Deck 5: Math: Mathematics Advanced

Question 1

Which of the following is not a prime number?1, 7, 11, 13

A)1
B)7
C)11
D)13

Answer 1

1

Question 2

Find median of 21, 3, 9, 6, 56, 24, and 4

A) 16
B) 7.5
C) 17.5
D) 9

Answer 2

9

Question 3

The sum of first four prime numbers is

A)10
B)11
C)16
D)17

Answer 3

17

Question 4

A rectangular field ABCD has a flower garden which is 18 feet by 6 feet. If the garden covers 30 percent of the field, what is the area, in square feet, of the field?

A)130
B)216
C)360
D)540

Question 5

(1+ $\sqrt{3}$ )(1- $\sqrt{3}$ )=

A)-3
B)-2
C)4
D)3-2?3

Question 6

If diagonal of a square room is x, what is the area of the room?

A)x/2
B)x/ $\sqrt{2}$
C)2x
D)x2/2

Question 7

If the length and width of a rectangular garden plot were each increased by 10 percent, what would be the percent increase in the area of the plot?

A)20
B)21
C)12
D)11

Question 8

Rectangular floors X and Y have equal area. If floor X is 8 feet by 27 feet and floor Y is 9 feet wide, what is the length of floor y, in feet?

A)24
B)21
C)18
D)20

Question 9

A rectangular carton in 10 cm long, 15 cm wide and 5 cm high. If, the length, the width and the height each is doubled, what will be its volume, in cubic cm?

A)20
B)60
C)1500
D)6000

Question 10

Which of the following is equal to x20 for all positive values of x?

A)(x10 + x10 )
B)(x2)10
C)(x10)10
D)(x5)15

Question 11

A card is picked up at random from a pack of 52 cards. Find the probability that it is a king or queen.

A)2/13
B)3/13
C)7/52
D)1/13

Question 12

A box contains tickets numbered 01 to 100. What is the probability that a ticket selected at random will have number with a tenth digit of 5?

A)1/5
B)9/10
C)1/10
D)½

Question 13

A series discount of 20% and 10% is equivalent to a single discount of

A)30%
B)28%
C)22%
D)27%

Question 14

The product of two numbers is 1600 and their Highest Common Factor ( H.C.F.) is 5. The Lowest Common Multiple (L.C.M.) of the numbers is _______

A)320
B)1595
C)1605
D)8000

Question 15

At simple interest, a sum doubles in 20 years. The rate of interest per annum is ____

A)5%
B)10%
C)12%
D)20%

Question 16

If Set A is a set of first 5 odd numbers and Set B is a set of first 5 prime numbers. Find Set A $\Omega$ B.

A){1,3,5,7,9}
B){1,3,5,7,9,11}
C){2,9,11}
D){3,5,7}

Question 17

Find the sum of all angles of a regular hexagon.

A)720
B)360
C)540
D)180

Question 18

A sum of money at simple interest amounts to N2240 in 2 years and N 2600 in 5 years. The sum is:

A)1880
B)2000
C)2120
D)2360

Question 19

Find the value of log3 (9X27X81)

A)3
B)9
C)27
D)81

Question 20

Three drums contain 12 litres, 15 litres and 24 litres of milk. What can be the size of biggest measuring pot to measure all the quantities exactly?

A)3
B)24
C)12
D)120

Question 21

Four prime numbers are arranged in ascending order. Their product is 5005 and the product of the first three is 385. Find the smallest prime numbers among the four.

A)13
B)5
C)7
D)11

Question 22

Which of the following fractions is equal to the decimal 0.0125?

A)1/8
B)3/40
C)1/80
D)1/800

Question 23

There are 576 boys and 448 girls in a school that are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed.

A)32
B)64
C)128
D)192

Question 24

Find the smallest perfect square number which is exactly divisible by 12, 15, and 20

A)180
B)360
C)900
D)32400

Question 25

Find the least number which when divided by 6, 7, 8, 9 or 12 leaves the reminder 2 in each case.

A)500
B)502
C)504
D)506

Question 26

HCF of three numbers is 12. If the three numbers are in the ratio of 1:2:3. Find the numbers.

A)1,2,3
B)4,8,12
C)12,24,36
D)24, 48, 72

Question 27

What is the smallest integer n for which 16n = 412?

A)2
B)4
C)6
D)12

Question 28

2/1000 + 3/1000 + 4/100000 =

A) 0.234
B) 0.2304
C) 0.0234
D) 0.02304

Question 29

If Diana was 25 years old 5 years ago, how old will be she x years after?

A)30-x
B)20+x
C)30+x
D)x-30
E)x-20

Question 30

If n is an integer and 0.0050505X10n is greater than 500, what is the least possible value of n?

A)3
B)4
C)5
D)6

Question 31

The value of -3-(-10) is how much greater than the value of -10-(-3)?

A)0
B)6
C)7
D)14

Question 32

The number (8-0.5) is how many times the number (3-0.5)?

A) 2
B) 2.5
C) 3
D) 3.5

Question 33

In which of the following pairs are two numbers reciprocals of each other?I $\sqrt5$ and $\sqrt5$ /5II $\sqrt5$ and - $\sqrt5$ III 5 and 1/5

A)I only
B)I and II
C)I and III
D)II and III

Question 34

What percent of 130 are 10.4?

A) 0.08
B) 0.8
C) 8
D) 80

Question 35

If "basis points" are defined so that 1 percent is equal to 100 basis points, then 44.5 percent is how many basis points greater than 34.5 percent?

A)0.1
B)10
C)100
D)1000

Question 36

A bacteria multiply every minute. If initially there are 104 number of bacteria, what will be the number after 6 minutes?

A)2(104)
B)6(104)
C)(26) (104)
D)(104)6

Question 37

If the speed of a car is 200 km per hour, how may minutes does it take to travel 60 km ?

A)3
B)3 1/3
C)12
D)18

Question 38

Last year if 94 percent of the income of a person came from salary and the remaining income, to tallying $9000, came from dividend, what was the total income of the person?

A)1500
B)15000
C)150000
D)159000

Question 39

Peter drives the car at speed between 80km per hour and 120 km per hour, inclusive. What is the maximum time, in minutes, that he would take in covering 340 km?

A)170
B)240
C)255
D)270
E)300

Question 40

A company projected a 50 percent increase in sales this year over that of last year, but sales this year actually decreased by 25 percent. What percent of the projected sales were the actual sales?

A)25
B)40
C)50
D)75

Question 41

If 36 is 30 percent of 30 percent of a certain number, what is the number?

A)9
B)36
C)81
D)400

Question 42

If x= (0.05)2, y=1/ (0.05)2, and z= (1-0.05)2-1, which of the following is true?

A)X=y=z
B)YC)ZD)Y< and x=z

Question 43

What is the value of (0.2)5 ?

A) 0.00032
B) 0.0016
C) 0.008
D )0.32

Question 44

What is the maximum number of 2 ½ foot pieces of wire that can be cut from a wire that is 48 feet long?

A)11
B)18
C)19
D)20

Question 45

If the number 1/6, 2/9, 1/18, 1/12, and 2/3 were ordered from greatest to least, the middle number of the resulting sequence would be

A)1/6
B)2/9
C)1/18
D)1/12

Question 46

{(6) (0.144)}/2.16 =

A) 0.04
B) 0.3
C) 0.4
D) 4.0

Question 47

Divide $680 among A, B and C such that A gets 2/3 of what B gets and B gets 1/4th of what C gets . Now the share of C is?

A)300
B)360
C)420
D)480
E)500

Question 48

If (-7) (3/x+9)=0 and x?7, then x=

A)-27
B)-3
C)-1/3
D)1/3
E)3

Question 49

Find the probability of getting 2 Heads when two fair coins are tossed?

A)1
B)2/3
C)½
D)¼
E)¾

Question 50

A series of discount of 10%, 20% and 40% is equal to a single discount of

A)50%
B)56.8%
C)70%
D)70.28%
E)80%

Question 51

Which of the following is greater than 1/3?

A)33/100
B)4/11
C)3/10
D)13/54
E)5/16

Question 52

Three machines, individually, can do a certain job in 2, 3 and 4 hours, respectively. What is the greatest part of the job that can be done in one hour by two of the machines working together at their respective rates?

A)13/12
B)¾
C)5/6
D)6/5

Question 53

One side of a rectangular field is 4 meters and its diagonal is 5 meters. The area of the field is:

A)12 m2
B)15 m2
C)20 m2
D)4?5 m2

Question 54

In an examination of 4 subjects, John gets 100, 60 and 55 in three subjects. If his average (arithmetic mean) marks for all four subjects is 75, then the marks in the 4th subject must be

A)82
B)85
C)88
D)91
E)93

Question 55

$\sqrt(25+25 )$ =

A)5 $\sqrt2$
B)10 $\sqrt2$
C)25 $\sqrt2$
D)10
E)25

Question 56

What is the ratio of 4/5 to the product 5(4/5)?

A)1/5
B)5/16
C)16/5
D)5

Question 57

If 3x-5= 15-x, then 3x=

A)-15
B)5
C)15
D)25

Question 58

What number when multiplied by 6/11 yields 9/11 as the result?

A)3/11
B)2/3
C)3/2
D)11/3

Question 59

If (x+6) is a factor of x2+mx-48, then m=

A)16
B)12
C)2
D)6
E)14

Question 60

62/250=

A) 0.248
B) 0.252
C) 0.284
D) 0.312
E) 0.320

Question 61

If one solution of the equation x2 + 5x + 6 = 0 quadratic equation is 2, what is the other solution?

A)-3
B)-2
C)2
D)3
E)6

Question 62

( $\sqrt5$ + $\sqrt5$ )2 =

A)5
B)10
C)20
D)25
E)50

Question 63

The cost of a toy car is $20 less than 2 times the cost of a toy train. If the cost of toy car is $100, what is the cost of toy train?

A)$40
B)$50
C)$60
D)$80

Question 64

Of the following, which is least?

A) (0.03)2
B) (0.3)2
C) 0.03
D) 0.3

Question 65

If -6 is 3 more than x, what is the value of x/9?

A)-9
B)-3
C)-1
D)1

Question 66

Two sides of a right angle triangle are 12 and 13. Which of the following could be length of the third side?I. 5II. 11III. $\sqrt313$

A)I only
B)II only
C)III only
D)I and III

Question 67

If 82x-4= 42x, then x=

A)2
B)3
C)4
D)6

Question 68

The average(arithmetic mean) of eight numbers is 12.5. When one number is discarded, the average of remaining numbers becomes 12.0. What is the discarded number?

A)10.5
B)12.0
C)12.5
D)16.0

Question 69

If diagonal of a square room is d, what is the area of the room?

A)d/ $\sqrt2$
B)d2/2
C)d2 $\sqrt2$
D)2d2

Question 70

If 3x + 5y = 10 and 5x + 3y = 30, what is the average (arithmetic mean) of x and y?

A)2)5
B)4
C)5
D)10
E)20

Question 71

If x+y=6, y+z=7 and z+x=9, what is the average(arithmetic mean) of x, y and z?

A)11/3
B)22/3
C)11
D)22

Question 72

If x ? -3 , then find the value of (3x2 - 27) ( x + 3 )

A)3x - 9
B)x + 3
C)x2 - 9
D)x - 3

Question 73

The area of a 144m long rectangle is same as that of a square having a side 84 m long. The width of rectangle is

A)7
B)14
C)49
D)84
E)98

Question 74

The average (arithmetic mean) of 4, 8, and 12 equals the average of 6, 10, and

A)5
B)7
C)8
D)9
E)11

Question 75

(8)008)/(5.005) =

A) 1.06
B) 1.60
C) 1.60016
D) 1.601
E) 1.6016

Question 76

If width of a rectangle is increased by 10% and the length is decreased by 20%, by what percent does the area decrease?

A)2%
B)12%
C)16%
D)20%
E)21%

Question 77

How many multiples of 5 are there between 10 and 95 , inclusive?

A)17
B)18
C)19
D)20
E)21

Question 78

25% of a certain number is 15 less than 30% of the same number. What is that number?

A)135
B)300
C)600
D)750
E)900

Question 79

If 8x+6y = -4 and x+2=0, what is the value of y?

A)-3 1/3
B)-2
C)-(2/3)
D)2/3
E)2

Question 80

If 4/5 of a number is 12, what is 5/6 of the number?

A)4/5
B)9
C)12.5
D)15
E)18