Quantitative Aptitude Quiz - 34 | Bank Exams

1.The total population of a village is 5000. The number of males and females increases by 10% and 15% respectively and consequently the population of the village becomes 5600. What was the number of males in the village?

a) 2000

b) 2500

c) 3000

d) 4000

2.A, B and C enter into  a partnership in the ratio 7/2 : 4/3 : 6/5. After 4 months, A increases his share by 50%. If the total profit at the end of one year be Rs 21,600, then B's share in the profit is:

a) Rs 2100

b) Rs 2400

c) Rs 3600

d) Rs 4000

3.A sum of Rs 12,500 amounts to Rs 15,500 in 4 years at the rate of simple interest. What is the rate of interest?

a) 3%

b) 4%

c) 5%

d) 6%

4.Sound is said to travel in air at about 1100 feet per second. A man hears the axe striking the tree,11/5 seconds after he sees it strike the tree. How far is the man from the wood chopper?

a) 2197 ft

b) 2420 ft

c) 2500 ft

d) 2629 ft

5.X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?

a) 6 days

b) 10 days

c) 15 days

d) 20 days

Directions(6 - 10) : Each of the questions given below consists of a statement and/or a question followed by two statements labelled I and II. Read both the statements and give answer:

a) if data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

b) if data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

c) if data either in statement I or in statement II alone are sufficient to answer the question

d) if data even in both statements I and II together are not sufficient to answer the question

e) if data in both statements I and II together are necessary to answer the question

6.How long will the machine Y, working alone, take to produce x candles?

I. Machine X produces x candles in 5 minutes.

II. Machine X and Machine Y working at the same time produce x candles in 2 minutes.

7.A and B together can complete a task in 7 days. B alone can do it in 20 days. What part of the work was carried out by A?

I. A completed the job alone after A and B worked together for 5 days.

II. Part of the work done by A could have been done by B and C together in 6 days.

8.What percentage of Simple Interest per annum did Anand pay to Deepak?

I. Anand borrowed Rs 8000 from Deepak for four years

II. Anand returned Rs 8800 to Deepak at the end of two years and settled the loan.

9.What is the rate of Simple Interest?

I. The total interest earned was Rs 4000.

II. The sum was invested for 4 years.

10.What is the speed of the boat in still water?

I. It takes 2 hours to cover the distance between A and B downstream.

II. It takes 4 hours to cover the distance between A and B upstream.

Answers.

1.(c)
Let the number of males be x. Then, number of females = (5000 - x)
10% of x + 15% of (5000 - x)= 5600 - 5000
10x/100 + 15/100(5000 - x) = 600
10x+ 75000 - 15x = 60000
5x = 15000
x = 3000

2.(d)
Ratio of initial investments = 7/2 : 4/3 : 6/5 = 105 : 40 : 36
Let the investments be 105x, 40x and 36x
A : B : C = (105x x 4 + 150/100 x 105x x 8): (40x x 12) : (36x x 12)
= 1680x : 480x : 432x = 35 : 10 : 9
Hence B's share = 21600 x 10/54 = 4000

3.(d)
S.I = 15500 - 12500 = 3000
Rate = (100 x 3000)/(12500 x 4) = 6%

4.(b)
Distance = 1100 x 11/5 = 2420 feet

5.(b)
Work Done by X in 4 days = 4/20 = 1/5
Remaining work = (1 - 1/5) = 4/5
(X + Y)'s 1 day's work = (1/20 + 1/12) = 2/15
Now, 2/15 work is done by X and Y in 1 day
So, 4/5 work will be done by X and Y in (15/2 x 4/5)= 6 days
Hence total time taken = (6 + 4) = 10 days

6.(e)
I gives, Machine X produces x/5 candles in 1 min.
II gives, Machine X and Y produce x/2 candles in 1 min.
From I and II Y produces (x/2 - x/5) = 3x/10 candles in 1 min.
Hence time taken by Y to produce x candles = 10/3 min.
Thus, I and II both are necessary to get the answer.

7.(a)
B's 1 day work = 1/20
(A+B)'s 1 day work = 1/7
(A+B)'s 5 days work = 5/7
Remaining work = 1 - 5/7 = 2/7
2/7 work was carried by A.

II is irrelevant.

8.(e)
Let the rate be R% p.a
I gives, P = 8000 and T = 4 years
II gives, S.I = Rs(8800 - 8000) = Rs 800
R = (100 x 800)/(8000 x 4) = 2.5% p.a
Thus, I and II both are necessary to get the answer.

9.(d)
We know that, R = (100 x S.I)/(P X T)
Now, I gives, SI = Rs 4000
II gives, T = 4 years
But, P is unknown. So we cannot find R.
So, given data is insufficient to get R.

10.(d)
Let AB = x km
I. Speed downstream = x/2 km/hr.
II. Speed upstream = x/4 km/hr
Speed of boat in still water = 1/2(x/2 + x/4)km/hr
Thus, I and II both even do not give answer.