The most ardous and tricky task while solving basic arithmatic qtnz is to understand statement and make equation. The equation once made after reading statement, almost 90% correct answer is solicited. All candidate appearing in SBOT (15th batch) can make the practice of followings and solver r requested to explain the answers with equations and even provide the solution where reverse calculation is required so that NALAYIQ man like me can enhance the concept to solve such tricky qtnz.

Question 1: One quality of wheat at Rs.9.30 per kg is mixed with another quality at a certain rate in the ratio 8:7.If the mixture so formed be worth Rs.10 per kg ,what is the rate per kg of the second quality of wheat?

1. Rs.10.30
2. Rs10.60
3. Rs.10.80
4. Rs.11
5.
Correct Answer: 3.



Question 2: An equilateral triangle of sides 3 inch each is given. How many equilateral triangles of side 1 inch can be formed from it

1. 9
2. 4
3. 6
4. 7
5.
Correct Answer: 1.



Question 3: A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?

1. 8/9 days
2. 4 days
3. none of these
4. can't say
5.
Correct Answer: 1.



Question 4: A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?

1. 11
2. 12
3. 13
4.
5.
Correct Answer: 1.


Question 5: A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze?

1. 38.5 sq.m
2. 155 sq.m
3. 144 sq.m
4.
5.
Correct Answer: 1.


Question 6: Sequence
A number of bacteria are placed in a glass. One second later every bacterium divides in two, the next second each of the resulting bacteria divides in two again. After one minute the glass is full. When was the glass half-full?

1. 59 seconds
2. 30 seconds
3. 40 seconds
4. Can't be determined
5.
Correct Answer: 1.


Question 7: An article sold at a profit of 20% if both the c.p & s.p were to be Rs.20/- the profit would be 10% more. What is the c.p of that article?

1. 1 % loss
2. 2 % loss
3. 8 % loss
4. None of the above
5.
Correct Answer: 1.


Question 8: A contractor undertook to do a certain piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?

1. 5
2. 6
3. 7
4. 8
5. 9
Correct Answer: 1.



Question 9: A man can row upstream at 7k/h and downstream at 10 k/h.Find man's rate in still water and the rate of current.

1. 8.5,1.5
2. 10.5,2.5
3. 11,12
4. 13,14
5. None of these
Correct Answer: 1.


Question 10: Two pipes A and B can fill a tank in 6 hours and 4 hours respectively. If they are opened on alternate hours and if pipe A is opened first, in how many hours, the tank shall be full?

1. 4
2. 4(1/2)
3. 5
4. 5(1/2)
5.
Correct Answer: 3.


Question 11: Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?

1. 9 & 9 apples per tree.
2. 11 & 9 apples per tree.
3. 11 & 11 apples per tree.
4. 12 & 9 apples per tree.
5.
Correct Answer: 2.





Question 12: You are asked to paint a cube in such a way that no two adjacent faces of the cube have the same colour. A minimum of how many different coloured paints are required to do this?

1. 6
2. 5
3. 4
4. 3
5.
Correct Answer: 4.



Question 13: A car is filled with four and half gallons of fuel for a round trip. If the amount of fuel taken while going is 1/4 more than the amount taken for coming, what is the amount of fuel consumed while coming back?

1. 2.5 gallons
2. 2.2 gallons
3. 2 gallons
4. 3 gallons
5.
Correct Answer: 3.




Question 14: A starts from a place at 11.00 am and travels at a speed of 4 kmph , B starts at 1.00 pm and travels with speeds of 1 kmph for 1 hr , 2 kmph for the next hr , 3 kmph for the next hr and so on. At wht time will B catch up with A ?

1. 100 PM Same Day
2. 110 PM Same Day
3. 80 PM Same Day
4. 8:48 PM Same Day
5. 9:48 PM Same Day
Correct Answer: 5.


Question 15: Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?

1. 167 min
2. 347 min
3. 160 min
4. 120 min
5.
Correct Answer: 1.


Question 16: If 1 st January, 1991 was on Thursday, 31st December 1997 would be

1. Thursday
2. Tuesday
3. Saturday
4. none
5.
Correct Answer: 1.


Question 17: Find the smallest number in a GP whose sum is 38 and product 1728

1. 8
2. 9
3. 10
4.
5.
Correct Answer: 1.


Question 18: Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km / hr and 30 km / hr respectively. Find the time taken by the slower train to pass the driver of the faster one.

1. 12 sec
2. 24 sec
3. 48 sec
4. 60 sec
5.
Correct Answer: 3.


Question 19: What percent of 5/8 is 8/5?

1. (A) 100
2. (B) 64
3. (C) 256
4. (D) 1024
5.
Correct Answer: 3.


Question 20: In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

1. 11760
2. 12760
3. 13450
4. 12000
5.
Correct Answer: 1.

I am shareing some solns

Q1

8*9.30 per kg + 8* x =15*10 per kg
x=10.8

Q2

I made a triangle and did by just a basic technoque u can make a triangel of 1 inc side on each corner of 3 inch triange and make three layer first will contain 1 and second wil 3 and third will contain 6 triangles


Q3

for A work/8
for B work3/8
for C work5/8
work = time * (work/8 + work3/8 + work/8)
work will cancel out and time will be 8/9 using sime arithmatc

Q4

Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?

Mr.Brown 8/6 = 1.333 house means one and .333 second house

Mr.Black 6/8= .75 means second house so .08333 third house house
remaining third house 1-.08333=.91667

Mr.Blue time/12=.91667
time =11

Q8
THIS IS simple
as 100 for 35 days will do same work and additional 100 willbe required for 5 days so for 40 days additional 5 days will be required for fixed 100 workers

Q10 i did this by not an appropriate way

(1/6 + 1/4 + 1/6 + 1/4 + 1/6) = 1 so 5 hrs required

Q12 3 two for 4 side and one for top and bottom

Q12 4.5 gallon =(x+1/4x) + x (x for return)
x= 2 gallon


Q14 a has 8km lead so
8km+4kmph*time = sum(n+1)
8kmph+ 4*8 =1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
36 km both have covered same distance
so 8 hrs for B and 9pm so closeest ans is 9:48pm

Q15 (1/20 + 1/ 30 - 1/15) x=1
so x= 60 for three 3*x =180 min
and closest answre is 167min

Q18
make one stationay and caluate time for 1000m for one
do same for other train
and take the time difference my ans is 40 and closest to 48

Q19
(5/8)/(8/5) *100 = 256%

Q20
do combination
10!/((10-6)!(6!)) * (8!)/(8-5)! (5!)
ans is 11760

if u anyone find any problem he can ask

__________________
Fahad

@fahad khan

Fahad yar, althrough u hv made equation, but without further explanation/elaboration of equation u hv written direct answers. Your equation does not provide the writen answer in sum qtnz or perhaps im not getting it rite. Look as below and make me understand:-

Solution.
74.4 + 8x = 150
8x=150-74.4

x=75.6/8= 9.45 (wrong ansr accrding to equation)

explain it further. I dont understand how work will cancel and which arithmatic is to be used u r reffering in this qtz. Sorry for inconvience. Im basically weak in math.

How u hv worked out lead of 8 km directly? explain

How difference of 40 is calculated?explain pl

Q1
i made mistake while writing equation correct is
8*9.30 per kg + 7* x =15*10 per kg
8 is in kg and multiply by 9.3 gives price for that sample
7 kg multiplied by its price/kg (which is unknowm) gives its price
adding it gives total price which should be equal to price of mixture which is 7+8=15 kg and multiplied by 10 per kg to give its price
so x=10.8

Q3
work rate is work/time
time for A 8
for A work/8 this is work rate of A
time for B 8/3
for B work3/8 this is work rate of B
time for C 8/5
for C work5/8 this is work rate of C
so if they work together work rate would add up
and multiply by time give sthe work
so
work = time * (work/8 + work3/8 + work5/8)
work = time*work*(1/8 + 3/8 + 5/8)
work will cancel out and time will be 8/9 using some arithmetic
time = 1 / ( 1/8 + 3/8 + 5/8 )
time = 1/ ( (1 + 3 + 5) / 8 )
time=8/9


Q14
they will meet when they will cover same distance so
A covers distance from 11 am to 1pm when Bstarts 4km/h * 2(hr) = 8km
so A has 8km lead so i have Add 8km to A

A B
8km+4kmph*time = sum(time+1)km/hr *1hr
they will equal when time is 8 hr
B is changing speed so each hr it covers 1km more distance then previous one
A(8hr) B(8hr)
8kmph+ 4*8 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8
1km during first hr
2km during second hr
so on...
8km during 8th hr
36 km both have covered same distance
so 8 hrs for B and 9pm so closest ans is 9:48pm

Q18
make one stationary and caluate time for 1000m for one then do same for second (1000m because 500m when it comes equal and 500m when end of one cross the second)
time for slow train is 1000m/45(km/hr)=0.02222 hr = 0.02222*60*60 = 80sec
time for fast is 1000m/30(km/hr)=0.0333 hr = 0.03333*60*60 = 120sec

and take the time difference my ans is 120-80=40 and closest to 48
as difference because both are moving in opp direction and time of crossing will reduce

__________________
Fahad