algebra rip v

Real Intensive

Quantitative Aptitude

AlgebraExclusively prepared for RIP V (IBPS PO) Students

#38, Burkit Road, T Nagar, Chennai

Ph: 044 6456 3030, Mob:

Blog: Http://raceinstitute.blogspot.in

Real Intensive

Program

Quantitative Aptitude

Algebra Exclusively prepared for RIP V (IBPS PO) Students

#38, Burkit Road, T Nagar, Chennai

Ph: 044 6456 3030, Mob: 9043303030, www.theRace.in


Real Intensive

Program V Quantitative Aptitude

Exclusively prepared for RIP V (IBPS PO) Students

#38, Burkit Road, T Nagar, Chennai-17

9043303030, www.theRace.in


R.A.C.E

Rapid Academy of Competitive Exams [Unit of Seeman Education]


NO. 38, Burkit road, T. Nagar, Chennai-17 Ph: 044-64563030 Mob: 9043303030 www.theRace.in

2

ALGEBRA

1. If 4� + 5� = 83 and �� = �

�� then what is the value of y - x?

(a) 3 (b) 4 (c) 7 (d) 11 (e) None of these

2. If 2� − 3� = 1 and 3� + � = 18 then what is the value of � − � ?

(a) -2 (b) 2 (c) -3 (d) 3 (e) None of these

Directions (3-4): In each questions, two equations I and II has been given. You have to solve these

equations and

Give answer (a) if no relation between p and q can be determined Give answer (b) if p > q

Give answer (c) if q > p Give answer (d) if p = q Give answer (e) if q ≥ p

3. I. p2 + 13p + 40 = 0

II. q2 + 7q + 12 = 0

4. I. P = (-10)2

II. q2 + q – 9900 = 0

Directions (5-8): In each of the following questions two equations are given. You have to solve the

equations and

Give answer (a) if x < y Give answer (b) if x ≤ y Give answer (c) if x = y

Give answer (d) if x ≥ y Give answer (e) if x > y

5. I. 4x2 – 8x + 3 = 0

II. 2y2 – 7y + 6 = 0

6. I. x2 – x – 6 = 0

II. 2y2 + 13y + 21 = 0

7. I. x2 = 4

II. y2 + 6y + 9 = 0

8. I. 2x + 3y = 4

II. 3x + 2y = 11

Directions (9-13): In each of these questions an equation is given with a question mark (?) in place of a

correct symbol. Based on the values on the right hand side and the left hand side of the question mark,

you have to decide which of the following symbol will come in place of the question mark.

Give answer If in place of question mark (?) following will come.

(a) > (greater than) (b) = (equal to) (c) < (less than)

(d) ≥ (either greater or equal to) (e) ≤ (either smaller or equal to)

9. [28% of 550 – 35] ? [32% of 650 – 89]

10. [841 ÷ 29 + 71] ? [407 – 193 – 105]

11. �� + �

� − �� ? ��

� − � +

��

12. �100 – �√196 + 6�#$ ? √2500

13. [{42 × (343)1/3} ÷ (49)] ? ± √36

R.A.C.E




3

Directions (14-18): In each of these questions an equation is given with a question mark (?) in place of

the correct figure on the right hand side which satisfies the equality. Based on the values on the left hand

side and the symbol of equality given, you have to decide which of the following figures will satisfy the

equality and thus come in place of the question mark.

Symbols stands for:

> Greater than = equal to < lesser than

≥ either greater or equal to ≤ either lesser than or equal to

14. √21 × 8 − 24 ≥ ?

(a) ±12 (b) 12 (c) -12

(d) 122 (e) -122

15. �√64 + 456# ÷ 8 < ?

(a) 53 (b) -58 (c) 57.9

(d) 56 (e) 59

16. √784 = ?

(a) 28 (b) -28 (c) ±28

(d) 282 (e) -282

17. +[(5 × 3) + (57 ÷ 3)] ≥ ?

(a) 35 (b) 33 (c) -34

(d) 34 (e) 31

18. (-93)2 > ?

(a) 932 (b) 8659 (c) 8649.9

(d) -8649 (e) 8650


a correct symbol. Based on the values on the right hand side and the left hand side of the questions mark,

you have to decide which of the following symbol will come in place of the question mark.

Give answer If in place of question mark (?) following will come

(a) > (greater than) (b) = (equal to) (c) < (less than)

(d) ≥ (either greater or equal to) (e) ≤ (either lesser or equal to)

19. ±��√256 − √64#$ ? �()10*� − )6*��

20. [(52 × 3) ÷ 12] ? �√196$

21. [156 – (36 – 42)] ? [(9)2 × 2]

22. [(15 ÷ 3) + (35 ÷ 7)] ? [(138 – 94) ÷ 4]

23. [(52 – (4)2 × 5] ? [52 × 8 – (4 × 5)]

Directions (24-28): In each of the questions an equation is given with a question mark (?) in place of a

correct symbol. Based on the values on the right hand side and the left hand side of the question mark,

you have to decide which of the following symbols will come in place of the question mark.


(a) > (greater than) (b) = (equal to) (c) < lesser than

(d) ≥ (either greater than or equal to) (e) ≤ (either lesser than or equal to)

24. – ��√361 − √49#$ ? �√144$ 25. [132 – (18 – 42)] ? [(10)2 × 2 – 44]

R.A.C.E




4

26. [{125 – (2)2 × 6} ? (62 × 4 – (9 × 2))]

27. [(63 ÷ 7) + (44 ÷ 11)] ? ± [(156 – 65) ÷ 7]

28. [(6 × 7) + 15] ? [√289 + 32]



side and the symbol of equality given, you have to decide which of the following figures will satisfy the

equality and thus come in place of the question mark.

Symbols stands for:


≥ either greater than or equal to ≤ either lesser than or equal to

29. – ��√225 − √144# × −)1.5*$ = ?

(a) 4.5 (b) -4.5 (c) 5.4 (d) -5.4 (e) 4.8

30. [(50 – 62) × 5] > ?

(a) 70 (b) √4761 (c) √5041 (d) ±70 (e) 70.5

31. – [(35 ÷ 140) × 3.5] < ?

(a) -0.991 (b) -0.879 (c) -0.875 (d) -0.975 (e) -0.587

32. [175 – (52 – 72)] ≥ ?

(a) ± 195 (b) -195 (c) 195 (d) 196 (e) √195

33. ± [(135 ÷ 2) – (43.5 ÷ 3)] ≤ ?

(a) -3 (b) 9 (c) √9 (d) 32 (e) ±3



side and the symbol of equality given. You have to decide which of the following symbols will come in

place of the question mark.

Symbols stands for


≥ either greater than or equal to ≤ either lesser than or equal to

34. ± {[5064 ÷ 8] – [1599 ÷ 3]} ≥ ?

(a) -101 (b) 101 (c) -100 (d) 100 (e) ±100

35. ± {[300 ÷ 40] + [5 × 18]} ≤ ?

(a) -97.5 (b) 95.7 (c) -95.7 (d) 97.5 (e) ± 97.5

36. 30% of 500 > ?

R.A.C.E




5

(a) 50% of 296 (b) 20% of 775 (c) 80% of 195 (d) 16% of 1000 (e) (13)2

37. (1500 ÷ 50) + √361 = (?)2

(a) (49)2 (b) 7 (c) √7 (d) 49 (e) -49

38. – 18 – 34 – 56 < ?

(a) – 108 (b) – 107 (c) – 109 (d) – 111 (e) – 110


a correct symbol. Based on the values on the right hand side and the left hand side of the question mark;

you have to decide which of the following symbols will come in place of the question mark.


(a) > (greater than) (b) = (equal to) (c) < (lesser than)

(d) ≥ (either greater than or equal to) (e) ≤ either lesser than or equal to

39. [(1678 – 654) + (399 ÷ 21)] ? [(167 – 98) × 8 – 509]

40. ,-546 − )4*� ÷ 8./ ? (15)2 × 8 – 1734.55

41. ± ,)56 + 87* + )12*� + 2/01 ? (34% of 50)

42. ± ,)15 × 4* + )30*� + 1/01 ? �√1764 − 11$

43. ��√5776 − √169#$ ? ± �5554 – 1585#01

Set 2

Directions (1-20): In each of the following questions two equations numbered I and II are

given. You have to solve both the equations and give your answer as

(a) If x > y (b) If x < y (c) If x ≥ y (d) If x ≤ y (e) If x = y (or) relationship can’t be determined

1. I. 3x – 2y = 12

II. 4x + 3y = -1

2. I. x3 = 8

II. y2 = 4

3. I. x2 – 5x + 6 = 0

II. y2 – 7y + 12 = 0

4. I. x – 3 = 18

II. y2 – 8 = 0

5. a = -2, b = 3

I. x = b2 – a3

II. y = b3 – a

6. I. 2x2 – 5x + 2 = 0

II. 3y2 + 10y + 3 = 0

7. I. x2 + 14x + 45 = 0

II. y2 + 24y + 143 = 0

8. I. 3x + 4y = 1

II. 4x + 3y = 6

9. I. x2 – 22x + 112 = 0

II. y2 – 23y + 120 = 0

10. I. x2 – x – 56 = 0

II. y2 + y – 56 = 0

11. I. x2 – 2x – 8 = 0

II. y2 + y – 6 = 0

12. I. x2 – 19x + 84 = 0

II. y2 + 4y – 77 = 0

13. I. 2x3 – 8x = 0

II. 3y3 – 12y = 0

14. I. x2 – 17x + 72 = 0

II. y2 – 3y – 28 = 0

15. I. x2 + 13x + 42 = 0

II. y2 + 11y + 30 = 0

16. I. x2 + 8x + 15 = 0

II. y2 + 8y + 12 = 0

R.A.C.E




6

17. I. x2 – 8x + 15 = 0

II. y2 – 14y + 48 = 0

18. I. x2 – 19x + 78 = 0

II. y2 – 20y + 96 = 0

19. I. x = √642 + √813

II. y = √520401

20. I. 2x2 + 7x – 30 = 0

II. 2y2 + 3y – 35 = 0

Set 3

Directions: (Q. NO.1 to 15): In each of the following questions two equations numbered I and

II are given. You have to solve both the equations and give your answer as

(a) If x > y (b) If x < y (c) If x ≥ y (d) If x ≤ y

(e) If x = y (or) relationship can’t be established

1. I. 2x2 + 5x + 3 = 0

II. Y2 – 4y – 5 = 0

2. I. 2x2 – 7x + 3 =0

II. 2y2 + 9y – 5 =0

3. I. x2 + x + 2 = 0

II. Y2 + 4y – 21 =0

4. I. x2 – 13x + 42 =0

II. Y2 – 19y + 88 =0

5. I. x2 – 10x + 21 =0

II. Y2 + y – 2 =0

6. I. x2 – 9x + 20 =0

II. Y2 – 8y + 12 =0

7. 2x2 + 7x – 4 =0

II. 2y2 – 11y + 5 =0

8. I. x2 + 7x + 12 =0

II. Y2 -3y + 2 =0

9. I. x2 – 3x + 2 =0

II. Y2 – 10y + 21 =0

10. I. 3x2 + 2x – 1 =0

II. Y2 – 5y + 4 =0

11. I. x – 3=5

II. 2y + 1 = 17

12. I. x2- 5x + 6 = 0

II. Y2 – 9y + 20 =0

13. I. x s the sum of roots of

2P2 + 3P – 1 =0

II. Y is the product of roots of

P2 – 7P – 2 =0

14. I. x2 – 4x – 4y =0

II. Y2 – 22y + 117 =0

15. I. x2 – 26x + 168 =0

II. Y2 – 21y + 108 =0

Answer key

Set 1

1. (b) 2. (b) 3. (c) 4. (b) 5. (b) 6. (e) 7. (e) 8. (e) 9. (b) 10. (c) 11. (a) 12. (d) 13. (d) 14. (c) 15. (e)

16. (c) 17. (c) 18. (d) 19. (b) 20. (c) 21. (b) 22. (c) 23. (c) 24. (e) 25. (b) 26. (b) 27. (a) 28. (a) 29. (a)

30. (b) 31. (e) 32. (a) 33. (c) 34. (c) 35. (c) 36. (a) 37. (b) 38. (b) 39. (c) 40. (a) 41. (e) 42. (e) 43. (d)

Set 2

1. (b) 2. (d) 3. (c) 4. (b) 5. (a) 6. (b) 7. (b) 8. (b) 9. (e) 10. (e) 11. (e) 12. (d) 13. (e) 14. (b) 15. (c)

16. (e) 17. (a) 18. (e) 19. (b) 20. (e)

Set 3

1. (d) 2. (c) 3. (e) 4. (b) 5. (a) 6. (e) 7. (d) 8. (b) 9. (b) 10. (b) 11. (c) 12. (b) 13. (a) 14. (d) 15. (c)

algebra rip v

Documents