**Answer**: Option C

**Explanation**: 7 × 100 = 700

**2. What is the place value of 3 in the numeral 3259 **

**Answer**: Option D

**Explanation**: 3 × 1000 = 3000

**3. What is the difference between the place value of 2 in the numeral 7229? **

**Answer**: Option C

**Explanation**: 200 – 20 = 180

**4. What is the place value of 0 in the numeral 2074?**

**Answer**: Option D

**Explanation**: The place value of zero (0) is always 0. It may hold any place in a number,

its value is always 0.

**5. What is the difference between the place value and face value of 3 in the numeral 1375? **

**Answer**: Option C

**Explanation**: place value of 3 = 3 × 100 = 300

face value of 3 = 3

300 – 3 = 297

**Answer**: Option B

**Explanation**: Let the original number be ‘a’

Let the divisor be ‘d’

Let the quotient of the division of aa by dd be ‘x’

Therefore, we can write the relation as \(\frac{a}{d}\) = x and the remainder is 24.

i.e., a=dx+24 When twice the original number is divided by d, 2a is divided by d.

We know that a=dx+24. Therefore, 2a = 2dx + 48

The problem states that \(\frac{2dx+48}{d}\)leaves a remainder of 11.

2dx2dx is perfectly divisible by d and will, therefore, not leave a remainder.

The remainder of 11 was obtained by dividing 48 by d.

When 48 is divided by 37, the remainder that one will obtain is 11.

Hence, the divisor is 37.

**7. How many numbers from 10 to 50 are exactly divisible by 3.**

**Answer**: Option B

**Explanation**: 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45,48.

13 Numbers.

\(\frac{10}{3}\) = 3 and \(\frac{50}{3}\) = 16 ==> 16 – 3 = 13. Therefore 13 digits.

**8. In an election, candidate A got 75% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid votes polled in favor of the candidate.**

**Answer**: Option D

**Explanation**: Total number of invalid votes = 15 % of 560000

= 15/100 × 560000

= \(\frac{8400000}{100}\)

= 84000

Total number of valid votes 560000 – 84000 = 476000

Percentage of votes polled in favour of candidate A = 75 %

Therefore, the number of valid votes polled in favour of candidate A = 75 % of 476000

= \(\frac{75}{100}\) × 476000

= \(\frac{35700000}{100}\)

= 357000

**9. Aravind had $ 2100 left after spending 30 % of the money he took for shopping. How much money did he take along with him? **

**Answer**: Option C

**Explanation**:

Let the money he took for shopping be m.

Money he spent = 30 % of m

= 30/100 × m

= 3/10 m

Money left with him = m – \(\frac{3}{10}\) m = \(\frac{(10m – 3m)}{10}\) = \(\frac{7 m}{10}\)

But money left with him = $ 2100

Therefore 7m/10 = $ 2100

m = $ 2100× \(\frac{10}{7}\)

m = $ \(\frac{21000}{7}\)

m = $ 3000

Therefore, the money he took for shopping is $ 3000.

**10. A shopkeeper bought 600 oranges and 400 bananas. He found 15% of oranges and 8% of bananas were rotten. Find the percentage of fruits in good condition.**

**Answer**: Option A

**Explanation**:

Total number of fruits shopkeeper bought = 600 + 400 = 1000

Number of rotten oranges = 15% of 600

= 15/100 × 600 = \(\frac{9000}{100}\) = 90

Number of rotten bananas = 8% of 400

= 8/100 × 400 = \(\frac{3200}{100}\) =32

Therefore, total number of rotten fruits = 90 + 32 = 122

Therefore Number of fruits in good condition = 1000 – 122 = 878

Therefore Percentage of fruits in good condition = (\(\frac{878}{1000}\) × 100)%

= (\(\frac{87800}{1000}\))% = 87.8%

**Answer**: Option B

**Explanation**:

d = \(\frac{(D-R)}{Q}\)

\(\frac{(109 – 1)}{9}\)

= \(\frac{(108)}{9}\) = 12

**12. What is the dividend. divisor 17, the quotient is 9 and the remainder is 5. **

**Answer**: Option C

**Explanation**:

D = d × Q + R

D = 17 × 9 + 5

= 153 + 5

D = 158

**13. In a division sum, the divisor is ten times the quotient and five times the remainder. If the remainder is 46, the dividend is: **

**Answer**: Option A

**Explanation**:

Divisor = (5 × 46) = 230

= 10 × Quotient = Divisor

=> Quotient = \(\frac{230}{10}\) = 23

Dividend = (Divisor × Quotient) + Remainder

Dividend = (230 × 23) + 46 = 5336

**14. In a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is: **

**Answer**: Option C

**Explanation**:

Divisor = (6 × 3) + 2 = 20

5 × Quotient = 20

Quotient = 4.

Dividend = (Divisor × Quotient) + Remainder

Dividend = (20 × 4) + 6 = 86

**15. In a question on division with zero remainders, a candidate took 12 as divisor instead of 21. The quotient obtained by him was 35. The correct quotient is: **

**Answer**: Option D

**Explanation**:

Number = (35 × 12) = 420

Correct quotient = \(\frac{420}{21}\) = 20

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