Kamen read 2/3 of a book and calculated that the read part is with 90 pages more than the unread. How many pages is the whole book?

How many even integers n, where, are divisible neither by seven nor by nine?

Find the least number which when divided by 35, leaves remainder 25; when divided by 45, leaves remainder 35 and when divided by 55, leaves remainder 45.

What is the smallest number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, when divided by 8 leaves a remainder of 7, when divided by 7 leaves a remainder of 6 and so on until when divided by 2 leaves a remainder of 1?

What is the remainder left after dividing 1! + 2! + 3! +...... +.........¦ + 100! By 7?

Which of the following has most number of divisors?a. 99 b. 101 c. 176 d. 182

If one-third of one-fourth of a number is 15, then three-tenth of thatnumber is:a. 35 b. 36 c. 45 d. 54

9548 + 7314 = 8362 + ?a. 8230 b. 8410 c. 8500 d.8600

Find the number which when multiplied by 15 increased by 196.a. 14 b. 20 c. 26 d. 28

In the following sum, ‘?’ stands for which digit?? + 1? + 2? + ?3 + ?1 = 21?a. 4 b. 6 c. 8 d. 9

Which of the following is a pair of co-primes?a. (16, 62) b. (18, 25) c. (21, 35) d. (23, 92)

34.95 + 240.016 + 23.98 = ?a. 298.0946 b. 298.111 c. 298.946 d. 299.09

The average of five consecutive odd numbers is 61. What is thedifference between of these highest and lowest numbers?a. 2 b. 5 c. 8 d. None of these

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. 84 d. 72

For the integer n, if n3 is odd, then which of the following statements are true?I. n is odd II. n2 is odd II. n2 is evena. I only b. II only c. I and II only d. I and IIIonly382. 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 d. 12, 24, 36

How many digits will be there to the right of the decimal point in theproduct of 95.75 and 0.2554?a. 5 b. 6 c. 7 d. 9

The sum of two numbers is 528 and their H.C.F. is 33. The number ofpairs of numbers satisfying the above conditions is:a. 4 b. 6 c. 8 d. 12

The taxi charges in a city comprise of a fixed charge, together with the charge of the distance covered. For a journey of 16 km, the charges paid are Rs.156 and for a journey of 24 km, the charges paid are Rs.204. What will a person have to pay for traveling a distance of 30 km?a. Rs.236 b. Rs.240 c. Rs.248 d. Rs.252

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:a. 74 b. 94 c. 184 d. 364

What is the two-digit number?I. Sum of the digits is 7.II. Difference between the number and the number obtained by interchanging thedigits is 9.III. Digit in the ten’s place is bigger than the digit in the unit’s place by 1.a. I & II only b. II & III only c. All I, II & III d.None of these

In and examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:a. 35 b. 38 c. 40 d. 42

A fires 5 shots to B’s 3 but A kills only once in 3 shots while B killsonce in 2 shots. When B has missed 27 times, A has killed:a. 30 birds b. 60 birds c. 72 birds d. 90 birds

The greatest number of four digits which is divisible by 15, 25, 40 and75 is:a. 1008 b. 1015 c. 1022 d.1032

The least number by which 1470 must be divided to get a number which is a perfect square, is:a. 5 b. 6 c. 15 d. 30

If x and y are positive integers such that (3x+7y) is a multiple of 11, then which of the following will also be divisible by 11?a. 4x + 6y b. x + y + 4 c. 9x + 4y d. 4x – 9y

The sum of three consecutive odd numbers is always divisible by:I. 2 II. 3 III. 5 IV. 6a. Only I b. Only II c. III. Only I & II d. Only II and IV

The different between a two-digit number and the number obtained by interchanging the digits is 36. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ?a. 4 b. 8 c. 16 d. 18

The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers?a. 29 b. 70 c. 92 d. None of these

A pineapple costs Rs.7 each. A watermelon costs Rs.5 each. X spends Rs.38 on these fruits. The number f pineapples and purchased is:a. 2 b. 3 c. 4 d. 5

Which of the following numbers is divisible by 3, 7, 9 and 11?a. 639 b. 2079 c. 3791 d. 37911

About the number of pairs which have 16 as their H.C.F. and 136 astheir L.C.M., we can definitely say that:a. No such pair exists b. Only one such pair existsc. Only two such pairs exist d. Many such pairs exist

The product of two numbers is 1320 and their H.C.F. is 6. The L.C.M. of the numbers is:a. 220 b. 1314 c. 1326 d. 7920

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

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 inceased by 99 if its digits are reserved. The number is 	 A.  145	B.   253 	 C.  370	 D.  352

A positive integer, which when added to 1000, gives a sum which is greater than when it is multiplied by 1000. This positive integer is 	 A.   1	 B.  3 	C.  5	 D.  7

The digit in unit's place of the product (459 ×46×28×484) is 2, the digit in place of * is 	 A.  3	 B.   5 	C.  7	 D.  9

How many numbers between 200 and 600 are divisible by 4,5 and 6? 	 A.  5	 B.  6 	C.  7	 D.  8

325325 is a six digit number.It is divisible by 	 A.   7 only	 B.  11 only 	 C.  13 only	 D.  all 7,11,and 13

The largest natural number which exactly divides the product of any four consecutive natural numbers is 	 A.   6	 B.  12 	 C.  24	 D.  120

A number when divided by the sum of 555 and 445 gives two times their difference the quotient and 30 as the remainder. The number is 	 A.  1220	 B.   1250 	C.  22030	 D.   220030

What least number must be substracted from 427398 so that the remaining number is divisible by 15? 	 A.   1	 B.  3 	C.  11	 D.  16

The least number by which 72 must be multiplied in order to produce a multiple of 112, is 	 A.  6	 B.  12 	 C.  14	 D.  18

The largest number amongst the following that will perfectly divide 101100 - 1 is10010,000100100100,000

How many keystrokes are needed to type numbers from 1 to 1000?3001289327042890

Let n be the number of different 5 digit numbers, divisible by 4 with the digits 1, 2, 3, 4, 5 and 6, no digit being repeated in the numbers. What is the value of n?144168192None of these

A person starts multiplying consecutive positive integers from 20. How many numbers should he multiply before the will have result that will end with 3 zeroes?111065

N is the smallest number that has 5 factors. How many factors does (N - 1) have??2345

If f(x) is the number of primes less than or equal to x, find the value of f(90) - f(80).3214

If a three digit number abc has 2 factors, how many factors does the 6-digit number abcabc have?241636atleast 20 factors

How many positive integers less than 500 can be formed using the numbers 1,2,3,&5 for the digits?a)48b)52c)66d)68e)84

LCM of two numbers is 48..The numbers are in ratio 2:3.The sum of numbers is

Cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 43.What would her answer have been if she had worked the problem correctly?A. 15B. 20C. 25D. 30E. 10

HCF and LCM of two numbers are 84 and 21.If ratio oftwo numbers is 1:4.Then largest of two numbers is

The numerator of fraction is less than its denominator by '2'. When '1' is added to both the numerator and denominator we get another fraction.The sum of these two fractions is 19/15.Find the fraction.A)3/5,14/3B)1/15,4/1C)5/3,14/5D)3/7,12/5E)None

HCF of two numbers is 23,and other factors of LCM are13,14.Largest number is

If n is an integer, which of the following must be even?A.   n+1B.   n+2C.   2nD.   2n+1E.   n^2

The least number which should be added to 2497 sothat sum is divisible by 5,6,4,3 ?

If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must beA. 2B. 5C. 6D. 7E. 14

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

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) 648 B) 1800 C) 2 700 D) 10,800 E) 64 800

If x is the product of the positive integers from 1 to 8, inclusive, and if i,k,m, and p are positive integers such that                      x=(2^i)(3^k)(5^m)(7^p), then i+k+m+p=A. 4B. 7C. 8D. 11E. 12

What is the lowest positive integer that is divisible by each of the integers 1 through 7,inclusive?A)  420B)  840    C) 1260D) 2520E) 5040

 when N is divided by 5, the remainder is 3. what is the remainder when 7N is divided by 5?

 When a is divided by 7, the remainder is 5; and when b is divided by 7, the remainder is 4. What is the remainder when a + b is divided by 7? 

If m is divided by 5 leaves a remainder is 2, while n is divided by 5 leaves a remainder of 4, find the remainder when m+n is divided by 5?

 What is the smallest whole number that has a remainder of 1 when divided by 4, a remainder of 1 when divided by 3, and a remainder of 2 when divided by 5?

In one store in the afternoon sold twice more pears, than in the morning. During the whole day they sold 360 kg. pears. How many kilograms of pears are sold in the morning and how many in the afternoon?

Kamen read 2/3 of a book and calculated that the read part is with 90 pages more than the unread. How many pages is the whole book?

One tract can be ploughed with 6 tractors for 4 days, if they plough 120hectares a day. Two of the tractors were moved to another tract. The rest 4 ploughed the same tract for 5 days. How many decares average a day ploughed the 4 tractors? 

One student thought of a number, multiplied it by 2. From the received product subtracted 138 and got 102 . Which is the number the student thought of? 

For one year from two cows were milked 8100l. The next year the first cow increased her yield of milk with 15% and the second one with 10%. So they milked 9100 l. from the two cows. How many litres are milked from every cow during the first and the second year?

To be able to make one order for pieces in time a team should make 25 pieces a day. After 3 days the team increased the productivity with 5 pieces and made 100 pieces over the plan for the exact time. Fine how many details the team made and for how many days?

A company hires a fleet of buses to transport its workforce to a conference. If 689 workers attended the conference, and each bus seats 35 passengers, how many buses are required?

How many five-digit numbers can be formed with the digits 0, 3 and 5, if a digit can be used any number of times?A. 14        B. 15     C. 108       D. 162    E. 243

A seven digit number is such that both its first and last digits are 1 and the rest of the digits are zero except for the middle digit.Also,the number is divisible by 13.What is the middle digit?A.3B.2C.1D.4 E.None of these

How many 3-digit numbers don't have an even digit or a zero?a)20b)30c)60d)80e)125

A set has exactly five consecutive positive integers starting with 1. What is the percentage decrease in the average of the numbers when the greatest one of the numbers is removed from the set ?a) 5 b) 8.5c) 12.5 d) 15.2e) 16.66

Find the least number which when divided by 11, 15 and 20 gives the remainders 7, 11 and 16 respectively.A. 676B. 656C. 576D. 575E. 780

The product of the digits of a two-digit number is twice as large as the sum of its digits.If  we subtract 27 from the required number,we get a number consisting of the same digits written in the reverse order.Find the number.A.63B.72C.54D.49E.44

I collected some money by raising subscription for opening  a library . If the whole amount collected be Rs. 160 and each person subscribed as many 10 paise as there were subscribers , altogether , find the amount paid by each subscriber .A. Rs. 10B. Rs. 15C. Rs. 8D. Rs. 4E. None of these

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.16B.27C.32D.48E.12

The first term of a sequence is 2005.Each succeeding term is the sum of the "cubes of the digits of the previous term.what is the 2005 th term of the sequence?A.29B.55C.85D.133E.250

Find the unit’s digit n the product 2467 153 * 34172 ?