I is a set of natural numbers
1) is a set of 3 digit numbers leaves remainder of 2 when divided by 4.
2) is divisible by 11 but not by 13.
Number of elements in I ?
I is a set of natural numbers
1) is a set of 3 digit numbers leaves remainder of 2 when divided by 4.
2) is divisible by 11 but not by 13.
Number of elements in I ?
the radius of the front tyre of a gypsy is 5/pie m long and that of the rear tyre is 7.5/pie m long. what is the distance travelled by the gypsy after the first tyre has undergone 6 more revolutions than the rear tyre?
150 m
100 m
144m
180 m
Triplets consisting of three different numbers are formed from number 1 to 10.
1. How many of these triplets are such that sum of numbers is divisible by 3.
37,42,36,38
2.How many of triplets formed are such that sum of numbers is divisible by 9 and do not have 9 in them? 7,6,9,10

How to find the number of co-prime pairs of a number?
Let △ABC be a right triangle with AB = 17, BC = 15, and CA = 8. Let CD be thealtitude to the hypotenuse and let the angle bisector at B intersect AC at F and CD at E. What is the value of BE : EF?
(Ans: 15 : 2)
Approach please.......
3.
A shopkeeper purchased a certain number of chocolates at र5 for 4 and the same number of chocolates at र8 for 5 from a different place. He sold all the chocolates at 6 for र10. Find the approximate profit / loss percentage.
16.96
18.23
17.85
19.21
Ramesh purchased a car for र1.5 lakhs by paying र17600 as down payment. He has to pay the remaining amount in three equal annual instalments at 10% per annum compound interest in three years. Fin
d the value of each instalment.
र42540
र48360
र51480
र53240
र55280
A natural number N has 'k' distinct prime factors. If the total number of factors of N is 72, then what
is the product of all the possible values of k?
(a) 180 (b) 60 (c) 24 (d) 120
Approach?
find no. of integral solns for, x + y=xy
If a number is written as 100100100100100100100 in Base 2, how will it be written in Base 8?
(a) 4444444 (b) 7777777 (c) 2222222 (d) None of these
a lateral side of an isosceles triangle is 15cm & the altitude is 8cm.What is the radius of the circumscribed circle?
a) 9.625 b)9.375 c)9.5 d)9.125
From Quants by Arun Sharma - Extra practice exercise on geometry Ques #5
number of real values of x satisfying the equation log4 (x - 4)2 + log8 (28 - 6x)3 = 1
a)1 2)0 3)2 4)3
Anuj likes to jog in a park. While jogging he also calculates his speed and number of steps taken by him. He observes that the steps taken by him per minute are 5 times his speed in km/hr. What is the distance he covers per step if he jogs at uniform speed. Ans is 10/3m..
plz post the approach.
Find the Reaminder of (13^90)/180?... Any shortcut for this..??
12 ppl are to sit along the sides of a large table which has 6 chairs on each side.
in how many ways can they be seated if 3 men wish to sit on one particular side and 2 men on other side?
An outlet pipe empties a tank which is full,in 10 hours.If the inlet pipe is kept open,which inlets at the rate of 8 litres/minute,the outlet pipe would take 6 hours longer,find the capacity of the tank.
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What are the no. of factors of 1000000 which are less then 1000 but do not divide 1000 ?
😁Consider the set S = {1, 2 , 3 ,4,5.. 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements?
(1) 3
(2) 4
(3) 6
(4) 7