This Article consist of most important ” Square Root and Cube Root Problems ” that are mostly asked in all competitive exams. We collected these questions from the students who appeared in exams. Now try to solve these questions.

## Square Root and Cube Root Problems

**Question : 1** The square root of 64009 is:

A. 253

B. 347

C. 363

D. 803

**Show Answer**

**Correct Answer : ** **D**

**Explanation : **

2|64009( 253

|4

|———-

45|240

|225

|———-

503| 1509

| 1509

|———-

| X

|———-

64009 = 253

**Question : 2** How many two-digit numbers satisfy this property.: The last digit (unit’s digit) of the square of the two-digit number is 8 ?

A. 1

B. 2

C. 3

D. None of these

**Show Answer**

**Correct Answer : ** **D**

**Explanation : **

A number ending in 8 can never be a perfect square.

**Question : 3** A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is:

A. 57

B. 67

C. 77

D. 87

**Show Answer**

**Correct Answer : ** **C**

**Explanation : **

Money collected = (59.29 x 100) paise = 5929 paise.

Number of members = square root of (5929) = 77

**Question : 4** square root of 1.5625 = ?

A. 1.05

B. 1.25

C. 1.45

D. 1.55

**Show Answer**

**Correct Answer : ** **B**

**Explanation : **

1|1.5625( 1.25

|1

|——-

22| 56

| 44

|——-

245| 1225

| 1225

|——-

| X

|——-

1.5625 = 1.25

**Question : 5 ** The least perfect square, which is divisible by each of 21, 36 and 66 is:

A. 213444

B. 214344

C. 214434

D. 231444

**Show Answer**

**Correct Answer : ** **A**

**Explanation : **

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 2sq x 3sq x 7sq x 11sq = 213444