How Cheenta works to ensure student success?

Explore the Back-StoryThe value of , when simplified, is

a)

b)

c)

d) 1000

When is divided by , the result is . When is divided by , the result is . Then the numerical value of is

a) 38

b) 40

c) 39

d) 48

There are 5 cards numbered as shown In the figure. The number of ways in which one can choose 3 or less cards which contain only odd numbers is

a) 8

b) 7

c) 3

d) 21

is a triangle. The bisector of meets at . The bisectors of and meet at .

Then the measure of is

a)

b)

c)

d)

Samrud secures of the marks but fails by 30 marks. Saket gets marks which is 42 marks more than the minimum pass marks. The maximum marks in the test would be

a) 100

b) 200

c) 300

d) 600

The greatest number that divides 25,73 and 97 to leave the same remainder is

a) 19

b) 22

c) 24

d) 37

If where are natural numbers, then the numerical value of is

a) 8

b) 13

c) 12

d) 9

In the adjoining figure, two equilateral triangles are placed such that is parallel to . If , , the area in of trapezium is

a)

b)

c)

d)

Siva found the average of 5 numbers. He got an answer 40 which is wrong because, while listing, instead of writing the number 43 he wrote 48 . The correct average must be

a) 38

b) 39

c) 41

d) 31

In the adjoining figure, is a square. Also . Then the value of (in degrees) is

a) 210

b) 220

c) 215

d) 225

If the numerator and diameter of a fraction are increased by and respectively, then the fraction becomes . If the original fraction is , where and have no common factors, then is

a) 3

b) 6

c) 7

d) 9

Gita divided 360 into 4 parts such that twice the first part, thrice the second part, five times the third part and six times the fourth part are all equal. Then the difference between the third and fourth parts is

a) 20

b) 15

c) 10

d) 7

In the adjoining figure, the degree measure of is

a)

b)

c)

d)

Consider the following sequence:

The digit in the place is

a) 3

b) 5

c) 7

d) 1

In the two figures, there is a pattern of numbers which are same. Then the number in the head of the second figure,

a) 6

b) 13

c) 8

d) 10

There are two cars and . The speed of is less than that of . They travel a certain equal distance. The percentage of time does need to travel than is . Then is .

Six equal unit squares are arranged in different shapes as shown in the diagram below:

In diagram (1), the perimeter is , which equals 10. Similarly the perimeters of the other shapes also are found out. Let the perimeters be denoted by and .

Then the value of is .

In a two digit number, the digit in the tens place is twice the digit in the units place. If we swap the places of these two digits, a new two-digit number is formed. The sum of these two numbers is 132 . The original number is .

An ant starts from and wants to go to . It is allowed to go along the lines and pass a line and a point only once. The number of different routes that it can take to go from to is .

Three consecutive natural numbers are taken from 1 to 6 . With these three numbers, three digit numbers are formed. The total number of such 3-digit numbers is .

In the adjoining figure,

and .

If , then .

The number of 5-digit numbers of the form (where are digits), each of which is divisible by 36 is .

The units digit of the sum of all 2-digit numbers is .

A natural number is taken. One sixth of this number is subtracted from it. From the resulting number, half of the number is taken and from this number one fifth is taken. If the resulting number is 3 , then the original number taken is .

The least number that is added to 2716321 to make it exactly divisible by 3456 is .

The value of , when simplified, is

a)

b)

c)

d) 1000

When is divided by , the result is . When is divided by , the result is . Then the numerical value of is

a) 38

b) 40

c) 39

d) 48

There are 5 cards numbered as shown In the figure. The number of ways in which one can choose 3 or less cards which contain only odd numbers is

a) 8

b) 7

c) 3

d) 21

is a triangle. The bisector of meets at . The bisectors of and meet at .

Then the measure of is

a)

b)

c)

d)

Samrud secures of the marks but fails by 30 marks. Saket gets marks which is 42 marks more than the minimum pass marks. The maximum marks in the test would be

a) 100

b) 200

c) 300

d) 600

The greatest number that divides 25,73 and 97 to leave the same remainder is

a) 19

b) 22

c) 24

d) 37

If where are natural numbers, then the numerical value of is

a) 8

b) 13

c) 12

d) 9

In the adjoining figure, two equilateral triangles are placed such that is parallel to . If , , the area in of trapezium is

a)

b)

c)

d)

Siva found the average of 5 numbers. He got an answer 40 which is wrong because, while listing, instead of writing the number 43 he wrote 48 . The correct average must be

a) 38

b) 39

c) 41

d) 31

In the adjoining figure, is a square. Also . Then the value of (in degrees) is

a) 210

b) 220

c) 215

d) 225

If the numerator and diameter of a fraction are increased by and respectively, then the fraction becomes . If the original fraction is , where and have no common factors, then is

a) 3

b) 6

c) 7

d) 9

Gita divided 360 into 4 parts such that twice the first part, thrice the second part, five times the third part and six times the fourth part are all equal. Then the difference between the third and fourth parts is

a) 20

b) 15

c) 10

d) 7

In the adjoining figure, the degree measure of is

a)

b)

c)

d)

Consider the following sequence:

The digit in the place is

a) 3

b) 5

c) 7

d) 1

In the two figures, there is a pattern of numbers which are same. Then the number in the head of the second figure,

a) 6

b) 13

c) 8

d) 10

There are two cars and . The speed of is less than that of . They travel a certain equal distance. The percentage of time does need to travel than is . Then is .

Six equal unit squares are arranged in different shapes as shown in the diagram below:

In diagram (1), the perimeter is , which equals 10. Similarly the perimeters of the other shapes also are found out. Let the perimeters be denoted by and .

Then the value of is .

In a two digit number, the digit in the tens place is twice the digit in the units place. If we swap the places of these two digits, a new two-digit number is formed. The sum of these two numbers is 132 . The original number is .

An ant starts from and wants to go to . It is allowed to go along the lines and pass a line and a point only once. The number of different routes that it can take to go from to is .

Three consecutive natural numbers are taken from 1 to 6 . With these three numbers, three digit numbers are formed. The total number of such 3-digit numbers is .

In the adjoining figure,

and .

If , then .

The number of 5-digit numbers of the form (where are digits), each of which is divisible by 36 is .

The units digit of the sum of all 2-digit numbers is .

A natural number is taken. One sixth of this number is subtracted from it. From the resulting number, half of the number is taken and from this number one fifth is taken. If the resulting number is 3 , then the original number taken is .

The least number that is added to 2716321 to make it exactly divisible by 3456 is .

Cheenta is a knowledge partner of Aditya Birla Education Academy

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.

JOIN TRIALAcademic Programs

Free Resources

Why Cheenta?

Online Live Classroom Programs

Online Self Paced Programs [*New]

Past Papers

More