Quant Quiz

Directions (1-5): What should come in place of question mark (?) in the following number series?

Q1.  9      17        65         385        3073      ?

(a) 40704

(b) 73251

(c) 65506

(d) 38521

(e) 30721

Q2.  25     241    584      1096     1825     ?

(a) 2625

(b) 2525

(c) 2725

(d) 2825

(e) 2025

Q3.  50        25       37.5       93.75     328.125      ?

(a) 1656.6525   

(b) 1476.5625   

(c) 1576.6225

(d) 2025.5625   

(e) None of these

Q4.   468        516        984      1500     2484       ?

(a) 3984

(b) 4884

(c) 2784

(d) 2824

(e) 3874

Q5.   11         30        87    258    771        ?

(a) 2610

(b) 2450

(c) 2310

(d) 2730

(e) 2510

Q6. A car starts running at the speed of 30 km per hour. The speed of the car increases by 2 km per hour at the end of every one hour. What will be the distance covered at the end of ten hours from the start of the journey?

(a) 410 km           

(b) 390 km          

(c) 520 km

(d) 630 km

(e) None of these

Q7. Gita started a business investing Rs. 60000. After six months Kanchan joined her with Rs. 90000. After another six months Rekha also joined them with Rs. 1.35 lakh. The profit earned at the end of 3 years when Gita started the business should be distributed among Gita, Kanchan and Rekha in the ratio of

(a) 4 : 5 : 6           

(b) 6 : 7 : 8           

(c) 6 : 8 : 7

(d) 6 : 5 : 4           

(e) None of these

Q8. The cost of 26 tables and 6 chairs is Rs. 13800 and the cost of 13 tables and 7 chairs is Rs. 14200. What is the cost of 10 chairs?

(a) Rs. 18200     

(b) Rs. 18250     

(c) Rs. 17400

(d) Can't be determined

(e) None of these

Q9. The difference between a two-digit number and the number obtained by interchanging the digits is 27. The sum of the digits is 15 and the digit at tens place is bigger than the digit at the unit’s place. What is the two-digit number?

(a) 87    

(b) 96    

(c) 78

(d) 69    

(e) None of these

Q10. In an examination, Arun scored 35 marks less than Rahul. Rahul scored 55 more marks than Monika. Rohit scored 85 marks, which is 10 marks more than Monika's. Raju scored 61 marks less than the maximum marks of the test. What approximate percentage of marks did Raju score in the examination, if he got 44 marks more than Arun?

(a) 80%

(b) 75%

(c) 70%

(d) 62%

(e) None of these

Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer

Q11.

x²-82x+781=0

y²=5041

(a) if x > y

(b) if x < y

(c) if x ≥ y

(d) if x ≤ y

(e) if x = y or relation cannot be established between 'x' and 'y'.

Q12.

9x²+18x+9=0 

y²-3y+2=0  

(a) if x > y

(b) if x < y

(c) if x ≥ y

(d) if x ≤ y

(e) if x = y or relation cannot be established between 'x' and 'y'.

Q13.

77x²+58x+8=0 

42y²+59y+20=0 

(a) if x > y

(b) if x < y

(c) if x ≥ y

(d) if x ≤ y

(e) if x = y or relation cannot be established between 'x' and 'y'.

Q14.

81x²-9x-2=0

56y²-13y-3=0

(a) if x > y

(b) if x < y

(c) if x ≥ y

(d) if x ≤ y

(e) if x = y or relation cannot be established between 'x' and 'y'.

Q15.

99x²+149x+56=0

156y²+287y+132=0

(a) if x > y

(b) if x < y

(c) if x ≥ y

(d) if x ≤ y

(e) if x = y or relation cannot be established between 'x' and 'y'.

Solutions

1. Ans.(e)

Sol. The series is ×2-1, ×4-3, ×6-5, ×8-7, ×10-9,…..

2. Ans.(d)

Sol. The series is +63 , +73, +83 , +93, +103……..

3. Ans.(b)

Sol. The series is 

50×0.5=25, 

25×1.5=37.5, 

37.5 ×2.5 =93.75, 

93.75×3.5=328.125, 

328.125×4.5=1476.5625

4. Ans.(a)

Sol. 468+516=984; 

516+984=1500; 

984+1500=2484; 

1500+2484=3984

5. Ans.(c)

Sol. The series is 

11×3-3=30, 

30×3-3=87, 

87×3-3=258, 

258×3-3=771, 

771×3-3=2310

6. Ans.(b)

Sol. As the distance is covered in Arithmetic Progression,

Sum= n/2 [2a+(n-1)d]

[Here, a=30, d=2, n=10]

=10/2 [2×30+(10-1)2]

=5×(60+18)=5×[78]=390 km

7. Ans.(a)

Sol. Reqd. Ratio of Profit

       Gita       : Kanchan    :    Rekha

60000×36 : 90000×30 : 135000×24

=4 : 5 : 6

8. Ans.(b)

Sol. Cost of 26T+6C=Rs. 13800………(i)

Cost of 13T+7C=Rs. 14200……….(ii)

Now, equation (ii) ×26-equation (i) ×13

 338T + 182C= 369200

 338T +   78C=179400

–  –         – 

104C = 189800

∴ C=189800/104=1825

∴ Cost of chair=1825×10=Rs.18250

9. Ans.(b)

Sol. (10x – y) – (10y + x) = 27

x – y = 3

x + y = 15

So, x = 9

y = 6

Number = 96

10. Ans.(c)

Sol. Rohit’s marks=85

Monika’s marks=85-10=75

Rahul’s marks=75+55=130

Arun’s marks=130-35=95

Raju’s marks=95+44=139

Total maximum marks=139+61=200

Required percentage marks of Raju=139/200×100=69.5%≈70%

11. Ans.(e)

Sol. x = 11, 71 y = -71, 71

So, relation cannot be established between 'x' and 'y'.   

12. Ans.(b)

Sol. x = -1,  y = 1, 2

So, x < y 

13. Ans.(c)

Sol. x = -4/7, -2/11 y = -5/7, -4/7

So, x ≥ y

 

14. Ans.(e)

Sol. x = -1/7, 7/8 y = -1/9, 2/9

So, relation cannot be established between 'x' and 'y'.   

15. Ans.(b)

Sol. x = 13/18, 8/11  y = 13/16, 12/13

So, x < y