National Level Solved Paper (MAT) - 2016-17 - Class 10 MCQ

Find the missing number.

If A, B, C, D are distinct decimal digits, then which of the following options is correct?

Observe the following figure representing a balance.

Q. Which of the following figures represents the correct balance?

Choose appropriate option from given alternatives such that the relationship defined by ‘:’ is preserved.

PNIJ : LIFC and VTRP : ______

A coin is in a fixed position. Another identical coin is rolled around the edge of the first one. How many complete revolutions will be made by the revolving coin before it reaches its starting position?

If South-East becomes North; and NorthEast becomes West; then West becomes

A cube is 6 cm in length, breadth and height. It is painted red on two opposite faces, black on the other two opposite faces and green on the left over faces. It is then cut into 216 cubes of side 1 cm. How many small cubes have no face painted?

Find the odd-one out of the following terms:

EF22, JK42, GH24, VW90, IJ38

Choose the conclusions which logically follow from the given statements.

Statement:
All the pens are papers
All the papers are boats
Some birds are boats.

Conclusions:
(A) Some boats are pens
(B) Some birds are papers
(C) None of the pens are birds

How many quadrilaterals are there in the given figure?

Which of the following alternatives will fit in place of ‘M’?

255, 3610, 4915, M, 8125

Which of the following alternatives will fit in place of ‘M’?

L6, O8, R11, M, X25, A42, D75

Which of the following alternatives will fit in place of ‘M’?

If ‘∑' means 'X', 'δ' means '÷', 'σ' means '+' and '∝' means '-' then evaluate the following expression using standard operator precedence.

56δ(6σ8)∑4∝1

With what operators, should the symbols @ and < be replaced so that the following expression is valid.

100 – 81 ÷ 27 @ 3 < 6 = 115

x is an integer such that it leaves a remainder of 2 when divided by 3, leaves a remainder of 3 when divided by 5, and leaves a remainder of 5 when divided by 7. What could be a possible value of x from among the following options?

In how many ways can you distribute 10 identical balls into two non-identical boxes so that none are empty?

One line forms two regions in a plane. Similarly, two lines in a plane can form a maximum of four regions. These are shown in the figures below:

What is the maximum number of regions that can be formed by 4 lines in a plane? Lines need not be concurrent.

You need to take n arbitrary points on or inside a square of side 2 cm such that there will always be a pair of points at a distance of not more than √2 cm. What is the minimum value of n?

The following facts are known about an unknown number X:

I: The sum of digits of X is 15.
II: The unit’s digit of X is 6.

Then which of the following statements is certainly true about X?

The average age of A, B and C is 43 years. Which of the following statements are required to find the eldest among them?

Statements:
I: Age of C is 65 years.
II: Age of A is 25 years.

Directions: A class is to be taught five subjects_Hindi, Physics, Chemistry, Biology and Mathematics by five different teachers—A, B, C, D and E in five periods (1 to 5). A teacher can teach in only one of the periods. The following details are available about the teaching.

• A teaches Mathematics which is not taught in the first period.
• Physics is taught by D in an even numbered period.
• Chemistry is taught in an odd period, and it precedes Mathematics period.
• E teaches in the first period.
• C teaches Chemistry but not in the first or the last periods.
• Hindi is taught in the last period.

Q. Which of the following statements is necessarily true?

Directions: A class is to be taught five subjects_Hindi, Physics, Chemistry, Biology and Mathematics by five different teachers—A, B, C, D and E in five periods (1 to 5). A teacher can teach in only one of the periods. The following details are available about the teaching.

• A teaches Mathematics which is not taught in the first period.
• Physics is taught by D in an even numbered period.
• Chemistry is taught in an odd period, and it precedes Mathematics period.
• E teaches in the first period.
• C teaches Chemistry but not in the first or the last periods.
• Hindi is taught in the last period.

Q. Which subject is taught by B?

A solid metallic cylinder of radius 12 cm and height 175 cm is melted and moulded into another solid cylinder of height 63 cm. What is the radius of the new cylinder?

Choose the option which shows the correct mirror image of the characters given below.

D I V E R T 6 4 7 5 A L E

Directions: There are 150 students in a class. 20 students play both hockey and kabaddi. The same numbers of students play only football. 35 students play both hockey and football but not kabaddi. 25 plays both football and kabaddi but not hockey. The number of students who play only hockey is the same as the number of students who do not play any of three mentioned games and the number of students who play only hockey is half of the number of students who play only football.

Q. How many students play only kabaddi?

Directions: There are 150 students in a class. 20 students play both hockey and kabaddi. The same numbers of students play only football. 35 students play both hockey and football but not kabaddi. 25 plays both football and kabaddi but not hockey. The number of students who play only hockey is the same as the number of students who do not play any of three mentioned games and the number of students who play only hockey is half of the number of students who play only football.

Q. How many students play only hockey?