sbi-associate-po-2007

Total number of students in course D = 35% of 1200 = 35 * 12 = 420

Number of girls in course D = 30% of 800 = 30 * 8 = 240

So, number of boys in course D = 180

So, required ratio = 3 : 4

Consider the courses C and F:

Number of students in C = 5% of 1200 = 60

Number of girls in C = 2% of 800 = 16

Number of boys in C = 44

Number of students in F = 13% of 1200 = 156

Number of girls in F = 14% of 800 = 14 * 8 = 112

Number of boys in F = 156 - 112 = 44

So, the number of boys in C and F is the same.

Course E:

Number of students = 12% of 1200 = 144

Number of girls = 14% of 800 = 112

Number of boys = 32

112 / 32 = 3.5

So, the number of girls is 3.5 - 1 = 2.5 times more than the number of boys = 250% more than the number of boys.

We have total students as1200

And out of them 20% opted for A which is equal to

20*1200/100 = 240

and Among the girls ,30% opted for course A so, 30% of 800=30*800/100 =240 girls have opted for A .

which leaves 0 boys and hence, D is the answer.

Total no of girls in all the courses = 800

% of girls in course C = 2%

No. of girls in course C = $$\frac{2}{100}$$ * 800 = 16

Let us find the difference between consecutive terms of the series.
The numbers in the series are 10, 15, 24, 35, 54, 75, 100
And their differences are 5, 9, 11, 19, 21, 25. There is no obvious pattern in this.

But if we replace 35 with 37, we see the following numbers 10, 15, 24, 35, 54, 75, 100
And the differences are 5, 9, 13, 17, 21, 25 which is a symmetric pattern.

Hence, the term which is wrong in the series is 35

The given series is a Fibonacci series with each term equal to the sum of the previous two terms.

For example, 1 + 3 = 4
3 + 4 = 7
4 + 7 = 11
7 + 11 = 18
11 + 18 = 29
18 + 29 = 47

Hence, the incorrect term in the series is 27 (it should have been 29)

The numbers are based on the following pattern.

3*0.5 + 0.5 = 2
2*1 + 1 = 3
3*1.5 + 1.5 = 6
6*2 + 2 = 14
14*2.5 + 2.5 = 37.5
37.5*3 + 3 = 115.5

In the series given, we notice that 14 is replaced by 12 and hence the wrong term in the series is 12

$$32431 = 7 \times 4626 + 7^2$$
$$4626 = 6 \times 765 + 6^2$$
$$765 = 5 \times 148 + 5^2$$
Following the same pattern,
$$148 = 4 \times 33 + 4^2$$
$$33 = 3 \times 8 + 3^2$$
$$8 = 2 \times 2 + 2^2$$

32 is the wrong number here.

$$3-2 = 1 = 1^3$$
$$11-3 = 8 = 2^3$$
$$38 -11 = 27 = 3^3$$
$$102-38 = 64 = 4^3$$
$$229-102 = 127 \neq 5^3$$
But $$227-102 = 125 = 5^3$$
$$443-227 = 216 = 6^3$$

229 is the wrong number