Friday, October 31, 2014

Quant Quiz

Directions (1 – 5) In each of the these questions a number series is given. After the series a number is given followed by (a), (b), (c), (d) and (e). You have to complete the series starting with the given number following the sequence of original series and answer the questions that follow the series. 

1.
 What will come in place of (c)?
(1) 660
(2) 495
(3) 656
(4) 493
(5) None of these


2.

What will come in place of (e)?
(1) 374
(2) 373
(3) 382
(4) 383
(5) 385

3.

What will come in place of (d)?
(1) 35
(2) 33
(3) 43
(4) 45
(5) None of these

4.

What will come in place of (c)?
(1) 49
(2) 47
(3) 57
(4) 55
(5) 69

5.

What will come in place of (b)?
(1) 80
(2) 90
(3) 95
(4) 88
(5) None of these

Directions (6-10): Following line graph shows the percentage profit of two companies A and B in the period of 2000-2005.

6. If the expenditure of Company A and Company B is 20 lakhs and 15 lakhs respectively in 2000 then what is the sum of their income in the same year?
1) 36.4 lakhs
2) 40.4 lakhs
3) 44.6 lakhs
4) 48 lakhs
5) None of these

7. In year 2004 the percentage profit of Company B is what percentage of percentage profit of Company A?
1) 120%
2) 125%
3) 136%
4) 150%
5) None of these

8. If in year 2003 the expenditure of Company A and Company B are 36 lakhs and 40 lakhs respectively then what is the average profit they gain?
1) 5 lakhs
2) 6 lakhs
3) 7 lakhs
4) 7.5 lakhs
5) 8.5 lakhs

9. If the income of Company A in 2001 and Company B’s in 2001 is 30 lakhs each then what is the total expenditure of Company A in 2001 and Company B in the same year?
1) 56 lakhs
2) 52 lakhs
3) 50 lakhs
4) 49 lakhs
5) 48 lakhs

10. If the income of Company A in year 2002 is 80 lakhs then what is the expenditure of Company B in the same year?
1) 76 lakhs
2) 72 lakhs
3) 70 lakhs
4) 64 lakhs
5) Cannot be determined


ANSWERS
Solutions (1-5)

1.
(2) First number series
4 x 5 + 5 = 25
25 x 4 + 4 = 104
104 x 3 + 3 = 315
315 x 2 + 2 = 632
Therefore: 7 x 5 + 5 = 40 (a)
40 x 4 + 4 = 164 (b)
164 x 3 + 3 = 495 (c)

2.
(4) First number series
7 x 2 + 1 = 15
15 x 2 + 1 = 31
31 x 2 + 1 = 63
Therefore:
11 x 2 + 1 = 23 (a)
23 x 2 + 1 = 47 (b)
47 x 2 + 1 = 95 (c)
95 x 2 + 1 = 191 (d)
191 x 2 + 1 = 383 (e)

3.
(1) First number series
9 x 0.5 + 0.5 = 4.5 + 0.5 = 5
5 x 1 + 1 = 5 + 1 = 6
6 x 1.5 + 1.5 = 9 +1.5 = 10.5
Therefore:
17 x 0.5 + 0.5 = 8.5 + 0.5 = 9 (a)
9 x 1 + 1 = 9 + 1 = 10 (b)
10 x 1.5 + 1.5 = 15 +1.5 = 16.5 (c)
16.5 x 2 + 2 = 33 + 2 = 35 (d)

4.
(3) First number series
3 x 1 + 12 = 3 + 1 = 4
4 x 2 + 22 = 8 + 4 = 12
12 x 3 + 32 = 36 + 9 = 45
Therefore,
5 x 1 + 12 = 5 + 1 = 6 (a)
6x 2 + 22 = 12 + 4 = 16 (b)
16 x 3 + 32 = 48 + 9 = 57 (c)
5.
(5) First number series
5 x  6  - 6 = 30 – 6 = 24
24 x 5  - 5 = 120 – 5 = 115
115 x 4  - 4 = 460 – 4 = 456
Therefore,
4 x 6  - 6 = 24 – 6 = 18 (a)
18 x 5  - 5 = 90 – 5 = 85 (b)

Solutions (6 – 10)

6. (3);
In 2000,  Profit of A = 30%
Profit of B = 24%
For A, Profit = (Expenditure * Profit%)/100
= (20*30)/100 = 6 lakhs
Income = 20 + 6 = 26 lakhs
For B, Profit = (15*24)/100 = 3.6 lakhs
Income = 15 + 3.6 = 18.6 lakhs
Total = 26 + 18.6 = 44.6 lakhs

7. (4);
In 2004, Percentage profit of A = 16%
Percentage profit of B = 24%
% = (15*24)/100  = 150%

8. (4);
In 2003, Percentage profit of A = 25%
Expenditure of A = 36 lakh
Profit of A = (25*36)/100 = 9
In 2003, Percentage profit of B = 15%
Expenditure of B = 40 lakhs
Profit of B = (40*15)/100 = 6
Average = (9+6)/2 = 7.5 lakhs

9. (4);
In 2001, Percentage profit of A = 25%
Income of A = 30 lakhs
Expenditure of A = (30*100)/125 = 24lakhs
In 2001, Percentage profit of B = 20%
Income of B = 30 lakhs
Expenditure of B =  (30*100)/120 = 25 lakhs
Total Expenditure  = 49 lakhs

10. (5);
By given data we cannot find the expenditure of B in 2002.

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