Find the value of the shape

What would be the internal angle between the hour and minute hand of an analog clock at 10:30 am?

The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?

The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

An animal cage is holding 8 black cats and 10 white cats. All of them want to get out of the cage. The cage door is opened slightly and two cats escape. What is the probability that a black cat is followed by a white cat?

In The Ultimate Quiz Show, a contestant must pass in the Qualifying Round or Stage -1 and then reaching Stage-2 and answering random questions from four categories in as shown in the diagram.

Which of the following event has the highest probability?

Mark created this tally for the number of balls in a box.

He randomly takes out a ball from the box, what is the probability that drawn ball is a green ball?

Follows the rules in this flowchart using INPUT values.

What would be the OUTPUT values?

A circle is divided into four sectors, as shown.

If the Area of sector C is 90, what is the area of sector B?

In this magic hexagon, 1 to 19 are arranged in a way that the sum of numbers in each diagonal and column is the same.

Select the correct equation

The Highest Common Factor of two numbers is 19 and, the other two factors of their LCM are 11 and 8. The larger of the two numbers is:

Max is shading squares in this grid to make a pattern.

He needs to shade some extra squares so that the dotted line will be a line of symmetry. What is the smallest number of extra squares he needs to shade?

Which two signs to be interchanged for making the following equation correct :

16 – 4 x 3 ÷ 2 + 7 = 3

Which number goes in the X to make the number sentence true?
55×11 + 22×45 = 11 x (100 + X )

Maria is making 8 blueberry muffins, each with a weight of 85 g.
To make the muffins, she weighs two eggs and puts them in a bowl with flour, double the weight of the two eggs. After that, she takes sugar, half the weight of the two eggs and butter weighing a quarter of the weight of the two eggs. Finally, Maria adds blueberries, weighing half the weight of the two eggs. Finally, Maria adds blueberries, weighing half the weight of the two eggs.
What was the weight of the two eggs she used, in grams?

The numbers in below boxes follow a pattern; what is the missing number?

Heximal Numer System –The Base Six (or “heximal”) is a number system that uses the number symbols 0 through 5 in each digit rather than 0 through 9. So the number that would be expressed as 6 in base ten is expressed as 10 in base six. We count 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, and so on. So 100 (heximal) equals 36 or 6² (decimal), and 10000 (heximal) equals 1296 or 6⁴ (decimal).
What would be Heximal Number for Decimal Number 50?

Which pair of numbers will come next in this series?
89, 88, 91, 82, 109

In the rectangle below, the line MN cuts the rectangle into two regions. Find x, the length of segment MB, so that the area of the quadrilateral MNBC is 40% of the total area of the rectangle.

Clara earns an hourly rate of $20 per hour and 5% commission. Rose earns an hourly rate of $16 per hour and 10% commission. They each work a 40-hour week. In one particular week, Clara and Rose both sold the same value of goods and both received the same wage.

What was their wage for the week?

Mona can walk from home to school following the roads, or she can cut across a vacant block as shown in the diagram below.
Along the roads, she walks 600 metres east and 800 metres south.

How many metres less does she walk by going across the vacant block?

If 40% of a number is equal to two-third of another number, what is the ratio of the first number to the second number?

Select correct option

John takes 15 minutes to finish his dinner, he then takes a 10 min short walk. After the walk, John spends one and a half hours on homework, 45 minutes on piano and half an hour watching TV before going to bed at 9:30 PM. When does he finish dinner?

Danny drew a pattern on a grid paper.

He then put an imaginary mirror at 135^o to the left of the pattern to draw its reflected image.
Which of these shows the final pattern?

In a game of cards, for every 6 cards Rohan loses, Rick loses 4 cards, Martin loses 2 cards and Sam loses 3 cards. If they all started with 60 cards each, how many cards will Martin still have when Rohan runs out of cards?

A farming field can be ploughed by 6 tractors in 4 days. When 6 tractors work together, each of them ploughs 120 hectares a day. If two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. How many hectares a day did each of remaining tractors plough then?

Sandra read 5 books, Deacon read 6 books and Breanna read 7 books. One book was read by all three children, but every other book was different. How many different books did the children read?

At Prime High School there are three language classes; French, German and Italian. There are 40 students in each class.
5 students study all three languages.
12 students study only German and Italian. 15 students study only French and Italian. 11 students study only French.
How many students study Only Italian at Prime High School?

In a street on one side, every third house is painted red while on the opposite side every fourth house is red. The street has 25 houses on each side and the first house on both sides is painted red.
How many houses facing each other on the street are painted red?

Sam, Jack and Justin were all on different pay structures at work. Sam was paid an hourly rate of $18 per hour. Jack was paid an hourly rate of $15 per hour and 4% commission. Justin was paid by commission only at a rate of 35%. Each of them worked for 40 hours and each sold $2000 worth of goods.

Who will be getting the highest pay for the week?

What is the length of wire required to make following shape?.
(∏ = 3.14)

What would be the unit digit in the product (3³³ x 6⁶⁶ x 7⁷⁷)?

Mark calls it ‘Magic Drink’ when he mixes four parts of water with one part of concentrated lemon cordial. He just prepared 2 litres of Magic Drink for his friends, coming over. Mark could not resist and drank 200 ml from it. He then tops up the remaining drink with water.

How much of the concentrated lemon cordial he should add to make it Magic Drink again?

Jack draws following graph for his trip to Canberra.

Here are three statements about the graph.

1. Jack drove for two and half before taking first break.
2. Jack took breaks at same point while going to and coming back from Canberra.
3. Jack took 3.5 hours from Canberra to reach home.

Which of these statements are correct?