Recent puzzles under tag mathematical

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A right triangle has a semicircles with radii of 3 and 4 on its legs, as shown. The semicircles intersect along.........

posted Dec 5, 2023 by Rajni

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In a singles tennis tournament, there are 100 players. Each match pairs two players; the winner advances..........

posted Dec 4, 2023 by Ritika

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Calculate the number of ordered triples (A1, A2, A3) such that: A1 ∪ A2 ∪ A3 = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A1 ∩....

posted Dec 4, 2023 by Vikram Luthra

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What’s the answer?

posted Dec 4, 2023 by Prithvi

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A large water tank has two inlet pipes (a large one and a small one) and one outlet pipe. It takes 3 hours to fill......

posted Dec 1, 2023 by Upma

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Replace the question mark in the picture below.

posted Nov 30, 2023 by Pankaj Deshmukh

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A man has 20 coins, consisting of dimes (10 cents) and quarters (25 cents). If the dimes were quarters............

posted Nov 27, 2023 by Karan Joglekar

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If ABCDE times 4 equals EDCBA, and each letter is a different digit from 0 to 9, what is the value of each letter?

posted Nov 27, 2023 by Aastha Joshi

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Next Number in the Series, 5, 16, 49, 104, ?

posted Nov 27, 2023 by Samardeep Acharya

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Two circles intersect a rectangle, dividing the top and bottom sides into 3 segments. What is the length..........

posted Nov 24, 2023 by Aarati Mahajan

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In the diagram below, there are 4 squares and 3 areas are known. What is the radius of the circle?

posted Nov 24, 2023 by Simranjeet Singh

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Solve for positive real values of x such that: xx8 = 8

posted Nov 24, 2023 by Nikita Sehgal

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Solve for all real values of x such that |x – 1| – |x + 1| + x < 0

posted Nov 24, 2023 by Pushpak Chauhan

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Solve for real values of x such that: √(5|x| + 8) = √(x2 – 16)

posted Nov 23, 2023 by Maninder Bath

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A code has 4 digits and you know this information. 9285 one number is correct but in the wrong place 1937 two.........

posted Nov 23, 2023 by Mishthy Mukherjee

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Two logicians (A and B) each pick a whole number from 1 to 30 inclusive. The following conversation happens:.........

posted Nov 23, 2023 by Rahul Vaidya

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What is the probability the distance d between the points is larger than l?

posted Nov 20, 2023 by Anil Chaurasiya

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ABCD is a square with area 625 square meters and AEFD is a rhombus with area 500 square meters. What is the area........

posted Nov 20, 2023 by Anshika Utadi

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Three squares are shown. The large square has a side length of 60, and the two smaller squares are...........

posted Nov 20, 2023 by Basabdatta Mukherjee

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A piece of paper measuring 8 by 6 is folded several times, as shown. What is the area of the final shape?

posted Nov 20, 2023 by Deepak Chitragar

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Solve for all real values of x such that 9x + 12x = 16x

posted Nov 15, 2023 by Riteshwar

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Solve for all real values of x such that (8x – 2x)/(6x – 3x) = 2

posted Nov 15, 2023 by Kapil Kapoor

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A famous swimmer can swim downstream in a lake in exactly 40 minutes with the lake current. He can swim upstream........

posted Nov 8, 2023 by Harshita Dhaliwal

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You and your two friends are working in a multinational company. How can you three find out the average salary........

posted Nov 7, 2023 by Upma

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If each of the 3 semicircles below has an area equal to 72, and is the midpoint of , what is the area of the shaded.....

posted Nov 6, 2023 by Ujjwal Mehra

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A regular hexagon with side length 2 has semicircles constructed in its interior of each side. What is the shaded.......

posted Nov 6, 2023 by Sandeep Bedi

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A square has a side length of 7. On each corner, a quarter circle with radius 3 is constructed with the corner........

posted Nov 6, 2023 by Pankaj Deshmukh

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Suppose x + 1/x = √3. Then what is the value of x100 + 1/x100 = ?

posted Nov 2, 2023 by Sidharth Malhotra

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Suppose x + 1/x = 5 and x > 0. Then what is the value of √x + 1/√x = ?

posted Nov 2, 2023 by Amarvansh

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Five teams were competing in cricket where they faced each other exactly once. After the tournament, the following......

posted Oct 30, 2023 by Karan Joglekar

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Can you complete the sequence? 192, 021, 222, 324, 252, 627, 2__, 9__?

posted Oct 30, 2023 by Samardeep Acharya

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Point P is selected uniformly at random in the interior of square ABCD. What is the probability that angle APD..........

posted Oct 26, 2023 by Mishthy Mukherjee

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Three circles of equal size are arranged in a triangle to be pairwise tangent. The vertical distance spanned............

posted Oct 26, 2023 by Yogeshwar Thakur

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The diagram shows a sphere with center O that contains a cone whose diameter AB is equal to its height CM.........

posted Oct 26, 2023 by Yogeshwar Thakur

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The roots of 2x2 – x + k = 0 are sin θ and cos θ. What is the value of k?

posted Oct 25, 2023 by Prachi Sharma

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Evaluate below equation.

posted Oct 25, 2023 by Swati Arora

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Which number is larger and why?

posted Oct 25, 2023 by Aman

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How can you add eight 6s together so that the total adds up to 750?

posted Oct 18, 2023 by Atif

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If you take my son’s age and multiply it by one and a half times his age you get 24. How old is my son?

posted Oct 17, 2023 by Basabdatta Mukherjee

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A huge bag of garlic bulbs weighs 294 lbs divided by 1/6th of its weight. How much does the bag of garlic weigh?

posted Oct 16, 2023 by Anamika

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How can you add eight 4s together so that the total adds up to 500?

posted Oct 13, 2023 by Ritika

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What’s the area of the rectangle marked with a question mark in the figure below?

posted Oct 13, 2023 by Vikram Luthra

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Let P(x) be a 4th degree (quartic) polynomial with real coefficients. For all real values of x, the polynomial..........

posted Oct 13, 2023 by Prithvi

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Rectangle ABCD is made up of 5 equal rectangles, as shown. Point E is on side CD, and AD = 10. What is the area.........

posted Oct 13, 2023 by Varun Kumar

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If you multiply this number by any other number, the answer will always be the same. What number is this?

posted Oct 12, 2023 by Rahul Chandel

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Maria went to the bread store to buy a loaf of bread for dinner. She had 2 quarters, 4 dimes, 3 nickels and 2 pennies...

posted Oct 12, 2023 by Ankur Athari

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Jeff has $28.75. He purchased three cookies that cost $1.50 each, five newspapers that each cost $0.50, five flowers....

posted Oct 12, 2023 by Upma

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What number divided by 4 is the same as that number minus 4?

posted Oct 12, 2023 by Varuna Magar

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A number ABCD times 4 equals DCBA. Each letter is a different digit from 0 to 9. What is the value of each letter?

posted Oct 9, 2023 by Saif Khanam

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Why does the second shape have an open block when the first shape does not?

posted Oct 9, 2023 by Tapesh Kulkarni