## Number Solved Questions For IBPS, SBI and Other Bank Exams - Page 4

**Question 1**

1896 x 1896 = ?

a) 458176 b) 5948316 c)3594816 d)6138896

**Answer :** c)3594816

**Solution:**

1896 x 1896 = 1896^{2}

= (1900 - 4)^{2}

= (1900)^{2} + (4)^{2} - 2x1900x4 (by using the formula (a-b)^{2} = a^{2} + b^{2} - 2ab)

= 3610000 +16-15200

= 3594816

**Question 2**

58430 x 125 = ?

a) 7303750 b) 7878000 c)7307305 d)7638605

**Answer:** a) 7303750

**Solution:**

Given that,

58430 x 125 = 58430 x 5^{3}

= 58430 x (10/2)^{3}

= (58430 x 10^{3})/2^{3}

= 58430000/8

= 7303750

Hence the answer is 7303750.

**Question 3**

2732 x 61 = ?

a)185362 b) 166652 c) 136672 d)143362

**Answer:** b) 166652

**Solution:**

2732 x 61 = 2732 x (60 + 1)

= 2732 x 60 + 2732 x 1

= 163920 + 2732

= 166652.

**Question 4**

206 x 206 + 194 x 194 = ?

a)80072 b)57582 c)39852 d)72992

**Answer:** a)80072

**Solution:**

206 x 206 + 194 x 194= 206^{2} + 194^{2}

= (200+6)^{2} + (200-6)^{2}

= 2 x [(200)^{2} + 6^{2}] ( by using (a+b)^{2} + (a-b)^{2} = 2(a^{2} + b^{2})

= 2 x [40000 + 36]

= 2 x 40036

= 80072

Hence the answer is 80072.