Given bar graph shows percentage distribution of total CD’s ordered by four shopkeeper (A, B, C & D) and percentage of CD’s sold by these four shopkeepers out of total CD’s ordered by each. Read the data carefully and answer the questions.

Problem – 1

Total unsold CD’s by A & D together are how much more than total sold CD’s by C?

a.126

b.132

c.128

d.116

e.118

Problem – 2

If total CD’s sold by shopkeeper E are 125% more than total CD’s sold by B and shopkeeper E sold 27% of total ordered CD’s, then find total CD’s ordered by E are what percent more than total CD’S ordered by C ?

a.36%

b.15%

c.30%

d.20%

e.25%

Problem – 3

Find average number of unsold CD’s by B, C & D?

a.120

b.100

c.80

d.110

e.72

Problem – 4

Find ratio of total CD’s sold by A & D together to total CD’s sold by B?

a.5 : 3

b.3 : 5

c.5 : 4

d.5 : 6

e.4 : 5

Problem – 5

If total CD’s ordered by shopkeeper X is 100% more than total unsold CD’s by D and X sold 30% of total ordered CD’s, then find unsold CD’s by X are what percent of unsold CD’s by A?

a.105%

b.110%

c.100%

d.96%

e.90%

In each question two equations numbered (I) and (II) are given. You should solve both the equations and mark appropriate answer.

a.if x > y

b.if x ≥ y

c.if x < y

d.if x ≤ y

e.if = y or the relationship cannot be established

Problem - 6

I.x² – 7x + 10 = 0

II.y² – 2y – 3 = 0

Problem - 7

I.x² – 24x + 143 = 0

II.y² – 29y + 210 = 0

Problem - 8

I.x² + 22x + 117 = 0

II.y² + 23y + 132 = 0

Problem - 9

I.2x² – 3x – 20 = 0

II.2y² + 11y + 15 = 0

Problem - 10

I.x² – 12x + 32 = 0

II.y² – 20y + 96 = 0

A boat travels in upstream. If the speed of boat in upstream is decreased by 40% then it is equal to the speed of current and speed of boat in still water is given as 240 km/hr. Then find upstream speed of boat? (in km/hr).

a.120

b.180

c.150

d.210

e.125

A man invested Rs. X and Rs. 2X at 15% simple interest and at 8% compound interest (compounding annually) for two years respectively. Difference between simple interest and compound interest received after two years is Rs.820. Find the value of X.

a.Rs.25000

b.Rs.30600

c.Rs.28600

d.Rs.22200

e.Rs.26200

Length of train A is 400 meters and length of train B is ‘x’ meters more than train A. If speed of both train A & B is equal and they cross a pole in 16 sec and 24 secs respectively, then in what time train ‘B’ will cross 400 m long platform.

a.32 sec

b.40 sec

c.45 sec

d.54 sec

e.24 sec

‘A’ is 40% less efficient than ‘B’ who can do the same work in 20% less time than ‘C’. If A and B together can complete 80% of work in 12 days, then in how many days 60% of work can be completed by B and C together.

a.2 days

b.4 days

c.6 days

d.8 days

e.10 days

A shopkeeper has two articles jeans and shirt. Cost price of a jeans is 32.5% more than cost price of a shirt and cost price of jeans is increased by 30% and it sold in Rs. 4134 at the profit of 25%. If shirt marked up 15% above cost price, then find the marked price of shirt (in Rs.)?

a.2200

b.2208

c.2280

d.2820

e.2082

In first mixture, quantity of milk was 6 lit more than that of water. After adding 40 ltr of second mixture (having ratio of water to milk 3: 5) in the first mixture, ratio of water to milk in the final mixture becomes 9: 13. Find the total quantity of water in the final mixture.

a.27 ltr

b.31.5 ltr

c.36 ltr

d.45 ltr

e.None of these

A and B started a business together with capital of Rs. 8000 and Rs. 10,000 respectively. A left the business after 5 months while B continued. A gets 20% of total profit for managing business and remaining is distributed in ratio of their profit sharing. If after a year, A gets total profit of Rs.2500 then, find the total profit earned by ‘A’ and ‘B’ together.

a.10,000

b.8,500

c.7,500

d.6,250

e.5,750

The salary of A man is Rs. 50000 per month from which he spends 20% on rent, 10% of remaining on bills, 20% of further remaining on miscellaneous expenses. From the remaining amount, man gives some money to his wife and rest he invests in mutual funds in the ratio of 5 : 4. Find amount spent on rent is how much less or more than amount invested in mutual funds.

a.2800

b.2400

c.2600

d.3200

e.3000

A bag has seven red, four white and three green balls while another bag has five red, six yellow and three blue balls. A bag is selected at random and a ball drawn out of it, then Find the probability that the ball drawn is red.

a.1/7

b.3/7

c.2/7

d.6/7

Table Given below shows total number of male visitors on four different days to a park and it also shows percentage of female visitors on these four days. Read the data carefully and answer the questions.

Problem – 21

Total female visitors on Sunday & Monday together is how much more or less than total number of female visitors on Tuesday & Wednesday together.

a.160

b.140

c.120

d.100

e.80

Problem – 22

Total visitors on Wednesday are what percent more than total number of visitors on Sunday?

a.60%

b.20%

c.40%

d.80%

e.50%

Problem – 23

Total number of male visitors on Friday are 25% more than total number of male visitors on Monday, while total number of female visitors on Friday are 40% more than total number of visitors on Tuesday. Find total visitors on Friday?

a.1470

b.1050

c.1620

d.1200

e.1170

Problem – 24

Total number of visitors on Wednesday is how much more than total number of female visitors on Sunday and Monday together?

a.300

b.200

c.250

d.350

e.150

Problem – 25

If there is one guide for per five visitors on each day, then find total number of guides required for all visitors on these four days?

a.240

b.480

c.220

d.440

e.460

Problem – 26

Find the wrong number in following number series :

5, 18, 34, 54, 79, 110, 158

a.34

b.5

c.18

d.54

e.158

Problem – 27

Find the wrong number in following number series :

112, 128, 108, 132, 104, 134, 100

a.112

b.128

c.134

d.108

e.100

Problem – 28

Find the wrong number in following number series :

5, 6, 14, 45, 184, 920, 5556

a.5

b.6

c.14

d.920

e.45

Problem – 29

Find the wrong number in following number series :

10, 22, 35, 50, 68, 92, 117

a.92

b.117

c.10

d.22

e.35

Problem – 30

Find the wrong number in following number series :

64, 34, 36, 56, 114 , 287, 860

a.114

b.860

c.64

d.36

e.56

Read the data carefully and answer the questions.

There are 450 students in a school and there are two sections A & B in the school. There are three streams in each section i.e., Art, Science & Commerce. 75/4% of total students in A are in Commerce and 200/7% of total students in B are in Science. Sum of total students in Commerce in A & total students in Science in B is 105. 400/21% of total students in B are in Commerce and 50% of total students in A are in Art.

Problem – 31

Total students in Art in A is what percent more than total students in Science in B?

a.75%

b.70%

c.90%

d.100%

e.110%

Problem – 32

Find the ratio of total students in Commerce in B to total students in Science in A?

a.8 : 15

b.8 : 17

c.8 : 13

d.8 : 11

e.8 : 9

Problem – 33

If in other section C, total students are 180 and total student in Science in C are 25% more than total students in Commerce in B, then find total students in Art & Commerce in C is how much less than total students in Art &Commerce in A?

a.55

b.60

c.65

d.45

e.35

Problem – 34

Find the average number of students in Science in A & B?

a.125/2

b.135/2

c.120

d.130

e.145

Problem – 35

If out of total students in Art in A & B, ratio of boys to girl is 5 : 3 and 7 : 4 respectively, then find total boys in Art from both sections?

a.125

b.135

c.145

d.115

e.105

Downloadable File

Find the number such that when 15 is subtracted from 7 times the number, the result is 10 more than twice the number.

a. 5

b. 6

c. 7

d. 8

Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number

a. 3

b. 4

c. 6

d. 9

The sum of a rational number and its reciprocal is 13/6 . Find the number

The difference of two numbers is 11 and one fifth of their sum is 9. Find the numbers

3/4th of a number exceeds its 2/3rd by 8. What is the number?

a. 96

b. 36

c. 72

d. 144

The sum of two numbers is 184. If one third of the one exceeds one-seventh of the other by 8, find the smaller number

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

a. 145

b. 253

c. 370

d. 352

A number exceeds by 25 from its 3/8 part. Then the number is?

a. 32

b. 35

c. 39

d. 40

Sum of two numbers is 15. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?

a. 6, 9

b. 10, 5

c. 7, 8

d. 9, 6

Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers?

1. 65, 15

2. 64, 16

3. 62, 18

4. 60, 20

A number when, 28 subtracted from it reduces to its one third. What is the value of 50% of that number?

a. 42

b. 84

c. 21

d. 24

If a number is decreased by 4 and divided by 6, the result is 8. What would be the result if 2 is subtracted from the number and then it is divided by 5?

a. 9 2/3

b. 10

c. 10 1/5

d. 11 1/5

e. None of these

Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?

a. 148

b. 210

c. 126

d. 248

The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?

a. 3

b. 5

c. 7

d. 11

A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number?

a. 3.5

b. 6

c. 8

d. None of these

If doubling the number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is

a. 2

b. 3

c. 4

d. 6

If the sum of one-half and one fifth of a number exceeds one-third of that number by 7 1/3, the number is

a. 15

b. 18

c. 20

d. 30

The sum of a number and its reciprocal is one-eigth of 34. What is the product of the number and its square root?

a. 8

b. 27

c. 32

d. 64

The sum of consecutive numbers is 87. The greatest among these three numbers is:

a. 26

b. 28

c. 29

d. 30

Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is:

a. 9

b. 11

c. 13

d. 15

If 2 ½ is added to a number and the sum is multiplied by 4 ½ and 3 is added to the product and then dividing the sum by 1 1/5, the quotient becomes 25. What is the number?

a. 2 ½

b. 3 ½

c. 4 ½

d. 5 ½

The sum of three numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is

a. 48

b. 54

c. 72

d. 84

The sum of two positive integers multiplied by the bigger number is 204, and their difference multiplied by the smaller number is 35. The numbers are

a. 12,5

b. 13,4

c. 14,3

d. 24,10

The sum of three consecutive odd numbers is 20 more than the first of these numbers. What is the middle number?

a. 7

b. 9

c. 11

d. Data Inadequate

e. None of these

This Lecture Contains video on Divisibility concept and Problems on Divisibility for practice.

Which one of the following numbers is divisible by 3?

a. 4006020

b. 2345678

c. 2876423

d. 9566003

The number 89715938* is divisible by 4. The unknown non-zero digit marked as * will be

a. 2

b. 3

c. 4

d. 6

Which one of the following numbers is divisible by 15?

a. 17325

b. 23755

c. 29515

d. 30560

Which one of the following numbers is divisible by 11?

a. 4823718

b. 4832718

c. 8423718

d. 8432718

7386038 is divisible by

a. 3

b. 4

c. 9

d. 11

111,111,111,111 is divisible by

a. 3 and 37 only

b. 3, 11 and 37 only

c. 3, 11, 37 and 111 only

d. 3, 11, 37, 111 and 100

Consider the following statements:

The numbers 24984, 26784 and 28584 are

(1) divisible by 3

(2) divisible by 4

(3) divisible by 9

Which of these are correct?

a. 1 and 2

b. 2 and 3

c. 1 and 3

d. 1, 2 and 3

Which of the following numbers are completely divisible by 7?

I. 195195

II. 181181

III. 120120 IV. 891891

a. Only I and II

b. Only II and III

c. Only I and IV

d. Only II and IV

e. All are divisible

If n be any natural number then by which largest number (n3 – n) is always divisible?

a. 3

b. 6

c. 12

d. 18

How many of the following numbers are divisible by 3 but not by 9?

2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

a. 5

b. 6

c. 7

d. None of these

The smallest five digit number which is exactly divisible by 476 is,

a. 47600

b. 10000

c. 10476

d. 10472

A 4 digit number is formed by repeating a 2 digit number such as 2525, 3232, etc. Any number of this form is always exactly divisible by

a. 7

b. 11

c. 13

d. Smallest 3 digit prime number

What least number would be subtracted from 427398 so that the remaining number is divisible by 15?

a. 6

b. 3

c. 16

d. 11

e. None of these

The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

a. 8100

b. 17600

c. 44100

d. None of these

How many numbers between 200 and 600 are divisible by 4,5 and 6?

a. 5

b. 6

c. 7

d. 8

Downloadable Material

The sum of the place values of 3 in the number 503535 is

a. 6

b. 60

c. 3030

d. 3300

P and Q are two positive integers such that PQ = 64. Which of the following cannot be the value of P + Q?

a. 16

b. 20

c. 35

d. 65

If x + y + z = 9 and both y and z are positive integers greater than zero, then the maximum value x can take is

a. 3

b. 7

c. 8

d. Data insufficient

98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4,1, 2, ........ is

a. 1

b. 2

c. 3

d. 4

What is the sum of the squares of the digits from 1 to 9?

a. 105

b. 260

c. 285

d. 385

Let n be a natural number such that 1/2+1/3+1/7+1/n     is also a natural number. Which of the following statements is not true?

2 divides n

3 divides n

7 divides n

n > 84

What is the sum of all prime numbers from 60 to 80?

a. 361

b. 341

c. 351

d. 349

The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is

a. 7

b. 29

c. 41

d. 67

The smallest prime number, that is the fifth term of an increasing arithmetic sequence in which all the  four preceding terms are also prime, is

a. 17

b. 29

c. 37

d. 53

When 9 is subtracted from two-digit number, the number so formed is reverse of the original number. Also, the average of the digits of the original number is 7.5. What is definitely the original number?

a. 87

b. 92

c. 90

d. 69

e. 96

Let d be a two-digit number. If half of d exceeds one third of d by the sum of the digits in d, then the sum of the digit in d is

a. 6

b. 8

c. 9

d. 15

e. None of these

If a number of two digits is k times the sum of its digits, then the number formed by interchanging the digits is the sum of the digits multiplied by

a. 9+k

b. 10+k

c. 11-k

d. K-1

e. None of these

The difference between a two-digit number and the number obtained by interchanging the two digits of the number is 9. What is the difference between the two digits of the number?

a. 3

b. 2

c. 1

d. Cannot be determined

e. None of these

The sum of the digits of a two-digit numbers is 15 and the difference between the two digits of the two-digit number is 3. What is the product of the two digits of the two-digit number?

a. 56

b. 63

c. 42

d. Cannot be determined

e. None of these

In a two-digit positive number, the digit at the unit’s place is equal to the square of the digit in the ten’s place and the difference between the number and the number obtained by interchanging the digits is 54. What is 40% of the original number?

a. 15.6

b. 39

c. 37.2

d. 24

e. None of these

In a three-digit number, the digit in the unit’s place is twice the digit in the ten’s place and 1.5 times the digit in the hundred’s place. If the sum of all the three digits of the number is 13, what is the number?

a. 364

b. 436

c. 238

d. 634

e. None of these

A certain number of two digits is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is

a. 72

b. 32

c. 27

d. 23

e. None of these

The sum of five consecutive odd numbers is 575. What is the sum of the next set of the consecutive odd numbers?

a. 615

b. 635

c. 595

d. Cannot be determined

e. None of these

The sum of five consecutive numbers is 270. What is the sum of the second and fifth numbers?

a. 108

b. 107

c. 110

d. Cannot be determined

e. None of these

The sum of twice of a number and thrice of 42 is 238. What will be the sum of thrice of that number and twice of 42?

a. 245

b. 250

c. 264

d. 252

e. None of these

There are two numbers such that the sum of twice the first number and thrice the second number is 100 and the sum of thrice the sum first number and twice the second number is 120. Which is the larger number?

a. 32

b. 12

c. 14

d. 35

e. None of these

The difference between the 3/4th of 4/5th of a number and 1/6th of 2/5th of the same number is 648. What is the number?

a. 1110

b. 1215

c. 1325

d. 1440

e. None of these

The sum of two odd numbers is 38 and their product is 325. What is three times the larger number?

a. 42

b. 39

c. 75

d. 72

e. 78

Ravi bought equal number of ₹ 45, ₹ 75 and ₹ 95 valued tickets for a classical music show. He spent a sum of ₹ 3870 for all the tickets. How many of each kind of tickets did he buy?

a. 18

b. 19

c. 17

d. 20

e. None of these

Symbiosis runs a Corporate Training Programme. At the end of running the first programme, its total takings were ₹ 38950. There were more than 45 but less than 100 participants. What was the participant fee for the programme?

a. ₹ 410

b. ₹ 450

c. ₹ 500

d. ₹ 510

The sum of three consecutive odd numbers and three consecutive even numbers together is 231. Also, the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number?

a. 82

b. 83

c. 74

d. Cannot be determined

e. None of these

If 32 /3  is subtracted from 91 /9 and the difference is multiplied by 450, then what is the final answer?

a. 2250

b. 2045

c. 2540

d. 2450

e. None of these

If the numerator of a fraction is increased by 240% and the denominator of the fraction is decreased by 50%, the resultant fraction is 2⅚. What is the original fraction?

a. 1⁄4

b. 2⁄3

c. 5⁄12

d. 4⁄11

e. None of these

41 /2 - 25/6 = ? - 17/12

31/4

35/12

2 7/12

33/4

None of these

31 /4 + 2 1/2 - 1 5/6 = ?^2/10 +15/12

25

√5

625

15

5

3/8 th of 4/9 th of 1092 = ?

182

728

364

218

None of these

5 17/37  × 4 51/52  × 11 1/7  +2 3/4  = ?

303.75

305.75

3033/4

3051/4

None of these

3/8   of  4/5  of  2/3  of 730=?

86

146

156

93

None of these

3 2/7-2 1/14-1 1/14-1 1/7= ?+ 2 1/13

1 1/7

1 2/7

1/7

3/7

None of these

(85.6 ÷ 12 × ?2 )=69.5 × 8

a. 5

b. 9

c. 2

d. 4

e. 6

[(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5

a. 4.4

b. 4

c. 5

d. 4.2

e. 2.4

37.5 ÷ [  1/2 of (24 + 33) -13 1/2 ]

2.75

2.5

1.75

2.25

1.5

0.3 + 3 + 3.33 + 3.3 + 3.03 + 333 = ?

a. 375.66

b. 345.96

c. 375.93

d. 355.96

e. None of these

12.4×?×16.5=2905.32

a. 13.4

b. 15.2

c. 16.2

d. 14.2

e. None of these

What will come in place of the question mark (?) in the following equation?

√625.04 × 16.96 + 136.001 ÷ 17 = ?

a. 4.18

b. 4.41

c. 425

d. 433

e. None of these

28.314-31.427+113.928=?+29.114

a. 81.711

b. 80.701

c. 71.711

d. 81.701

e. None of these

The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is 6/5    , what is the original fraction?

22/5

24/5

27/6

28/5

30/11

The value of which of the following fractions is less than twenty percent?

a. 5/6

b. 4/9

c. 2/5

d. ¼

e. 2/11

Which of the following fractions is the highest?

5/6, 7/9, 7/8, 9/11, 6/7

5/6

7/9

7/8

9/11

6/7

Which of the following numbers does not lie between 4/5   and 7/13 ?

1/2

2/3

3/4

5/7

5/9   of a number is equal to twenty five percent of second number. Second number is equal to  1/4  of third number. The value of third number is 2960. What is 30% of first number?

99.9

88.8

77.7

None of these

Find the factors of 330.

a. 2 × 4 × 5 × 11

b. 2 × 3 × 7 × 13

c. 2 × 3 × 5 × 13

d. 2 × 3 × 5 × 11

252 can be expressed as a product of primes as

a. 2 × 2 × 3 × 3 × 7

b. 2 × 2 × 2 × 3 × 7

c. 3 × 3 × 3 × 3 × 7

d. 2 × 3 × 3 × 3 × 7

Which of the following has most number of divisors?

a. 99

b. 101

c. 176

d. 182

The H.C.F. of 2^2 × 3^3 × 5^5, 2^3 × 3^2 × 5^2 × 7 and 24 × 3^4 × 5 × 7^2 × 11 is

a. 2^2 × 3^2 × 5

b. 2^2 × 3^2 × 5 × 7 × 11

c. 2^4 × 3^4 × 55

d. 2^4 × 3^4 × 5^5 × 7 × 11

The H.C.F. of 204, 1190 and 1445 is

a. 17

b. 18

c. 19

d. 21

The HCF and LCM of two natural numbers are 12 and 72 respectively. What is the difference between two numbers, if one of the numbers is 24?

a. 12

b. 18

c. 21

d. 24

e. 27

The difference between two numbers is 18 and their HCF and LCM are 6 and 168, respectively. What is the sum of squares of two numbers?

a. 2280

b. 2260

c. 2420

d. 2340

e. 2380

LCM of two numbers 120 and their HCF is 10. Which of the following can be the sum of those two numbers?

a. 140

b. 80

c. 60

d. 70

e. None of these

Find the maximum number of girls, among whom 2923 bags and 3239 eyeliners can be distributed in such a way that each girl gets the same number of bags and eyeliners?

a. 80

b. 79

c. 78

d. 81

e. None of these

HCF of three numbers 3240, 3600 and p is 36. If their LCM is 24 × 35  × 52  × 72, then the number p is

a. 2^2× 5^3×7^2

b. 3^5× 5^2×7^2

c. 2^2× 3^5×7^2

d. 2^3× 3^5×7^3

e. none of these

The LCM of  1/3, 5/6,  2/9,  4/27   is

a. 1/54

b. 10/27

c. 20/3

d. 27/3

e. None of these

The H.C.F. of two numbers is 12 and their difference is 12. The numbers are

a. 66, 78

b. 70, 82

c. 94, 106

84, 96

Three numbers are in the ratio 1: 2: 3 and their H.C.F. is 12. The numbers are

a. 4, 8, 12

b. 5, 10, 15

c. 10, 20, 30

12, 24, 36

The least number of five digits which is exactly divisible by 12, 15 and 18 is

a. 10010

b. 10015

c. 10020

d. 10080

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is

a. 9000

b. 9400

c. 9600

d. 9800

The greatest number which can divide 1356, 1868 and 2764 leaving the same remainder 12 in each case is

a. 64

b. 124

c. 156

d. 260

Find the greatest number that will divide 964,1238 and 1400 leaving remainders 41, 31 and 51 respectively.

a. 61

b. 71

c. 73

d. 81

What is the least natural number which leaves no remainder when divided by all the digits from 1 to 9?

a. 1800

b. 1920

c. 2520

d. 5040

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?

a. 196

b. 630

c. 1260

d. 2520

The smallest fraction, which each of 6/7,5/14.10/21 will divide exactly is

a. 30/7

b. 30/98

c. 60/147

d. 50/294

The number between 4000 and 5000 which is divisible by 12, 18, 21 and 32 is

a. 4023

b. 4032

c. 4203

d. 4302

The number nearest to 43582 divisible by each of 25, 50 and 75 is

a. 43500

b. 43550

c. 43600

d. 43650

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is

a. 3

b. 13

c. 23

d. 33

The least number which is a perfect square and is divisible by each of the numbers 16, 20 and 24, is

a. 1600

b. 3600

c. 6400

d. 14400

The least multiple of 13, which on dividing by 4, 5,  6, 7 and 8 leaves remainder 2 in each case is

a. 840

b. 842

c. 2520

d. 2522

What is the third term in a sequence of numbers that leave remainders of 1, 2 and 3 when divided by 2, 3 and 4 respectively?

a. 11

b. 17

c. 19

d. 35

The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

a. 1677

b. 1683

c. 2523

d. 3363

An electronic device makes a beep after every 60 sec. Another device makes a beep after every 62 sec. They beeped together at 10 a.m. The next time, when they would beep together at the earliest is

a. 10.30 a.m.

b. 10.31 a.m.

c. 10.59 a.m.

d. 11 a.m.

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?

a. 4

b. 10

c. 15

d. 16

Three persons walking around a circular track complete their respective single revolutions in 15 1/6 seconds, 16 1/4  seconds and 18 2/3 seconds respectively.

They will be again together at the common starting  point after an hour and

a. 10 seconds

b. 20 seconds

c. 30 seconds

e. 40 seconds

The traffic lights at three different signal points change after every 45 seconds, 75 seconds and 90 seconds respectively. If all change simultaneously at 7 : 20 : 15 hours, then they will change again simultaneously at

a. 7 : 28 : 00 hours

b. 7 : 27 : 45 hours

c. 7 : 27 : 30 hours

d. 7 : 27 : 50 hours

The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?

a. 8

b. 12

c. 24

d. 35

What is the least number that can be added to the number 1020 to make it a perfect square?

59

65

4

12

None of these

( (216)^(1/3) )× ( (26)^4 ) × ( (39)^4 ) ÷ [ 12^4 × 3× 2^(-3) ]=〖13〗^?

8

12

4

10

16

[ ( 144 )^2 ÷ 48 × ? ] ÷ 22 = 216

23

16

11

32

None of these

92 × 576 ÷ 2√1296 + (?)^3 + √49

3

9^2

9

27

None of these

68 × √(?) - 3421 = 591

3249

3481

3364

3136

None of these

(343 × 49) / (216 × 16 × 81) = ?

7^5 / 6^7

7^5 / 6^8

7^6 / 6^7

7^4 / 6^8

None of these

(?^2) + (65)^2 = (160)^2 - (90)^2 - 7191

75

77

49

81

None of these

√((8)^2×7×(5)^2 - 175 = ?

105

95

115

125

None of these

√(2√392-21+(√8-7)^2=(?)^2 )

4

-4

12

2

None of these

[165^2÷75×12]÷36=(?)^2

13

169

121

11

None of these

√(√44944+√52441) =?

312

441

485

17

None of these

√(24^4 )+224= ? ×20^2

20

4

2

16

None of these

∛19683= ? ×3

90

27

3

18

None of these

24 × 144 ÷ 19 - ? = 312 ÷ 13

130

122

124

112

120

(5 x 14 + 1450) / 5 = 1998 ÷ ?

5.5

55.5

50.5

5.05

50.05

1 1/3 + 2 1/6 - 3 1/9 = 1 ÷ ?

2 4/7

5 2/7

2 1/3

3 1/3

3 1/7

1246 + ∜256=( ?^2 + 19 1/3 ) × 15

16

24

32

8

64

104 - 21 × 448 ÷ 16 + 1013 = ?^2

36

63

48

Cannot be determined

None of these

(4444 ÷ 40) + (645 ÷ 25) + (3991÷26) = ?

280.4

290.4

295.4

285.4

None of these

1268 ÷ 8 ÷ 2 = ?

71.75

317

268

79.25

None of these

2115 ÷ ? = 94 × 15

1.25

2.75

1.5

3

None of these

5982 + 1345 + 736 - ? = 4588 + 992

2485

2480

2473

2467

None of these

361 × ? × 11 = 428868

105

107

109

111

None of these

(8792 - 4136) ÷ ? = 145.5

38

32

42

36

None of these

What will come in place of both the question marks (?) in the following equation?

(? ^ 0.8) / 49=189 / (?^2.2 )

18

23

24

21

28

[( 5√7+√7 ) × ( 4√7 + 8√7 )]−( 19 )^2

143

72√7

134

70√7

None of these

(15×0.4)^4÷(1080÷30)^4×(27×8)^4=(3×2)^(?+5)

8

3

12

16

None of these

[(√8×√8)^(1/2)+(9)^(1/2) ]=(?)^3+√8−340

7

19

18

9

None of these

[(32)^20÷(32)^5 ]=?

(32)100

(32)2

(32)25

(32)15

None of these

(7^2.3) × (49^4.7) × (63^3.4) × (81^5.85) = (63^?)

16.25

15.1

13.4

18.9

None of these

√2704+78)÷13+?% of 70=31

40

25

45

30

20

(25% of 780 + 35% of 640) ÷ 4 = ?

108.25

104.75

120.75

114.25

110.75

(64.5% of 800 + 36.4% of 1500) = (?^2) + 38

32

38

42

48

84

1/6  of (92)% of 1 1/23 of (650) = 85 + ?

18

21

19

28

None of these

40% of 265 + 35% of 180=50% of ?

338

84.5

253.5

169

None of these

4 1/5  × 3 1/3  + ? = 20% of 120

10 1/15

10

5

15

None of these

2/3 ?f 1 2/5  ?? 75% of 540=?

378

756

252

332

None of these

If x% of 500 = y% of 300 and x% of y% of 200=60, then x=?

10√2

20√2

15√2

30√2

???? ?? ?ℎ???

?% of 555 + 28% of 444=202.02

18

12

14

16

None of these

40% of 250= 50% of ?

200

100

150

400

None of these

The Value of  (343 × 343 × 343 − 113 × 113 × 113) / (343 × 343 + 343 × 113 + 113×113)  lies between

230

456

130

556

None of these

((856+167)^(2 ) + (856−167)^(2 )) / (856×856+167 × 167) = ?

1

2

689

1023

None of these

(66^2) − (34^2) = ?

3600

3200

2146

2466

None of these

(38×38×38+34×34×34+28×28×28−38×34×84)/(38×38+34×34+28×28−38×34−34×28−38×28) ?? ????? ??

24

32

44

100

None of these

Abhay gave 30% of his money to Vijay. Vijay gave 2/3rd of what he received to his mother. Vijay’s mother gave 5/8th of the money, she received from Vijay to the grocer. Vijay’s mother is now left with ₹ 600. How much money did Abhay have initially?

₹ 6200

₹ 8000

₹ 6000

₹ 8200

None of these

In the month of April, Ramu spent ₹ 6000 on paying electricity bill ₹ 750 on paying water bill ₹2500 on paying telephone bill and ₹ 300 on paying cable bill. If after paying all these bills, he is left with 60% of his monthly salary, what is Ramu’s annual salary?

₹ 240700

₹ 270700

₹ 286500

₹ 263000

₹ 252800

What is the value of 24% of four−ninth of five times square of twenty−seven?

388.8

376.8

378.6

346.6

None of these

Raman’s present age is three times his daughter’s present age and nine−thirteenth of his mother’s present age. The sum of the present ages of all of them is 125 yr. what is the difference between the Raman’s daughter’s present ae and Raman’s mother’s present age?

45 yr

40 yr

50 yr

Cannot be determined

None of these

Harshitha bought 20 pens, 8 packets of wax colors, 6 calculators and 7 pencil boxes. The price of one pen is ₹ 7. One packet of wax color is ₹ 22, one calculator is ₹ 175 and one pencil box is ₹ 14 more than the combined price of one pen and one packet of wax colors. How much amount did Harshita pay to the shopkeeper?

₹ 1381

₹ 1815

₹ 1667

₹ 1572

None of these

Fifty−three percent of a number is 358 less than the square of 26. What is the value of three fourth of 23 percent of that number?

101

109.5

113

103.5

None of these

The cost of five chairs and three table is ₹ 3110. Cost of one chair is ₹ 210 less than cost of one table. What is the cost of two tables and two chairs?

₹ 1660

₹ 1860

₹ 2600

Cannot be determined

None of these

There are two numbers such that the sum of twice the first number and thrice the  second number is 100 and the sum of thrice the first number and twice the second number is 120. Which is the larger number?

32

12

14

35

None of these

There are some parrots and some tigers in a forest. If the total number of animal heads in the forest are 858 and total number of animal legs are 1746, what is the number of parrots in the forest?

845

833

800

Cannot be determined

None of these

On Republic Day, sweets were to be equally distributed among 450 children. But on that particular day, 150 children remained absent. Thus, each child got 3 sweets extra. How  many sweets did each child get?

6

12

9

Cannot be determined

None of these

The bus fare for one person is ₹ 420 from Agra to Aligarh and train fare between the same places for one person is equal to three−fourth the bus fare for two persons between the same places. What is the total fare paid by 2 persons travelling by bus and 4 persons travelling by train between the two places?

₹ 3360

₹ 3460

₹ 3440

₹ 3406

None of these

Mehul’s monthly salary is one and a half times Shailesh’s monthly salary. Prashant’s monthly salary is five−fourth of Mehul’s monthly salary. If the total of the monthly salaries of all the three is ₹ 183750, what is Prashant’s monthly salary?

₹ 42000

₹ 68500

₹ 78750

₹ 63000

None of these

On the Annual Day, sweets were to be distributed equally among 600 children of the school. But on that particular day, 120 children remained absent. Thus, each child got 2 extra sweets. How many sweets was each child originally supposed to get?

8

14

10

6

None of these

Deepak has some hens and some goats. If the total number of animal heads are 90 and total number of animal feet is 248, what is the total number of goats Deepak has?

32

36

34

Cannot be determined

None of these

The cost of 5 kg of apples is ₹ 450. The cost of 12 dozen mangoes is ₹ 4320 and the cost of 4 kg of oranges is ₹ 240. What is the cost of 8 kg of apples, 8 dozens of mangoes and 8 kg of oranges?

₹ 4020

₹ 4080

₹ 4000

₹ 4050

None of these

Arun ordered 15 chappattis, 4 plates of rice, 6 plates of mixed vegetables and 5 ice−cream cups. The cost of one chapattis is ₹ 5, one plate or rice is ₹ 50, one plate of mixed vegetables is ₹ 75 and one ice−cream cup is ₹ 20. How much amount did Arun pay to the cashier?

₹ 850

₹ 795

₹ 825

₹ 750

None of these

If a number is subtracted by two third of 75% of 600, the value so obtained is 120. What is the numbers?

180

120

160

240

None of these

By how much is 3/4 th of 968 less than 7/8 th of 1008?

154

146

165

158

None of these

Cost of 8 pens and 4 pencils is ₹ 176 and the cost of 2 pens and 2 pencils is ₹ 48. What is the cost of one pen?

₹ 16

₹ 14

₹ 12

₹ 18

None of these

On a School′ s Annul Day, sweets were to be distributed equally among 112 children of the school. But on that particular day, 32 children were absent. Thus, the remaining children got 6 extra sweets. How many sweets was each child originally supposed to get?

24

18

15

Cannot be determined

None of these

An AC consumes 8 units of electricity in 30 min and a bulb consumes 18 units of electricity in 6 hr. How much total unit of electricity will both AC and bulb consume in 8 days, if they run 10hr a day?

1250 units

1528 units

1248 units

1520 units

1620 units

1/4 of 3/5 of 6/5 of a number is 54. What is the number?

280

250

300

150

160

Veena’s monthly income is equal to the cost of 34 kg of nuts. Cost of 10 kg of nuts is equal to the cost 20 kg of apples. If the cost of 12 kg of apples is ₹ 1500, what is Veena’s annual salary?

₹ 1 lakh 20 thousand

₹ 1 lakh 2 thousand

₹ 2 lakhs 20 thousand

Cannot be determined

None of these

√1230+√4230=?

50

200

100

150

250

4329÷19+6464÷13=?

725

625

925

525

825

40% of 5051-3/5 th of 999=?

2145

2045

1945

1905

2165

∛54821×(303÷8)=?^2

48

38

28

18

58

601/49×399/81÷29/201=?

520

360

460

500

420

(24/9)^2×399/39÷41/899= ?

1600

1650

1700

1550

1750

7 7/12×6 7/19÷9 1/3=?

9

11

2

5

13

1599×199÷49-1398+3877=?

9400

9000

8700

8400

9200

4096×2/7×3/4=?

800

760

920

820

880

√2498×√626÷√99=?

110

90

200

160

125

180% of 25501+50% of 28999=?

62400

64000

60400

64200

61600

(341789+265108)÷(8936-3578)=?

150

115

135

100

125

29% of 725=60% of 315+?

28

30

15

18

22

∛598746

72

66

84

98

112

√4556+√7943-56=?

100

150

200

250

125

(775% of 523)÷777=?

5

12

19

26

29

7 3/11×626-7 2/3  =?

4445

4545

4495

4595

4515

√(?− 44.12)×4.98=75.22% of 139.77=?

485

445

455

475

465

? ÷14.77=26.21^2−5.96^2

4800

9600

6000

7200

8000

( √9.11+√(?)  )×(√25.5+√3.87  )=7^2

256

64

16

36

38

80.04%  of 150.16 + 60.02% of 50.07=?

150

125

210

175

187

3805.99/380.6×√485×1.5001=11× ?

28

30

32

34

36

1.31% of 1215 + 0.73% of 1150=?

22

24

26

28

30

(333% of 856) ÷ 49.95=?

43

41

47

39

57

?^2-137.99÷6=21.99×23.01

23

50

42

29

35

( 36.14 )^2  − ( 21.28 )^2  = ?

888

853

846

871

865

14.001×26.999×7.998= ?

4200

3000

3500

4000

2500