41294.The L.C.M. of two numbers is 140. If their ratio is 2:5, then the numbers are:
28,70
28,7
8,70
8,40
None of these
41295.If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?
3
1
4
0
41296.The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:
8100
17600
44100
None of these
41297.(xn+yn) is divisible by (x-y):
for all values of n
only for even values of n
only for odd values of n
for no values of n
41298.The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each case:
15
20
35
40
41299.Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6 and 7 leaves a remainder 2 in each case.
422
842
12723
None of these
41300.What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?
10
12
14
None of these
41301.If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:
3 but not by 9
9
6
27
41303.In how many ways can a number 6084 be written as a product of two different factors ?
27
26
13
14
41304.What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?
1043
1073
1103
None of these
41305.P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is:
11
121
242
None of these
41306.Let C be a positive integer such that C + 7 is divisible by 5. The smallest positive integer n (>2) such that C + n2 is divisible by 5 is:
4
5
3
Does not exist
41307.Four bells begin to toll together and then each one at intervals of 6 s, 7 s, 8 s and 9 s respectively. The number of times they will toll together in the next 2 hr is:
14 times
15 times
13 times
11 times
41308.The product of two numbers is 16200. If their LCM is 216, find their HCF.
75
70
80
Data inconsistent
41309.There are four prime numbers written in ascending order of magnitude. The product of first three is 385 and that of last three is 1001. Find the first number.
5
7
11
17
41310.M and N are two distinct natural numbers. HCF and LCM of M and N are K and L respectively. A is also a natural number, which of the following relations is not possible?
K*L=A
K*A=L
L*A=K
None of these
41311.On dividing a number by 999,the quotient is 366 and the remainder is 103.The number is:
364724
365387
365737
366757
41312.The difference between two numbers is 1365.When the larger number is divided by the smaller one ,the quotient is 6 and the remainder is 15.The smaller number is:
240
270
295
360
41314.A rectangular courtyard 3.78 meters long and 5.25 meters wide is to be paved exactly with square tiles ,all of the same size. What is the largest size of the tile which could be used for the purpose?
14 cm
21 cm
42 cm
None of these
41316.What will be obtained if 8 is subtracted from the HCF of 168, 189, and 231?
15
10
21
None of these
41323.If log{(a+b)/3} = 0.5(log a + log b), then the correct relation between a and b is:
a2+b2 = 7ab
a2-b2 = 7ab
(a+b)2 = 2
(a+b)/3 = (1/2)(a+b)
None of these
41330.If (a4 - 2a2b2 + b4)x-1 = (a-b)2x (a+b)-2, then x equals to:
(a - b) / (a + b)
log (a2 - b2)
log (a + b) / log (a - b)
log (a - b) / log (a + b)
41331.If a, b, and c are in geometric progression then loga n, logb n and logc n are in:
AP
GP
HP
None of these
41333.If antilog x 5 = 30, what can you infer about x?
x is a number between 1 and 2
x is 305
x is a number between 2 and 3
None of these
41334.Every time x is increased by a given constant number, y doubles and z becomes three times. How will log(y) and log(z) behave as x is increased by the same constant number?
Both will grow linearly with different slopes
Both will grow linearly with same slopes
y will grow linearly, while z will not
z will grow linearly, while y will not
41335.x triples every second. How will log2x change every second?
It will double every second
It will triple every second
It increases by a constant amount every second.
None of these
41336.f(x) grows exponentially with x, how will f(log(x)) grow?
Exponentially
Linearly
Quadratically
None of these