Quantitative Aptitude Quiz Part - 2 for IBPS PO, RRB, CLERK and other exam

Direction (Q.10-15) : In each of these questions two equations numbered (I) and (II) are given. You have to solve both the equations and give answer carefully:

Q.1

I.   21x²+32x+12 = 0

II. 40y²+23y+3 = 0

A. x≤y

B. x<y

C. x≥y

D. x>y

E. x=y or no relationship

 Q.2

I.   28x²-85x+22 = 0

II. 20y²+43y-33 = 0

A. x≤y

B. x<y

C. x≥y

D. x>y

E. x=y or no relationship

Q.3

I.   45x²+71x+28 = 0

II. 36y²+46y+14 = 0

A. x≤y

B. x<y

C. x≥y

D. x>y

E. x=y or no relationship

Q.4

I.   6x²-7√8x+16 = 0

II. 10y²+13y+4 = 0

A. x≤y

B. x<y

C. x≥y

D. x>y

E. x=y or no relationship

Q.5

I.   x³-4096 = 0

II. y²-324 = 0

A. x≤y

B. x<y

C. x≥y

D. x>y

E. x=y or no relationship


Direction (Q.1-5) :What should come at the place of question mark (?) in the following questions?

  Q.6 864.03÷√256÷∛510×11.98+44.06 = ?³

A. 0
B. 8
C. 5
D. 10
E. 18

       Q.7 (742.037+310.98-107.02) – (246.024+506.87-156.9) = ?^1/2 +324

A. 596

B. 676

C. 169

D. 298

E. None of these

       Q.8 √(43.02% of 754) – 49.09% of 651 = ?^1/2 -265

A. 1296

B. 1100

C. 36

D. 6

E. 12

      Q.9 27.02÷197.89×√4355.9×√81÷243.1 = 3^4-?÷√8.92

A. 15

B. 9

C. 0

D. 6

E. 4

      Q.10 (3465.007+456.98-3746.03)/( ∛1728.03+√675.98-√730 = ?

A. 25

B. 12

C. 16

D. 27

E. 39

 Answers:

1. B.

2. E.

3. A.

4. D.

5. E.

6. C.

7. B.

8. A.

9. E.

10. C.

Explanation:

1.

21x²+32x+12 = 0

21x²+(18+14)x+12 = 0

21x²+18x+14x+12 = 0

3x(7x+6)+2(7x+6) = 0

(7x+6)(3x+2) = 0

x = -2/3, -6/7

40y²+23y+3 = 0

40y²+(15+8)y+3 = 0

40y²+15y+8y+3 = 0

5y(8y+3)+1(8y+3) = 0

(8y+3)(5y+1) = 0

y = -3/8, -1/5

x<y

2. 

28x²-85x+22 = 0

28x²-(77+8)x+22 = 0

28x²-77x-8x+22 = 0

7x(4x-11)-2(4x-11) = 0

(4x-11)(7x-2) = 0

x = 11/4, 2/7

20y^2-43y-33 = 0

20y²-(55-12)y-33 = 0

20y-55y+12y-33 = 0

5y(4y-11)+3(4y-11) = 0

(4y-11)(5y+3) = 0

y = 11/4, -3/5

x=y

3.
45x²+71x+28 = 0

45x²+(36+35)x+28 = 0

45x²+36x+35x+28 = 0

9x(5x+4)+7(5x+4) = 0

(5x+4)(9x+7) = 0

x = -4/5, -7/9

36y²+46y+14 = 0

36y²+(28+18)y+14 = 0

36y²+28y+18y+14 = 0

4y(9y+7)+2(9y+7) = 0

(9y+7)(4y+2) = 0

y = -7/9, -2/4

x≤y

4.
6x²-7√8x+16 = 0

6x²-(4√8+3√8)x+16 = 0

6x^2-4√8x-3√8x+16 = 0

2x(3x-2√8)-√8(3x-2√8) = 0

(3x-2√8)(2x-√8) = 0

x = 2√8/3, √8/2

10y²+13y+4 = 0

10y²+(8+5)y+4 = 0

10y²+8y+5y+4 = 0

2y(5y+4)+1(5y+4) = 0

(5y+4)(2y+1) = 0

y = -4/5, -1/2

x>y

5.
x³-4096 = 0

x³ = 4096

x = ∛4096
x = 16

y²-324 = 0

y=√324
y = ±18

x=y

6.

864.03÷√256÷∛510×11.98+44.06 = ?³

864÷√256÷∛512×12+44 = ?³

864÷16÷8×12+44 = ?³

81+44 = ?³

?³ = 125

? = 5

7.

(742.037+310.98-107.02) – (246.024+506.87-156.9) = ?^1/2 +324

(742+311-107) – (246+507-157) = ?^1/2 +324

(1053-107) – (753-157) = ?^1/2 +324

946-596 = ?^1/2 +324

350-324 =?^1/2

26 = ?^1/2

? = 676

8.

√(43.02% of 754) – 49.09% of 651 = ?^1/2 -265

√(43% ×754) – 49% of 651 = ?^1/2 -265

√324.0 – 319 = ?^1/2 -265

18-319+265 = ?^1/2

283-319 = ?^1/2

-36 =?^1/2

? = 1296

9.

27.02÷197.89×√4355.9×√81÷243.1 = 3^4-?÷√8.92

27÷198×√4356×√81÷243 = 3^4-?÷√9

27÷198×66×9÷243 = 3^4-?÷3

27÷198×66×9÷243×3 = 3^4-?

3⁰ = 3^4-?

0 = 4-?

? = 4

10.

(3465.007+456.98-3746.03)/( ∛1728.03+√675.98-√730 = ?

(3465+457-3746)/ (∛1728+√676-√729) = ?

(3922-3746)/(12+26-27) = ?

176/11 = ?

? = 16