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math & puzzles Online Quiz - 53

Description: math & puzzles Online Quiz - 53
Number of Questions: 20
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Tags: math & puzzles
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A car covers a certain distance at a speed of 90 km/hr while going and returns to the starting point at a speed of 60 km/hr. Find the average speed of the car for the whole journey?

  1. 70

  2. 68

  3. 72

  4. 74


Correct Option: C

The avg. of 11 results is 30, that of the first five is 25 and that of the last five is 28. Find the value of sixth number?

  1. 65

  2. 66

  3. 67

  4. 68


Correct Option: A

In 40 litres mixture of milk and water, the ratio of milk and water is 3:1 How much water should be added in the mixture so that the ratio of milk to water becomes 2:1?

  1. 2

  2. 3

  3. 4

  4. 5


Correct Option: D

Three partners A, B and C invest Rs 1600, Rs 1800 and Rs 2300 respectively in a business. How should they divide a profit of Rs 399?

  1. 116, 130, 153

  2. 112, 126, 161

  3. 110, 120, 169

  4. 113, 127, 159


Correct Option: B

AI Explanation

To determine how the profit should be divided among the partners, we need to calculate the ratio of each partner's investment to the total investment.

The total investment is the sum of the individual investments: Rs 1600 + Rs 1800 + Rs 2300 = Rs 5700.

Partner A's ratio of investment = Rs 1600 / Rs 5700 Partner B's ratio of investment = Rs 1800 / Rs 5700 Partner C's ratio of investment = Rs 2300 / Rs 5700

Now, we can calculate the profit for each partner by multiplying their respective ratios with the total profit of Rs 399.

Profit for Partner A = Partner A's ratio of investment * Total profit = (Rs 1600 / Rs 5700) * Rs 399 Profit for Partner B = Partner B's ratio of investment * Total profit = (Rs 1800 / Rs 5700) * Rs 399 Profit for Partner C = Partner C's ratio of investment * Total profit = (Rs 2300 / Rs 5700) * Rs 399

Simplifying these calculations will give us the share of profit for each partner.

Let's calculate the values for each option:

Option A) 116, 130, 153 Option B) 112, 126, 161 Option C) 110, 120, 169 Option D) 113, 127, 159

Calculating the values for each option:

Option A) (Rs 1600/ Rs 5700) * Rs 399 = Rs 111.79, (Rs 1800/ Rs 5700) * Rs 399 = Rs 126.32, (Rs 2300/ Rs 5700) * Rs 399 = Rs 160.88 Option B) (Rs 1600/ Rs 5700) * Rs 399 = Rs 112.28, (Rs 1800/ Rs 5700) * Rs 399 = Rs 126.76, (Rs 2300/ Rs 5700) * Rs 399 = Rs 161.96 Option C) (Rs 1600/ Rs 5700) * Rs 399 = Rs 111.40, (Rs 1800/ Rs 5700) * Rs 399 = Rs 120.00, (Rs 2300/ Rs 5700) * Rs 399 = Rs 169.60 Option D) (Rs 1600/ Rs 5700) * Rs 399 = Rs 112.65, (Rs 1800/ Rs 5700) * Rs 399 = Rs 127.06, (Rs 2300/ Rs 5700) * Rs 399 = Rs 159.29

Comparing the calculated values with the given options, we can see that Option B) 112, 126, 161 matches the calculated values.

Therefore, the correct answer is B) 112, 126, 161.

Anup can do a piece of work in 10 days and Jagdeesh can do the same work in 15 days. In how many days the work will be completed if both works together.

  1. 5

  2. 6

  3. 7

  4. 8


Correct Option: B

A motorcar does a journey in 10 hrs, the first half at 21 kmph and the second half at 24 kmph. Find the distance?

  1. 220

  2. 222

  3. 224

  4. 226


Correct Option: C

AI Explanation

To find the distance traveled by the motorcar, we can use the formula:

Distance = Speed x Time

Let's calculate the distance for each half of the journey:

First half of the journey: Speed = 21 km/h Time = 10/2 = 5 hours

Distance for the first half = Speed x Time = 21 km/h x 5 hours = 105 km

Second half of the journey: Speed = 24 km/h Time = 10/2 = 5 hours

Distance for the second half = Speed x Time = 24 km/h x 5 hours = 120 km

Total distance traveled by the motorcar = Distance for the first half + Distance for the second half = 105 km + 120 km = 225 km

Therefore, the correct answer is C) 224.

A = {1,2,3,4}, B = {3,5,6,7}, C = {1,3,7,8} Find: (A U B) n C

  1. {1,3,7}

  2. {2,4,6}

  3. {1,2,3,4,6,7}

  4. {8}


Correct Option: A

A = {a, b, c, e, g} and B = {a, d, e} Find: A U B

  1. {a,c,d,g}

  2. {a,e}

  3. {a}

  4. {a,b,c,d,e,g}


Correct Option: D

A = {1,2,3,4}, B = {2,4,6,8}, C = {3,4,5,6} Find: (A U B) n C

  1. {1,3,6,8}

  2. {3,4,6}

  3. {2,4,6,8}

  4. {1,5,6,8}


Correct Option: B

A = {1,2,3,4}, B = {2,4,6,8}, C = {3,4,5,6} Find: (A n B) U C

  1. {1,3,4,6,8}

  2. {2,4,5,6,8}

  3. {2,3,4,5,6}

  4. {1,4,5,6,8}


Correct Option: C

A= {2,5,9}, B= { } Find: A n B

  1. { }

  2. {2,5,9}

  3. {5}

  4. {9}


Correct Option: A

Alphabet

  1. R

  2. S

  3. U

  4. None of these


Correct Option: C

Alphabet

  1. N

  2. O

  3. M

  4. P


Correct Option: A

Alphabet

  1. G

  2. H

  3. W

  4. None of these


Correct Option: D

8+7=

  1. 20/5

  2. 8*2

  3. 16-2

  4. 45/3


Correct Option: D

8+7*2=

  1. 3+7/2

  2. 4*8

  3. 15*6/3

  4. None of these


Correct Option: D

T = 1 G = 2 K = 3 I = 4 N = 5 H = 6

  1. 3 4 5 1 6 2

  2. 3 4 5 1 2 6

  3. 3 5 4 2 6 1

  4. None of these


Correct Option: C

G = 1 A = 2 R = 3 I = 4 T = 5 S = 6

  1. 2 4 6 1 5 3

  2. 1 3 2 5 4 6

  3. 1 2 3 4 5 6

  4. None of these


Correct Option: B

Choose the Word that can be formed from the letter Measurement

  1. ASSURE

  2. SUMMIT

  3. METER

  4. EARTH


Correct Option: C

Alphabet

  1. Q

  2. P

  3. N

  4. S


Correct Option: B
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