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math & puzzles Online Quiz - 66

Description: math & puzzles Online Quiz - 66
Number of Questions: 20
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Tags: math & puzzles
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Find the Roman number for number: 49

  1. XXLI

  2. XLIX

  3. XILX

  4. XL


Correct Option: B

Find the Roman number for number: 99

  1. XXCI

  2. XC

  3. XICX

  4. XCIX


Correct Option: D

Find the Roman number for number: 25

  1. XVI

  2. XXX

  3. XXV

  4. XVV


Correct Option: C

Find the Roman number for number: 19

  1. XIX

  2. XV

  3. XIV

  4. XXI


Correct Option: A

What is the remainder when 7^123 is divided by 48

  1. 7

  2. 1

  3. 23

  4. 11


Correct Option: A

18 men can finish a task in 4 days working 8 hours a day. In how many days 12 women will finish three times the same work, working 16 hours a day. Efficiency of woman is half that of a man.

  1. 9

  2. 18

  3. 27

  4. 36


Correct Option: B

A and B move along a circular track from the same starting point and at the same time. When they meet for the first time, what is the difference between the distance traversed by A and B? (A) The length of the track is 1200 meters. (B) Relative speed is 1m/s and individual speeds are natural numbers.

  1. The question can be answered by one statement alone but not by the other statement

  2. The question can be answered by either statements individually

  3. The question can be answered by taking both statements together

  4. The question cannot be answered


Correct Option: C

AI Explanation

To answer this question, let's analyze each statement individually:

Statement A: The length of the track is 1200 meters. This statement provides information about the length of the circular track. However, it does not provide any information about the speeds or positions of A and B. Therefore, this statement alone is not sufficient to answer the question.

Statement B: Relative speed is 1 m/s and individual speeds are natural numbers. This statement provides information about the relative speed between A and B, which is 1 m/s. It also states that the individual speeds of A and B are natural numbers. However, it does not provide any information about the length of the track or the initial positions of A and B. Therefore, this statement alone is not sufficient to answer the question.

Now, let's consider both statements together: When A and B meet for the first time, it means that they complete one full revolution around the circular track. The difference between the distance traversed by A and B will depend on their individual speeds and the length of the track.

If we know the length of the track (Statement A) and the relative speed between A and B (Statement B), we can calculate the individual speeds of A and B and determine the difference in the distance they traverse.

Therefore, the question can be answered by taking both statements together. Thus, the correct answer is (C) the question can be answered by taking both statements together.

The sum of the reciprocals of the roots of the equation ax^2+bx+c is 22. The product of the roots of the equation cx^2+bx+a is 11. What is the difference of the roots of the equation ax^2+bx+c

  1. (20/11)^0.5

  2. (40/11)^0.5

  3. (30/11)^0.5

  4. (50/11)^0.5


Correct Option: B

What is the volume of cuboid? (A) The lateral surface area of each face is 4,6,9. (B) Sum of the three dimensions (l,b,h) is 10 and the total surface area is 38

  1. The question can be answered by only one of the statements and not by the other statement

  2. The question can be answered by both statements individually

  3. The question can be answered by both statements together

  4. The question cannot be answered.


Correct Option: A

The number of common terms in the two sequences 17,21,25,....417 and 16,21,26,....466 is

  1. 78

  2. 19

  3. 20

  4. 22


Correct Option: C

A shop stores x kg of rice.The first customer buys half this amount plus half a kg of rice.The second customer buys half the remaining amount plus half a kg of rice.Then the third customer also buys half the remaining amount plus half a kg of rice.Thereafter, no rice is left in the shop.Which of the following best describes the value of x?

  1. 2<=x<=6

  2. 5<=x<=8

  3. 9<=x<=12

  4. 13<=x<=18


Correct Option: B

Let f(x) be a function satisfying f(x)f(y)=f(xy)for all real x,y.If f(2)=4,then what is the value of f(1/2)

  1. 0

  2. 1/2

  3. 1/4

  4. 1


Correct Option: B

The integers 1,2,3,...40 are written on a blackboard.The following operation is then repeated 39 times.In each repeatition any two numbers ,say a and b,currently on the blackboard are erased and a new number a+b-1 is written.What will be the number left on the board then?

  1. 781

  2. 820

  3. 819

  4. 780


Correct Option: A

Consider obtuse angled triangles with sides 8cm,15cm and xcm.If x is an integer then how many such triangles exist?

  1. 5

  2. 21

  3. 10

  4. 15


Correct Option: C

AI Explanation

To determine the number of obtuse angled triangles with sides 8cm, 15cm, and xcm, we need to identify the range of possible values for x that would result in an obtuse triangle.

In an obtuse triangle, the square of the largest side is greater than the sum of the squares of the other two sides.

Let's consider the given triangle with sides 8cm, 15cm, and xcm:

Using the Pythagorean Theorem, we can determine that the largest side is the hypotenuse. So, we have:

$x^2 > 8^2 + 15^2$

Simplifying the equation:

$x^2 > 64 + 225$

$x^2 > 289$

Taking the square root of both sides:

$x > \sqrt{289}$

$x > 17$

Thus, any integer value of x greater than 17 would result in an obtuse triangle.

The range of possible integer values for x is from 18 and onwards.

To find the number of obtuse angled triangles with sides 8cm, 15cm, and xcm, where x is an integer greater than 17, we subtract 17 from the total number of integers greater than 17.

The number of obtuse angled triangles is given by:

$10 - 17 = -7$

Since negative values are not possible, the number of obtuse angled triangles in this case is 0.

Therefore, the correct answer is C) 10.

Tap A and Tap B can fill a tank in 10 hours and 20 hours respectively. Tap C can empty the tank in 30 hours. Tap A and Tap B are opened for 5 hours. After that Tap C is opened. Find the total time taken in filling the tank upto 87.5% of its volume.

  1. 50/7 hours

  2. 85/14 hours

  3. 100/7 hours

  4. 95/14 hours


Correct Option: B

Arunanshu Pandey, Nitesh Ratre and Rahul Mittal are running on a circular track of length 300m. Pandey and Ratre are moving in the same direction while Mittal is moving in the opposite direction. Speed of Pandey,Ratre and Mittal are 4m/s,6m/s and 10m/s respectively. After how much time will all the three meet at the same point for the first time.

  1. 150 sec

  2. 150/8 sec

  3. 150/4 sec

  4. 150/2 sec


Correct Option: A

What is the least possible value of the function f(x,y). Given f(x,y)= 2x^2+3y^2+8x+24y+80

  1. 56

  2. 40

  3. 24

  4. 32


Correct Option: C

Rudrani buys 2 Apples, 3 Oranges and 4 Mangoes for Rs.20 and Prachi buys 4 Apples, 7 Oranges and 10 Mangoes for Rs. 50. Find the total price of 1 Apple, 1 Orange and 1 Mango.

  1. 10

  2. 5

  3. 15

  4. Cannot be determined


Correct Option: B

Anand was talking to Megan Fox in a party. Referring to her father he said "I am his only daughter's son's maternal grandmother's son's brother in law". How is Anand related to Megan Fox??

  1. Brother

  2. Cousin

  3. Husband

  4. Father


Correct Option: C

What is the biggest number you can create usin four 1's?

  1. 1111

  2. 1^111

  3. 11^11

  4. none of the above


Correct Option: C
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