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SBI PO Exam Quantitative Aptitude Study Material

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Simplification

The simplified value of

a) 59.96
b) 0.5996
c) 5.996
d) 599.6

✔Answer

✔Solution

Correct Answer Is : 5.996

Solution Is :

Evaluate : √24 + √6 / √24 - √6

a) 2
b) 3
c) 4
d) 5

✔Answer

✔Solution

Correct Answer Is : 3

Solution Is : Expression = √24 + √6 / √24 - √6 = √226 + √6 / √226 - √6 = 2√6 + √6/ 2√6 - √6 = √6(2+1)/√6(2-1) =3

a) 15/17
b) 13/17
c) 15/19
d) 60/13

✔Answer

✔Solution

Correct Answer Is : 60/13

Solution Is :

If `+` means `÷`, `x`, means `-`, `÷`, means `x`, and `-`, means `+`, what will be the value of the following expression ?

a) 6.25
b) 6.75
c) -1.75
d) 18

✔Answer

✔Solution

Correct Answer Is : 18

Solution Is : 9 + 3 ÷ 4 -8 * 2 After respective substitutions, = 9 ÷ 3 * 4 -8 * 2 = 9/3 * 4 + 8 - 2 = 20 - 2 = 18

If x : y : : 2 : 3 and 2 : x : : 4 : 8 the value of y is

a) 6
b) 8
c) 4
d) 12

✔Answer

✔Solution

Correct Answer Is : 6

Solution Is : 2/x = 4/8 => 4x = 2x8 x = 28/4 = 4 x/y = 2/3 4/y = 2/3 2y = 43 y = 4*3/2 = 6

If 40% of 4/5 of 3/4 of a number is 48, then what is 1% of the same number ?

a) 20
b) 2
c) 10
d) 1

✔Answer

✔Solution

Correct Answer Is : 2

Solution Is : Let the number be x. x * 3/4 * 4/5 * 40/100 = 48 x * 3/5 * 2/5 = 48 x = 48 * 5 * 5 / 3 * 2 = 200 1% of 200 = 200 * 1/100 = 2

If a = √6 +√5, b = √6 - √5 then 2a² - 5 ab + 2b² = ?

a) 38
b) 39
c) 40
d) 41

✔Answer

✔Solution

Correct Answer Is : 39

Solution Is :

If p = 5/18, then 27 p³- 1/216 - 9/2 p² + 1/4 p is equal to

a) 4/27
b) 5/27
c) 8/27
d) 10/27

✔Answer

✔Solution

Correct Answer Is : 8/27

Solution Is :

If x + 1/x = 2, then x²013 + 1/x²014 = ?

a) 0
b) 1
c) -1
d) 2

✔Answer

✔Solution

Correct Answer Is : 2

Solution Is : X + 1/x = 2 x² + 1 = 2x x² - 2x + 1 = 0 ( x - 1 )² = 0 => x=1 x²013 + 1/x²014 = 1 + 1 = 2

If a = 331, b = 336 and c = -667, then the value of a³+ b³+ c³- 3abc is

a) 1
b) 6
c) 3
d) 0

✔Answer

✔Solution

SBI PO Exam Quantitative Aptitude Study Material

Simplification

The simplified value of

Correct Answer Is : 5.996

Solution Is :

Evaluate : √24 + √6 / √24 - √6

Correct Answer Is : 3

Solution Is : Expression = √24 + √6 / √24 - √6 = √2*2*6 + √6 / √2*2*6 - √6 = 2√6 + √6/ 2√6 - √6 = √6(2+1)/√6(2-1) =3

Correct Answer Is : 60/13

Solution Is :

If `+` means `÷`, `x`, means `-`, `÷`, means `x`, and `-`, means `+`, what will be the value of the following expression ?

Correct Answer Is : 18

Solution Is : 9 + 3 ÷ 4 -8 * 2 After respective substitutions, = 9 ÷ 3 * 4 -8 * 2 = 9/3 * 4 + 8 - 2 = 20 - 2 = 18

If x : y : : 2 : 3 and 2 : x : : 4 : 8 the value of y is

Correct Answer Is : 6

Solution Is : 2/x = 4/8 => 4x = 2x8 x = 2*8/4 = 4 x/y = 2/3 4/y = 2/3 2y = 4*3 y = 4*3/2 = 6

If 40% of 4/5 of 3/4 of a number is 48, then what is 1% of the same number ?

Correct Answer Is : 2

Solution Is : Let the number be x. x * 3/4 * 4/5 * 40/100 = 48 x * 3/5 * 2/5 = 48 x = 48 * 5 * 5 / 3 * 2 = 200 1% of 200 = 200 * 1/100 = 2

If a = √6 +√5, b = √6 - √5 then 2a2 - 5 ab + 2b2 = ?

Correct Answer Is : 39

Solution Is :

If p = 5/18, then 27 p3- 1/216 - 9/2 p2 + 1/4 p is equal to

Correct Answer Is : 8/27

Solution Is :

If x + 1/x = 2, then x2013 + 1/x2014 = ?

Correct Answer Is : 2

Solution Is : X + 1/x = 2 x2 + 1 = 2x x2 - 2x + 1 = 0 ( x - 1 )2 = 0 => x=1 x2013 + 1/x2014 = 1 + 1 = 2

If a = 331, b = 336 and c = -667, then the value of a3+ b3+ c3- 3abc is

Correct Answer Is : 0

Solution Is : A + b + c = 332 + 336 - 667 = 0 a3+ b3+ c3- 3abc = 0

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Solution Is : Expression = √24 + √6 / √24 - √6 = √226 + √6 / √226 - √6 = 2√6 + √6/ 2√6 - √6 = √6(2+1)/√6(2-1) =3

Solution Is : 2/x = 4/8 => 4x = 2x8 x = 28/4 = 4 x/y = 2/3 4/y = 2/3 2y = 43 y = 4*3/2 = 6

If a = √6 +√5, b = √6 - √5 then 2a² - 5 ab + 2b² = ?

If p = 5/18, then 27 p³- 1/216 - 9/2 p² + 1/4 p is equal to

If x + 1/x = 2, then x²013 + 1/x²014 = ?

Solution Is : X + 1/x = 2 x² + 1 = 2x x² - 2x + 1 = 0 ( x - 1 )² = 0 => x=1 x²013 + 1/x²014 = 1 + 1 = 2

If a = 331, b = 336 and c = -667, then the value of a³+ b³+ c³- 3abc is

Solution Is : A + b + c = 332 + 336 - 667 = 0 a³+ b³+ c³- 3abc = 0