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QUANT QUIZ

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

1).   9      17        65         385        3073      ?
1) 40704
2) 73251
3) 65506
4) 38521
5) 30721

2).  25     241    584      1096     1825     ?
1) 2625
2) 2525
3) 2725
4) 2825
5) 2025

3).  50        25       37.5       93.75     328.125      ?
1) 1656.6525   
2) 1476.5625   
3) 1576.6225
4) 2025.5625   
5) None of these

4).   468        516        984      1500     2484       ?
1) 3984
2) 4884
3) 2784
4) 2824
5) 3874

5).   11         30        87    258    771        ?
1) 2610
2) 2450
3) 2310
4) 2730
5) 2510

6. 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?
1)410 km           
2) 390 km          
3) 520 km
4) 630 km
5) None of these

7. 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
1) 4 : 5 : 6           
2) 6 : 7 : 8           
3) 6 : 8 : 7
4) 6 : 5 : 4           
5) None of these

8. 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?
1) Rs. 18200     
2) Rs. 18250     
3) Rs. 17400
4) Can't be determined
5) None of these

9. 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 units place. What is the two-digit number?
1) 87    
2) 96    
3) 78
4) 69    
5) None of these

10. 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?
1) 80%
2) 75%
3) 70%
4) 62%
5) None of these

Answers:

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

2. (4)
The series is +6^3+7^3+8^3+9^3+〖10〗^3,……..

3. (2)
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. (1)
468+516=984; 516+984=1500; 984+1500=2484; 1500+2484=3984 

5. (3)
The series is 11×3-3=30, 30×3-3=87, 87×3-3=258, 258×3-3=771, 771×3-3=2310

6. (2)
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. (1)
Reqd. Ratio of Profit
       Gita       : Kanchan    :    Rekha
60000×36 : 90000×30 : 135000×24
=4 : 5 : 6

8. (2)
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. (2)

10. (3)
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%

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