Mixed Math and Logic Puzzles

A collection of 20 mixed math problems and logic puzzles covering probability, geometry, word problems, and logical reasoning.

20 Questions Published

Questions

Question 1 Multiple Choice (Single Answer)

Which is the only positive whole number,less than 15 that can't be represented as the sum of the squares of any three integers.?

  1. 3
  2. 2
  3. 7
  4. 1
Question 2 Multiple Choice (Single Answer)

A man was asked how long was his hand. He said "it is 30cms more than half its length".How long was his hand?

  1. 45
  2. cant be determined
  3. 30
  4. 60
Question 3 Multiple Choice (Single Answer)

A fish wants to swim 25 km upstream. he swims 7 km in the day and floats back 5 km at night. how many days will it take for the fish to reach 25 km upstream?

  1. 10 days
  2. 12.5 days
  3. 9 days
  4. 7 days
Question 4 Multiple Choice (Single Answer)

in sholay Gabbar asks are o sambha sarkar kitana inam rakhi hai humbhe. sambha replies as its 50000. then gabbar offers if a iget arrested how much will u get after decucting 50 % of total as my share, 25% of the remaining amount after decution is given to kalia family. the money is devided in we three

  1. 25000
  2. 6250
  3. 18750
  4. 19000
  5. 18500
Question 5 Multiple Choice (Single Answer)

Mr. neharu and mahatma gandhi went to mountbatton to ask resolve a dispute between them. they say that Martyr bhagat singh gave them 1000 sheeps to keep. they decided to add a% of sheep at the beginning of every year. while they sell b% of the sheep every year. after five year they find total no. of sheep remaining the same. then

  1. a>b
  2. a=b
  3. a<b
  4. can't be determined
  5. a> or equal to b
Question 6 Multiple Choice (Single Answer)

one horse tells to hen that i am more profitable than you as i earn 1000 rs daily on racing. while you lay just one egg of rs 5. if the horse eats a forage of 200, his caretaker is given 500 per day and the rookie who rides on the horse is paid 298 while the hen consume just seed of rs 2. who is more profitable

  1. hen
  2. horse
  3. no one
  4. data is inconsitent
Question 7 Multiple Choice (Single Answer)

Two cards are drawn from a pack of 52 cards. What is the probability that either both are red both are king?

  1. 7/13
  2. 2/26
  3. 63/221
  4. 55/221
Question 8 Multiple Choice (Single Answer)

A box contains 20 bulbs, out of which 4 are defective. If we randomly choose 2 bulbs from this box, wht will be the probability that atleast 1 bulb is defective.

  1. 4/19
  2. 7/19
  3. 12/19
  4. 21/95
Question 9 Multiple Choice (Single Answer)

1 card is randomly taken from a pack of 52 cards. What is the probability that the card is either a ten or spade?

  1. 4/13
  2. 1/4
  3. 1/13
  4. 1/26
Question 10 Multiple Choice (Single Answer)

A bag contains 6 black and 8 white balls. 1 ball is drawn at random. What is the probability that it is a white ball?

  1. 3/4
  2. 4/7
  3. 1/8
  4. 3/7
Question 11 Multiple Choice (Single Answer)

A coin is tossed 3 times. What is the probability of getting atleast 1 head?

  1. 1/8
  2. 3/8
  3. 7/8
  4. 2/3
Question 12 Multiple Choice (Single Answer)

A, B, C, D, E and F are a group of friends from a club. There are two housewives, one lecturer, one architect, one accountant and one lawyer in the group. There are two married couples in the group. The lawyer is married to D, who is a housewife. No lady in the group is either an architect or an accountant. C, the accountant, is married to F who is a lecturer. A is married to D and E is not a housewife. What is Es profession?

  1. Lawyer
  2. Architect
  3. Lecturer
  4. Accountant
Question 13 Multiple Choice (Single Answer)

Find triangle If cos2A + cos2B + cos2C = 1 then ABC is a

  1. Right angle triangle
  2. Equilateral triangle
  3. All the angles are acute
  4. None of these
Question 14 Multiple Choice (Single Answer)

If one-third of one-fourth of a number is 15,then three-tenth of that number is

  1. 35
  2. 36
  3. 45
  4. 54
Question 15 Multiple Choice (Single Answer)

A fathers age today is thrice as that of his sons. After 5 years, it would be just 2.5 times. At the time of birth of his son, what must be the age of the father?

  1. 30yrs
  2. 25yrs
  3. 28yrs
  4. 35yrs
Question 16 Multiple Choice (Single Answer)

6 people A, B, C, D, E and F sit around a table for dinner. Since A does not like C, he doesnt sit either opposite or beside C.B and F always like to sit opposite each other. If A is beside F then who is are the two neighbours of B?

  1. D and C
  2. E and C
  3. D and E
  4. None of these
Question 17 Multiple Choice (Single Answer)

a car 2 meter long is being changed by a 3 meter limousine. Car is moving at a speed of 60 m/s while limousine is moving at 65m/s. how long will limousine to overtake car if limousine starts 45 meter behind car.

  1. 11 sec
  2. 10 sec
  3. 5 sec
  4. 15 sec
Question 18 Multiple Choice (Single Answer)

if rain drops from roof top every 2 second. if building height is 500 meter. what will be the distance between first drop and second drop when first drop hits the ground.(take g= 10)

  1. data is insufficient
  2. none of these
  3. 95 meter
  4. 20 meter
  5. 100 meter
Question 19 Multiple Choice (Single Answer)

A typical indina household budget problem. Pandit din dayal has an annual income of 3lacs in hand(after all deduction). if he has to go to hawaii trip at year end which will cost him 1 lacs. if he spend 5000 per month as rent 3000 at food and 2000 in others expenditure. how much he can spend on his girlfriend at weekend so that after hawaii trip with his girlfriend his account balance is 50000.(assume 50 weeks in year)

  1. 400
  2. 650
  3. 1000
  4. 2000
  5. 600
Question 20 Multiple Choice (Single Answer)

At the end of a banquet 10 people shake hands with each other. How many handshakes will there be in total?

  1. 100
  2. 45
  3. 50
  4. 20

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Probability (1860 questions)