aptitude test Flashcards

1
Q

12 is 40% of

A

30 (12/.40)

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2
Q

If a product sells at $500 and offers a discount of 35%, what is the discount price?

A

325 [(500 * .35)= 175 ; 500 - 175]

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3
Q

If 2/3 is 4, how much is 3?

A

54/3 (Convert to fractions 2/3 is 12/3(4), how much is 9/3(3)? 2/3 x 6 = 12/3, then 9/3 x 6 = 54/3 or 18.

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4
Q

What number is 63 less times than 8?

A

9 = 9 X 8= 72 - 63 = 9

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5
Q

If there are 1600 units and the unit production increased 62%, how much units are there available?

A

1600 X 1.62 = 2592

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6
Q

How many minutes is it before 12 noon if 32 minutes ago it was as three times as many minutes past 9 am?

A

37 minutes
12 noon - 37 minutes = 11.23
11.23 less 32 minutes = 10.51
9 am + 111 minutes (37 X3) = 10.51

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7
Q

If a company produces 125000 units, what % increase must it experience if it wants to produce 200000 units?

A

60% (200,000 / 125,000) -1

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8
Q

At the Friday morning market a grocer sold 720 units of fruit consisting o a mixture of grapefruits, oranges and pears in the ratio 3:4:2 respectively. How many of each fruit did the grocer sell?

A
240 grapefruits, 320 oranges and 160 pears. 
720 / 9(3+4+2)       = 80
grapefruits 80 X 3 = 240
oranges = 4 X 80 = 320
pears =  2 X 80    = 160
                                 720
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9
Q

FV: If you deposit 10,000 in a bank that pays 10% interest annually, how much will be in your account after 5 years

A

10000*(1.1)^5 = 16105.1

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10
Q

PV: What is the present value of a security that will pay $5,000 in 20 years if securities of equal risk pay 7% annually?

A

1292.08 5000 / (1.07)^20

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11
Q

The yellow cab company charges $1.5 for the first mile, and 90 cents for each mile thereafter. A passenger has $20. He plans to give the driver a $2 tip. How many miles can he travel with the remaining $18?

A

19 miles (18 - 1.5) =16.5 / .90 = 18.33 +1 = 19.33

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12
Q

Over the course of 4 consecutive nights, a bat ate 1050 mosquitoes. Each night the bat ate 25 more mosquitoes than the previous night. How many mosquitoes did it eat each night?

A

225,250,275,300

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13
Q

A farmer sells 196 potatoes to a grocer. The grocer divides the potatoes into 5-pound bags and 2-pound bags. When he was finished, the grocer found that he had the same number of 5-pound bags and 2-pound bags. How many bags of each size did he use?

A

28 5 pound bags and 28 2 pound bags

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14
Q

Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

A

(check and modify) Let the present age of P and Q be 3x and 4x respectively.

Ten years ago, P was half of Q in age

=> (3x – 10) = ½ (4x – 10)

=> 6x – 20 = 4x – 10

=> 2x = 10

=> x = 5

total of their present ages = 3x + 4x = 7x = 7 × 5 = 35

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15
Q

When James turns 9, his height is 1.20 m.
His height increases by 0.06 m a year during the next 5 years.
What will James height be when James turns 14?

A

The correct answer is 1.50 m. This can be calculated as follows: 1.20 m + (5 years * 0.06 m/year) = 1.20 m + 0.30 m = 1.50 m. Below 3 tests with problems are provided that are divided over 3 degrees of difficulty. You are allowed to use a calculator and a scrap paper with these tests.

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16
Q

My sister Suzie says that in two years she will be twice as old as she was four years ago. How old is my sister Suzie now?

A

10
10 + 2 = 12
10 - 4 = 6

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17
Q

Jo’s age plus Mo’s age is 27
Jo’s age plus t’s age is 38
Mo’s age plus T’s age is 33
How old are Mo, and J

A

Jo 16
Mo 11
T 22

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18
Q

If Bill’s age plus Jim’s age equals 121; and
Bill’s age plus Arthur’s age equals 112; and
Jim’s age plus Arthur’ age equals 57;
How old are Bill, Jim and Arthur?

A
Bill = 88
Jim= 33 
Arthur = 34
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19
Q

Harry has twice as many as Barry. Altogether they have 207. How many each have Harry and Barry?

A

Harry 138, Barry 69

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20
Q

James earns € 15 an hour. He works 8 hours a day from Monday to Friday. He works 4 hours on Saturdays. How much does he earn a week?

A

660 [(8X5) +4] X 15

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21
Q

indiabix.com(profit and loss) Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:

A

5 5/11% Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.

Selling Price (S.P.) = Rs. 5800.

Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.

(300/5500) X100 = 5 5/11%

22
Q

(Finding interest rate TVM) Your parents will retire in 18 years. They currently have 250,000 and they think they will need 1,000,000 at retirement. What annual interest rate must they earn to reach their goal, assuming they don’t save additional funds?

A

1,000,000 = 250,000(1+?)^18
1,000,000/250,000=(1+?)^18
?

23
Q

(profit and loss)The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A
16   Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x.
S.P. of x articles = Rs. 20.
Profit = Rs. (20 - x).
(20-x)/x)(100)=25
2000 - 100x = 25x
125x = 2000
x = 16
24
Q

(profit and loss)In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

A
70%
Let C.P.= Rs. 100. Then, Profit = Rs. 320, S.P. = Rs. 420.
New C.P. = 125% of Rs. 100 = Rs. 125
New S.P. = Rs. 420.
Profit = Rs. (420 - 125) = Rs. 295.

(295/420)X100==70%

25
Q

((profit and loss) A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

A

5

26
Q

(chain rule) 3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?

A

12 (3 x 2 x 8) /4

27
Q

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

A

13 (39 x 5 x 12)/(30 x 6)

28
Q

What is the ratio of 12 minute to 1 hour ?

A

1/5 (convert the hour to minutes).

29
Q
Youssef lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work. If it takes him exactly ten minutes more to walk to work than to ride his bicycle, then x equals (GMAT): 
Multiple choice:
4
7
10
15
20
A

As it takes Yousseff 10 more minutes to walk than bike….IF Yousseff lives 15 blocks from his office, it would take him 15 minutes to walk at 1 block per minute and 5 minytes to bike at 3 blocks per minute. That’s a difference of 10=15-5

This involved backsolving, this is an option where you can plug one of th multiple choice answers into the question ste.

30
Q

(very special)In a family, each daughter has the same number of brothers as she has sisters and each son has as twice as many sisters as he has brothers. How many sons are there in the family?

A

3 Let d and s represent the number of daughters and sons respectively. The we have d-1 = s and 2 (s-1) = d. Solving these two equations we get d =4, s =3.

31
Q

(very special) A. Today is Matt’s birthday. One year from today he will be twice as old as he was 12 years ago. How old is Matt today?

A

25 years x+1 = 2(x-12) solve for x

32
Q

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

A

48 paise (200 X 60) / 250

33
Q

In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

A

to be determined

34
Q

wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:

A

9 (6 x 21 )/14

35
Q

A 6% stock yields 8%. The market value of the stock is:

A

75 For an income of Rs. 8, investment = Rs. 100. (100/8)X6

36
Q

4 men & 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

A

40 days

37
Q

A person lost 10% when he sold goods at Rs.153. For how much should he sell them to gain 20%?

A

204 (153 / .90) = 170 X1.20 = 204

38
Q

(tamilcube.com)If 30% of a number is 12.6, find the number?

A

42 12.6/.30

39
Q

(tamilcube.com) What is 50% of 40% of $3,450?

A

690 (3450X.40X.50)

40
Q

indiabix.com (stocks) 12% stock yielding 10% is quoted at:

A

10% should be 100

so (100/10) X 12

41
Q

FV Someone wants to deposit $100 in a bank that pays guaranteed 5% each year. After 3 years, how much would he/she have?

A

115.76 100(1.05)^3

42
Q

PV How much 1,000,000 due 100 ys be worth today if the discount rate was 5%?

A

7604.49 1,000,000/(1.05)^100

43
Q

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A

7/8

44
Q

(very special) Mr, Johnson was to earn $300 and a free holiday for seven week’s work. He worked for only 4 weeks and earned $30 and a free holiday. What was the vaue of the holiday?

A

330 ((300 + x) /7) X4 = 30 + x

Solve for x

45
Q

(very special) What is the smallest number of ducks that can swim in this formation: two in front of a duck, two behind a duck and a duck between two ducks?

A

3 The smallest such number.

46
Q

Gina bought 7 t-shirts, paying 9.95 each. Total sales tax was 13.07. She left the store with only $7.28 in her pocket. How much money did Gina have when she entered the store?

A

$90

47
Q

(chain rule indiabix.com) If the cost of x metres of wire is d dollars, then what is the cost of y metres of wire at the same rate?

A

yd/x : cost of x metres= d , cost of 1 metre =d/x

cost of y metres (d/x) * y = (yd/x)

48
Q

(chain rule indiabix.com) Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A

1800: ((10 X 4 X 270) / 6

49
Q

(chain rule indiabix.com) 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

16 (8X8X4)/4X4

50
Q

If a product is sold and the seller los 10%, at how much dis the seller sold it? Original price was $200

A

180 200 X .10 = 20, 200 - 20 = 180

200/1.10 = 181

51
Q

a product is sold and the seller lost 10% by selling it at 360. What was the original price?

A

400 (360 / .90)