(E) 212

3. (A) 16, 19, 24, 33, 50,
I__ -11 ‘ +1___ *1__ +L |

- (A) 158, 78, 38, 18, 8,

- *L_ *1__ ±1_ *l_

+3 +5 +9 +17 +33

‘_ 1-1_ 4+__ *1_ 4

+2 +4 +8 +16

I ■»! j4L_ 3

- (A) 402-,

302

I2l2k

31×0-5-0-5 = 15, 15×1-5-1-5 = 21, 21×2-5-2-5 = 50 ? = 50×3-5-3-5

= 14x litre

and the quantity of water = 3x litre

Now, In 25-5 litre of mixture the quantity of milk

25-5 x 14

17

= 21 litre

and the quantity of water

= 25-5-21

= 4-5 litre

After the replacement,

Q* ~ + 2-5) jqq _ 2q

(17x – 25-5 + 7-5) ^{1UU}~^{2U}

(3x – 2) x 5 = (17 x -18)

15x -10 = 17*-18

2x = 8

x = 4

Hence, The initial quantity of mixture in the vessel before the replacement

=-+17 x 4

= 68 litre

- 8. (A) At the end of the year,

Total Investment of A

= 20000×6 + 12000×6 = 192000

Total Investment of B

= 28000×6 + 20000×6 •= 288000

Total Investment of C

= 36000×12 + 8000×6 = 480000

Now, Ratio in profit

= 192000 : 288000 : 480000 = 2:3:5

Suppose total profit is = ?P 5 x P

10 5P 10

x 100

624

720

= 86|%

- (E) Req. central angle

33

100 ^{x }^{360 }= 118-8°

- (B) The number of Samsung cellular phones sold by stores B, C and D

(21 + 15 + 33\ \ 100 )

100

= 69 x 64 – 68 x 30 = 2376

Req. average

- (B) Req. difference

[ |

18 + 81

100 J ^{x}

= 1216 – 780 = 436

- (A) Number of Samsung cellular phones sold by store

E = ^x 6400-^x3000

= 768-240 = 528 The number of phones (both Nokia and Samsung) sold by store

_{r} 15 100′

Now, Req. percentage 528 x100

960

scheme A is ? x.

x x 14 x 8

100 = 1-12 x

Amount received from scheme A after 14 years

= x + l-12x = 2-12 x

Now, ATQ,

6678 = 2-12*

6678

* 2-12 x 0-21

= ? 15,000

- (A) Suppose the present age of A = x year

and the present age of B = y years

Then, ATQ,

(x – 4) x~

(y – 4) x 4 x-4

y-4

3x -12 lOy -3x

and (x + 8) x j

x + 8 = 2y + 12 x-2y = 4 On solving eq. (1) and (2) y = 10, x = 24

Hence, the present age of B = 10 years.

- (B) Total deduction of P

21800 x10 „„„„

= Too ^{+ }^{4720}

= 6900 New salary

= 21800 + 28600-6900 = ? 43,500

- (D) Total allowance = 3000 + Basic salary

Now,

Net salary = Basic salary

+ Total allowance – Total deduction 25850 = Basic salary + 3000 + Basic salary – 4350 2 x Basic salary

= 25850-3000 + 4350 = 27200

Basic salary = 13600 from eq. (1)

Total allowance of Q

?= 13600 + 3000 = ? 16,600

- (B) Provident fund deduction of S

* ^{11200}-OT

= ? 1,120

Now, S’s other deduction

1120 x13

7

= ? 2,080

- (E) Req. percentage

(11200-10400)

10400

800×100 _{n}9 ~ 10400 ~ ^{7}13-

- (E) Basic salary

(5,700-4,000)

10

= 17,000 Net salary

= 17000 + 21600-5700 = 38600-5700 = ? 32,900

- (D) From I,

x^{2} – 3x – 88 = 0 x^{2} — llx + 8x — 88 = 0 x(x-11) + 8(x -11) = 0 (x + 8) (x -11) = 0

x = – 8,11

From II, y^{2} + 8y – 48 = 0 y^{2} + 12y – 4y – 48 = 0 y(y + 12) – 4(y + 12) = 0 (y + 12)(y-4) = 0

y = 4,-12

- •• x > y

- (C) From I,

5x^{2} + 29x + 20 = 0 5x^{2} + 25x + 4x + 20 = 0 5x(x + 5) + 4(x + 5) = 0 (x + 5) (5x + 4) = 0

_{c} 4

x – 5, _{5}

From II,

25y^{2} + 25y + 6 = 0 25 y^{2} + 15y + lOy + 6 = 0 5y(5y + 3) + 2(5y + 3) = 0 (5y + 3)(5y + 2) = ••• x < y

- (B) From I,

2x^{2} – llx + 12 = 0 2x^{2} – 8x – 3x + 12 = 0 2x(x – 4) – 3(x – 4) = 0 (x – 4) (2x – 3) = 0 x = 4 j

From II,

2 y^{2} – 19y + 44 = 2y^{2}-lly-8y+ 44 = y(2y -11) – 4(2y -11) = (2y —11) (y-4) =

X £ y

- (B) From I,

From II, 3y^{2} + 7y + 4 = 0 3 y^{2} + 4y + 3y + 4 = 0 y(3y + 4) + l(3y + 4) = 0 (3y + 4)(y + l) = 0

x s y

- (E) From I,

2x^{2} + 21x + 10 = 0 2x^{2} + 20x + x + 10 = 0 2x(x + 10) + l(x + 10) = 0 (2x + 1) (x + 10) = 0

x = – 2,-10

From II,

3y^{2} + 13y + 14 = 0 3 y^{2} + 7y + 6y + 14 = 0 y(3y + 7)+2(3y + 7) = 0 (3y + 7)(y + 2) = 0

- 9

y = -3′-^{2}

.-. Relationship between x and y cannot be determined.

- (A) From I,

r^{2} – x -12

(x – 4) (x + 3)

x

From II, y^{2} + 5y + 6

(y + 2) (y + 3) = 0

y = -2,-3

xay

- For 28-31:

In Company A

Total number of employees in company A

= ^ X 4800 = 2000

Male employees,

= ^x 2000 = 1400

Female employees = 600

Operation department Male employees

= 1400x^ = 840 Female employees

= | x 456 = 285

O

Administration department Male employees

1400 – 840) x |

1-70

= 4800-2000 = 2800 Male employees

= ~ x 2800 = 2240

Female employees

= 2800-2240 = 560

Operation department Male employees

~ 100 = 1456 Female employees

= 1456 x»^_^{5}-) 1456 x 25 100′ ^{:}

Other Department Male employees

490 x120 100 ~ ^{588 }Female employees

= 560-(364+ 49)

= 147

Administration Department Male employees

= 2240 – (1456 + 588) = 196

Female employees

= jx (560-364)

= ~ x 196 = 49

- (D) Req. percentage

490 x100 1400 ^{:}

- (D) Total number of female employees

= 285 + 364 = 649

- (A) Req. difference

_{=} ^171 + 147^ _ ^70 + 196^

= 159 ~ 133 = 26

- (B) Req. Ratio

(196 + 49)

(588 + 147)

245

735

)]

2100

2100

^{5x} x100 ^{=}

2100 x100

7×5

Now, the monthly salary of Som = 6000 x 4 = ? 24,000

- (B) Work done by 8 women and 16 children in 9 days

9×8 16×9

Remaining work = 1 x x x 10

- x 20 x 5 12×10 10 days X x 120 100 6X 5

X x 85 x 130

100 x100 221 X

200

On solving eq. (1) and (2),

X = ?800

- (E) Total number of governmental projects handled by company A

(360 + 250) x 20

100

610 x 20

100

- (D) The total number of non governmental projects handled by company B

= 127×2 = 254

Now, The total number of governmental projects handled by the same company B

= 450-254 = 196

- (E) Req. percentage

(320 -190)x 100

320

130 x 100 5

320 ~ ^{4} 8

- (A) The number of projects handled by company A in 2009

= 300 x x ouu x _{100} x _{10Q}

= 378

- (B) Req. difference

= (180 + 230) ~ (210 + 350) = 410-560 = 150

- (C) Suppose the distance between A and B is x

Then, Distance between B and C is (x – 4) km.

x -4 _ x 20 28 28*-112-20*

20×28 8*-112 8*

Continued from Page 153

- (B) Australian Cricket Captain Michael Clarke present his third book, Ashes Diary 2015 following his successful Ashes Diary 2013 and best selling Captain’s Diary 2014.
- (A)
- (A) The foundation stone for Andhra Pradesh’s new capital city has laid on 22nd October, 2015 by Prime Minister Shri NareTidra Modi. The Andhra Pradesh Govt, has decided to name the new capital of the state which is coming up in Vijaya- wada-Guntur region as ‘Amaravati’, after the ancient seat of power of the Satvahanas. The resolution to this effect was passed by the state cabinet which met under chief minister N. Chandrababu Naidu in Hyderabad on 1st April, 2015.

(A) Economist Angus Deaton has won the 2015 economics Nobel Prize for his work on consumption, poverty and welfare that has helped governments to improve policy through tools such as household surveys and tax changes.