Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which eqution below determines the correct value of a ?

A

5(2a+9)+2a = 74

B

5(2a-9+2a)=74

C

(4a+9)+5a=75

D

2(2a+9)+5a=74

The larger of two numbers exceeds twice the smaller number by 9. The sum of twice the larger and 5 times the smaller number is 74. If a is the smaller number, which equation below determines the correct value of a ?

A

5(2a+9)+2a = 74

B

5(2a-9)+2a = 74

C

(4a+9)+5a = 74

D

2 (2a+9)+5a = 74

Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?

A

3

B

4

C

5

D

6

Two circles are drawn with the same centre. The circumference of the smaller circle is 44 cm and that of the bigger circle is double the smaller one. What is the area between these two circles?A. 154 square cmB. 308 square cmC. 462 square cmD. 616 square cm

A

154 square cm

B

308 square cm

C

462 square cm

D

616 square cm

Consider the given question and decide which of the following statements is sufficient to answer the question. All natural numbers are whole numbers?
(I) All natural numbers plus 0 are called whole numbers (II) Whole numbers are different from natural numbers

A

Neither (I) nor (II) is sufficient to answer the question

B

(II) alone is sufficient while (I) alone is not sufficient to answer the question

C

(I) alone is sufficient while (II) alone is not sufficient to answer the question

D

Both (I) and (II) are sufficient to answer the question

Twenty-nine times the area of a square is one square metre less than six times the area of the second square and nine times its side exceeds the perimeter of other square by 1 metre. The difference in the sides of these squares is :

A

5 m

B

$$\frac{{54}}{{11}}$$ m

C

6 m

D

11 m

A big rectangular plot of area 4320 m² is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot ?

A

160 m × 27 m

B

240 m × 18 m

C

120 m × 36 m

D

135 m × 32 m

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?

A

167

B

177

C

187

D

197

If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number. Then the smaller number is ---

A

13

B

26

C

31

D

39

If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is :

A

13

B

26

C

31

D

39

Two whole numbers are such that the square of first number exceeds the second by 112 and the ratio of the numbers is 4:3. What is thevalue of smaller number?

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