Q.1
Find the LCM and HCF of 2.5, 0.5 and 0.175.
Q.2
A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:
Q.3
Which among $${2^{\frac{1}{2}}}$$, $${3^{\frac{1}{3}}}$$, $${4^{\frac{1}{4}}}$$, $${6^{\frac{1}{6}}}$$ and $${12^{\frac{1}{{12}}}}$$ is largest?
Q.4
If x : y be the ratio of two whole numbers and z be their HCF, then the LCM of those two numbers is:
Q.5
A heap of pebbles when made up into group of 32, 40, 72, leaves the remainder 10, 18 and 50 respectively. Find least number of pebbles in the heaps.
Q.6
1397 x 1397 = ?
Q.7
Three numbers which are co-prime to each other are such that the product of the first two is 119 and that of the last two is 391. What is the sum of the three numbers?
Q.8
The last three-digits of the multiplication 12345 × 54321 will be
Q.9
Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares?
Q.10
Three numbers which are co-prime to one another are such that the product of the first two is 551 and that of last two is 1073. The sum of the three numbers is:
Q.11
The sum and products of two numbers are 12 and 35 respectively. The sum of their reciprocals will be:
Q.12
a, b, c and d are negative integers. If ab + ac + ad = 0 then a × b × c × d is always
Q.13
Which one of the following is not a prime number?
Q.14
Find unit digit of product (173)45 × (152)77 × (777)999.
Q.15
The last digit of the number obtained by multiplying the numbers 81 × 82 × 83 × 84 × 86 × 87 × 88 × 89 will be
Q.16
The greatest number which will divides: 4003, 4126 and 4249, leaving the same remainder in each case:
Q.17
LCM of two numbers is 936. If their HCF is 4 and one of the numbers is 72, the other is
Q.18
The rightmost non-zero digit of the number 302720 is
Q.19
The sum of the digits of a two-digits numbers is 12 and when the digits of the to digit number are interchanged, the new number is 36 more than the original. What is the Original number?
Q.20
The sum of two numbers is 684 and their HCF is 57. Find all possible pairs of such numbers.
Q.21
How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
Q.22
A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they again at the starting point ?
Q.23
The unit digit of (316)34n + 1 is :
Q.24
In a 4-digit number, the sum of the first two digits is equal to that of last two digits. The sum of the first and last digits is equal to third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?
Q.25
The HCF and LCM of two numbers are 44 and 264 respectively. If the first number is divided by 2, the quotient is 44. The other number is:
Q.26
(112 × 54) = ?
Q.27
It is being given that (232 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
Q.28
A certain number of the capsule were purchased for Rs. 176. Six more capsule could have been purchased in the same amount if each capsule were cheaper by Rs. 3. What was the number of capsules purchased?
Q.29
An even number can be expressed as the square of an integer as well as cube of another integer. Then the number has to be necessarily divisible by?
Q.30
Two numbers are in the ratio 3 : 4. If their LCM is 240, the smaller of two number is
Q.31
(935421 x 625) = ?
Q.32
The largest 4 digit number exactly divisible by 88 is:
Q.33
What is the least number when divided by 8, 12, 20 and 30 leaves a remainder 4 and when divided by 21 leaves a remainder 7 ?
Q.34
Six bells start ringing together and ring at intervals of 4, 8, 10, 12, 15 and 20 seconds respectively. how many times will they ring together in 60 minutes ?
Q.35
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for first time?
Q.36
A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in last row are:
Q.37
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
Q.38
In a certain series, each number except the first and second is obtained by adding the previous two numbers. If the first no is 2 and sixth no is 26, then the seventh number is:
Q.39
Three-fifth of a number is equal to 70% of another number. What is the ratio between the first number and second number ?
Q.40
A virus known to cause a deadly disease, is also a rapid multiplier. It is known that it can double itself every 30 minutes. If a container is completely full of this virus after 50 hours, when was the container half empty?
Q.41
Find the remainder when 73 × 75 × 78 × 57 × 197 × 37 is divided by 34.
Q.42
Find the remainder when 6799 is divided by 7.
Q.43
What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
Q.44
Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?
Q.45
If (-1)n + (-1)4n = 0, then n is
Q.46
The LCM of two number is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is:
Q.47
The smallest number of four digits which on division by 4, 6, 10 and 15 leaves a remainder 2 in each case is:
Q.48
One-third of a tower is painted black, $$\frac{5}{{11}}$$th of the remaining part is painted red and the rest is painted white. If the white part measures 60 ft.,the total height of the tower is-
Q.49
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
Q.50
The remainder when (1213 + 2313) is divided by 11.
0 h : 0 m : 1 s