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Worksheets

APTI

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

If 0.75 : x :: 5 : 8, then x is equal to

a)

1.12

b)

1.20

c)

1.25

d)

1.30

2.

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

a)

3 : 3 : 10

b)

10 : 11 : 20

c)

23 : 33 : 60

d)

Cannot be determined

3.

If Rs. 782 be divided into three parts, proportional to 

1/2 : 2/3 : 3/4

then the first part is:

a)

Rs. 182

b)

Rs. 190

c)

Rs.196

d)

Rs.204

4.

Two cars pass each other in opposite direction. How long would they take to be 500 km apart?

I.  The sum of their speeds is 135 km/hr.

 II.  The difference of their speed is 25 km/hr.

a)

I alone sufficient while II alone not sufficient to answer

b)

II alone sufficient while I alone not sufficient to answer

c)

Either I or II alone sufficient to answer

d)

Both I and II are not sufficient to answer

e)

Both I and II are necessary to answer

5.

What is the cost painting the two adjacent walls of a hall at Rs. 5 per m2 which has no windows or doors?

I.  The area of the hall is 24 sq. m.

II.  The breadth, length and height of the hall are in the ratio of 4 : 6 : 5 respectively.

 III.  Area of one wall is 30 sq. m.

a)

I only

b)

II only

c)

III only

d)

Either I or III

e)

All I, II and III are required.

6.

It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:

a)

2 : 3

b)

3 : 2

c)

3 : 4

d)

4 : 3

7.

Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

a)

3/20

b)

29/34

c)

47/100

d)

13/102

8.

If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?

a)

Sunday

b)

Saturday

c)

Tuesday

d)

Wednesday

9.

On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

a)

Sunday

b)

Thursday

c)

Tuesday

d)

Friday

10.

How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

a)

5600

b)

6000

c)

6400

d)

7200

11.

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.

a)

I alone sufficient while II alone not sufficient to answer

b)

II alone sufficient while I alone not sufficient to answer

c)

Either I or II alone sufficient to answer

d)

Both I and II are not sufficient to answer

e)

Both I and II are sufficient, but neither statement is alone sufficient

12.

A man purchased a cow for Rs. 3000 and sold it the same day for Rs. 3600, allowing the buyer a credit of 2 years. If the rate of interest be 10% per annum, then the man has a gain of:

a)

0%

b)

5%

c)

7.5%

d)

10%

13.

What is the speed of the boat in still water?

I.  The speed downstream is 12 kmph.

II.  The speed upstream is 4 kmph.

 III.  In a to and fro journey between two points, the average speed of the boat was 6 kmph.

a)

I and II only

b)

All I, II and III

c)

III, and either I or II

d)

Any two of the three

e)

None of these

14.

4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

a)

4

b)

8

c)

12

d)

16

15.

Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share profit?

I.  Total amount invested in the business in Rs. 22,000.

II.  Profit earned at the end of 3 years is 3/8 of the total investment.

 III.  The average amount of profit earned per year is Rs. 2750.

a)

I or II or III

b)

Either III only, or I and II together

c)

Any two of the three

d)

All I, II and III are required.

e)

None of these

16.

[1 / 1 + a(n - m) ] + 1 / [1 + a(m - n) ] = ?

a)

0

b)

1/2

c)

1

d)

am + n

17.

At what time will the train reach city X from city Y?

I.  The train crosses another train of equal length of 200 metres and running in opposite directions in 15 seconds.

II.  The train leaves city Y at 7.15 a.m. for city X situated at a distance of 558 km.

 III.  The 200 metres long train crosses a signal pole in 10 seconds.

a)

I only

b)

II only

c)

III only

d)

II and III only

e)

All I, II and III are required.

18.

The difference between compound interest and simple interest on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the rate of interest per annum?

a)

8%

b)

10%

c)

12%

d)

Cannot be determined

e)

None of these

19.

A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:

a)

Rs.2000

b)

10,000Rs.

c)

Rs.15,000

d)

Rs.20,000

20.

Statements: All hill stations have a sun-set point. X is a hill station.

Conclusions:

I. X has a sun-set point.

II. Places other than hill stations do not have sun-set points.

a)

Only conclusion I follows

b)

Only conclusion II follows

c)

Either I or II follows

d)

Neither I nor II follows

e)

Both I and II follow