SNAP 2013

Let the five numbers be a, b, c, d, e in the given order.

a+b+c+d+e = 61*5=305    ----- Eq 1

a+c = 69*2 = 138

b+d = 69*2 = 138

From eq 1: e=305-(138+138) =305-276 =29

B is the correct answer.

Let the monthly income of Kajal be 100k

It is given that she spent 55% of the monthly income on grocery, clothes and education in the ratio of 4 : 2 : 5 respectively

i.e she spent 55k on grocery, clothes and education in the ratio of 4 : 2 : 5 respectively.

Amount spent on clothes = $$\ \frac{\ 2}{11}\times\ 55k$$

10k = 5540 (given)

So 100k = 55400

Monthly income = 100k = 55400

A is the correct answer.

Simple Interest = $$\ \frac{\ P\cdot T\cdot r}{100}$$ where P is the principal, T is the time period and r is the rate of interest.

The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is Rs.6500

6500=$$\ \frac{\ P\times\ 8\times\ 13}{100}$$

P = Rs. 6250

Compound Interest on 6250 for 2 years at 8% rate of interest = 6250$$\left(1+\ \frac{\ 8}{100}\right)^2$$- 6250

= Rs. 1040

A is the correct answer.

Let the work done by a woman in one day = x units

The work done  by a man in one day = 2x units

8 men and 4 women together can complete a piece of work in 6 days.

Total work = (8*2x+4*x)6 = 120x units

Amount of work done by 8 men and 4 women in 2 days = (8*2x+ 4*x)2 = 40x units

The remaining 80x units will be done by 8 women and 4 men

Number of days taken by 8 women to complete 80x units of work = $$\ \frac{\ 80x}{16x}$$

=5 days

A is the correct answer.

Let r be the radius of the circular plot

Perimeter of the plot = $$2\pi\ r$$

Cost of fencing the circular plot at Rs 15 per meter =  $$2\pi\ r$$ *15

$$2\pi\ r$$ *15 = 3300

r = 35m

Cost of flooring per sq m = Rs 100

Area  of the circular plot = $$\pi\ r^2$$ 

= 3850 sq m

Cost  of flooring the circular plot = 3850*100 = Rs.385000

A is the correct answer.

Marks obtained by Rohan =75

Marks obtained by Sonia = 65

Marks obtained by Rohit = 65+45=110

Marks obtained by Raman = 110-25 = 85

Marks obtained by Ravi = 85+34 = 119

Maximum Marks = 119+50 = 169

Required percentage = $$\ \frac{\ 119}{169}\times\ 100$$

=70%

B is the correct answer.

Speed of the aeroplane = 756 km/h.

It is given that twice the distance covered by the aeroplane in 9 hrs is equal to the distance covered by the helicopter in 48 hrs.

Distance covered by the aeroplane in 9 hrs = 756*9 = 6804 km.

Speed of the helicopter = $$\ \frac{2\times\ 6804\ }{48}$$ = 283.5

Distance covered by the helicopter in 18 hrs = 283.5*18 = 5103 km.

D is the correct answer.

The average weight of 19 men is 74 kgs 

The average weight of 38 women is 63 kgs

The average weight of all the men and women together = $$\ \frac{\ 74\times\ 19+63\times\ 38}{19+38}$$

=$$\ \frac{\ 3800}{57}$$

= 66.66 kg 

=approx 67 kg

D is the correct answer.

Let the total monthly income of Mr Giridhar be 100g

The proportion of income he spends on household items = 50% i.e 50g

Of the remaining 50%, the proportion of income he spends on transport, entertainment  and sports are 50%, 25%, 10% 

15% of 50g = Amount saved 

7.5g = 900(given)

100g = 12000

The monthly income of Mr Giridhar = Rs.12000

Let a, b, c be the amount of work done by A, B, C in 1 day and the total work be W units

(a+b) 20 = (b+c) 30 = (a+c) 40 = W

(a+b) 2 = (b+c) 3 = (a+c) 4 

2a+2b = 3b+3c

b = 2a-3c

2a+2b = 4a+4c

2b = 2a+4c

2(2a-3c) = 2a+4c

2a=10c

a=5c

Number of days taken by A to complete the work = $$\ \frac{\ W}{a}$$

Number of days taken by C to complete the work = $$\ \frac{\ W}{c}$$

Required ratio = $$\ \frac{\ \ \frac{\ w}{a}}{\ \frac{\ w}{c}}$$

= 1:5

D is the correct answer.