. 3

Rs. 1 (Answer)

Rs. 2




47. 55% of a sum of money is Rs. 1.1. The sum of money is ?

Rs. 20

Rs. 11

Rs. 110

Rs. 2 (Answer)



48. If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The  (Answer) time for the train to completes its journey is ?

13 min

19 min

21 min (Answer)

15 min




49. If four examiners can examine a certain number of answer books in 8 days by working 5 hrs a day, for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 28 days ?

7½ Hours

8 Hours

6 Hours (Answer)

9 Hours



50. A train running at the speed of 60 kmph crosses a pole in 15 seconds. The length of the train is ?

120 m

250 m (Answer)

200 m

150 m




51. If (x - 2) is a factor of x² + 3qx - 2q then the value of q is ?

2

-2

-1 (Answer)

1



52. In the mixture of 20 kg milk and water, 15% is water. If 5 liters water is added to it, then what will be perecentage of milk in the mixture ?

15%

32% (Answer)

20%

10%



53. A dishonest dealer sells his goods at the cost price and still earns a profit of 25% by under weighing. What weight does he use for a kg ?

850 gms

800 gms (Answer)

750 gms

825 gms




54. Find the distance between the dots (1,2) and (3,5) ?

6

15

24

13 (Answer)



55. Which of the following has the lowest value ?

7/9

11/13

5/6

3/4 (Answer)



56. A man sold goods at a profit of 20%. If he buys it for 20% less and sells it for Rs. 5 less, then he gets 25% profit. Find the cost price of the goods ?

Rs. 40

Rs. 25 (Answer)

Rs. 60

Rs. 30




57. A man sold two horses for Rs. 6000 each, in this transaction he gets 10% profit in first horse and 10% loss in second horse. What does he get in the whole transaction ?

1% loss (Answer)

0.1% loss

No profit no loss

1% profit




58. If log 2 = 7, then the value of log 80 ?

16

18

22 (Answer)

14



59. In what time at the rate of 5% per annum from simple interest any principal will be increased by 40% ?

6 Years

5 Years

4 Years

8 Years (Answer)



60. The value of [log 3/5 + log 5/36 + log12] is equal to ?

log 0 (Answer)

log 3

log 5

log 2



71. When 1/4 of a number is subtracted from 1/3 of the same number, the remainder obtained is 12. The number is ?

72

144 (Answer)

120

63



72. 5005 - 5000 / 10.00 = ----- ?

50

0.5

5000

4505 (Answer)



73. In a certain college the number of girls is twice the number of boys. 1/5th of the girls and 1/8th of the boys took part in a social camp. What part of the total number of the students took part in the camp ?

1/24

7/80

7/40 (Answer)

2/12



74. What fraction must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the three fraction ?

1/6 (Answer)

1/3

1/4

1/2



75. There are four prime numbers written in a ascending order. The product of the first three is 385 and that of the last three is 1001. Find the first number ?

11

5 (Answer)

7

17



76. 16 - 6 * 2 + 3
_________ = ----- ?
23 - 3 * 2

23/40

7/17 (Answer)

14/23

2/17



77. Four children A, B , C and D divide a bag of sweets. A takes 1/3 of them, B 2/3th of the remainder and the rest is equally shared between C and D. What fraction of the sweets did C or D get ?

1/5 (Answer)

1/6

1/17

1/4



78. (272 - 32) (124 + 176)
_______________ = ----- ?
17 * 15 - 15

300 (Answer)

0

2.25

None of these



79. The number of ways, in which 8064 can be resolved as the product of two factors, is ?

10

48

16

24 (Answer)



80. If 2/3 part of a number is 96, what is the value of 3/4 part of the same number ?

108 (Answer)

48

192

72



81. A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was ?

24

16

12

8 (Answer)



82. A boy was asked to multiply a given number by 8/17. Instead, he divided the given number by 8/17 and got the 225 more than what he should have got if he had multiplied the number by 8/17. The given number was ?

8

17

64

136 (Answer)



83. Which of the following fractions is less than 7/8 and greater 1/3 ?

23/24

17/24 (Answer)

11/12

1/4



84. In an examination a student was asked to find (3/14) of a certain number. By mistake he found (3/4) of it. His answer was 150 more than the  (Answer) answer. The given number is ?

240

290

180

280 (Answer)



85. 46 + 18 * 6 + 4
__________ = ----- ?
12 * 12 + 8 * 12

20/57

113/120

113/912

79/120 (Answer)



86. A boy was asked to multiply a certain number by 25. He multiplied it by 52 and got his answer more than the  (Answer) one by 324. The number to be multiplied was ?

25

15

12 (Answer)

32



87. A man completes 2/15 of his journey by aeroplane, 2/5 by train and rest by taxi. What part of his journey does he complete by taxi ?

None of these

9/15

7/15 (Answer)

8/15



88. How many pieces of 0.85 metres can be cut from a rod 42.5 metres long ?

40

30

None of these (Answer)

60



89. 3/8 is what part of 1/12 = ----- ?

4/3

1/12

None of these (Answer)

3/7



90. What is the smallest number with which 1800 must be multiplied to make it a perfect cube ?

5

18

15 (Answer)

12



91. 31/10 * 3/10 + 7/5 + 20 = ----- ?

107/200

100

0

1 (Answer)



92. How many multiples of 9 can found which are than 9999 and are perfect cubes ?

5

6

8

7 (Answer)



93. What is the difference between the largest and the smallest fractions 5/8, 21/35, 9/16 and 6/7 ?

11/37

9/35

13/41

33/112 (Answer)



94. The simplification of 0.8 * 0.8 * 0.8 - 0.5 * 0.5 * 0.5
______________________ gives = ----- ?
0.8 * 0.8 + 0.8 * 0.5 + 0.5 * 0.5

0.3 (Answer)

0.8

0.4

0.13



95. In an examination a student scores 4 marks for every  (Answer) answer and loses 1 marks for every wrong answer. If he attempts all 75 questions and secures 125, the number of question he attempts  (Answer)ly, is ?

46

40 (Answer)

42

35



91. Determine the least number by which 72 is multiplied to produce a multiple of 112 = -----?

6

14 (Answer)

15

12



92. What is the sum of all prime numbers from 60 to 80 = -----?

361

349

341

351 (Answer)




93. 9999 + 8888 + 777 + ? = 19700 -----?

36 (Answer)

16

64

26



94. Which of the following numbers is divisible by 8 = -----?

106598304 (Answer)

98016542



95. 60 ? 6 * 111 = 666666 = -----?

6

0 (Answer)

1

2



96. How many numbers up to 100 are divisible by 7 = -----?

93

100

14 (Answer)

107



97. How many numbers up to 200 are divisible 2 and 3 both = -----?

35

27

29

33 (Answer)



98. How many numbers up to 50 are divisible by 23 = -----?

21 (Answer)

19

23

27



99. Which of the following numbers is divisible by 4 = -----?

67920594

618703572 (Answer)



100. 7372 * 7372 + 7372 * 628 = -----?

None of these

58967000

5897600

58976000 (Answer)



101. What is the number just more than 5000 which is exactly divisible by 73 = -----?

5037 (Answer)

5001

5027

5009



102. What smallest number of six digits is divisible by 111 = -----?

1.10.011

1.00.011 (Answer)

1.11.111

None of these



103. What is the total number of prime numbers less than 70 ?

19 (Answer)

20

18

17



104. 1/4 of a number subtracted from 1/3 of the number gives 12. The number is = -----?

63

144 (Answer)

72

120




105. Which of the following numbers should be added to 11, 158 to make it exactly divisible by 77 ?

9

7 (Answer)

8

5




106. What least number must be subtracted from 13, 294 so that the remainder is exactly divisible by 97 = -----?

5 (Answer)

1

4

3



107. Which of the following numbers is divisible by 9 = -----?

19725462 (Answer)

36870521




108. 24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. The first part is = -----?

13 (Answer)

11

16

17



109. The product of two number is 120. The sum of their squares is 289. The sum of the two numbers is = -----?

None of these

169

20

23 (Answer)