How many natural numbers less than 100 when squared and the divided by 24 leaves a remainder of 1?
1) 30
2) 33
3) 32
4) 34 Skip
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32?
Q(1)- In how many ways six distinct chocolates can be distributed to three boys such each boy receive at least one?
A. 20 b. 120 C. 445 D. 990 (ANS)
Q(2)- What is the total no. of ways for selecting 20 balls out of an infinite number of blue,green and yellow balls?
Q(3)- 1.what equal annual instalment will discharge a debt of 2070 due in 5 yrs at 10% simple intrst(1st installmnt paid aftr 1st yr)? 2. ans the above ques. if interest is compounded? 3. ans the question if interest is paid at the end of the year?
Q(4)- There are two vessels one containing 12 ltrs of water,the other 6 litress of wine.if a liter be taken out of each and poured in to other,and if this be repeated 4 times ,find how much of wine and water will be in each?
Q(5)- if interest compounded quaterly, which of the following is necessarily true regarding the effective annual rate of interest? a) it is same for every year b) it becomes four times that of the previous year c) it increases by 4% every year d) none
Q(6)- 1. x is a two digit odd number , y is a natural number more than 36. if 1/x + 2/y= 1/18 then how many possibilities exist for ( x,y)? a) 5 (ANS) b) 4 c) 3 d) 6
2. n is a perfect square having atleast 3 digits. its last two digits are equal and not equal to '0' then how many five digit values can n assume? a) 5 b) 6 c) 7 d) 9 (ANS)
Q(7)- using the digits 9,8,7,6,5 exactly once, two numbers n1 and n2 are form such that their product is the max possible number. find the sum of n1 & n2? a) 971 (ANS) b) 863 c) 962 d) 1052
Q(8)- 1. IS THE FOUR DIGIT NO 'AB56' A PERFECT SQUARE? A) YES B) NO C) CANNOT SAY (ANS)
2. IS 'B36' A PERFECT SQUARE? A) YES B)NO (ANS) C) CANNOT SAY
3. IF 'A6B' IS APERFECT SQUARE, IS THE DIGIT A ODD? A) YES (ANS) B) NO C) CANNOT SAY
4. THE PRODUCT OF SEVEN DIGIT NO & EIGHT DIGIT NO CAN HAVE DIGITS.........? A) 14 B) 15 C)EITHER 14 OR 15 (ANS) D)NONE
5. THE PRODUCT OF A SIX- DIGIT, NINE-DIGIT AND A TWELVE DIGIT NO CAN HAVE DIGITS.....? A) 26 B) 27 C)26 OR 27 D)25 OR 26 OR 27 (ANS)
6. HOW MANY DIGITS WILL THERE IN THE (SQRT) OF A FIFTEEN-DIGIT NO.? A) 7 B) (ANS) 8 C)7 OR 8
7. HOW MANY DIGITS IN (ABCD)^4 AND IN ( 2ABC)^4?
8. HOW MANY DIGITS WILL BE THERE IN CUBE-ROOT OF A 23-DIGIT NO? A) 7 B) 8 (ANS) C) CANNOT SAY.....................................................PLZ EXPLAIN THE CONCEPT OF THESE TYPE OF QUES
Q(9)- plz explain me the concept of shares & stock by explaining these ques
1. what is the annual income from 21500/- invested in 3% stock at 7.5% premium? (ANS-600)
2. which of the following is a better investment 4% stock at 84 or 8% stock at 128? (ANS-8% STOCK)
3. a person invest 19400/- in 5% stock at 97. he then sells it when it is quoting 104/-. he then re invests this money in 4% stock at 100, which he sells when yhe stock is quoting 105/-. find the overall profit of the transaction? (ANS-2440)
4. a man owned 25000/- worth of 6% stock . when it was quoting 228/- he sold it and invested the proceeds in 7.5% stock quoting at 135/-, so that his annual income doubled . how much money was he required to bring in?
Q(11)- how many 4 digit perfect square 'abcd' are possible such that 'dcba' is also a perfect square and is also a factor od 'abcd'? (a is not equal to d)................plz explain it a)0 b)1(ANS) c)2 d)more than 2
Q(12)- If |x-4|+|y-4|=4,then how many integer values can the set (x,y) have? a. infinte b.5 c.16 (ANS) d.9
Q(13)- In how many ways can 20 people be seated at two different circular tables, each of which can accommodate 10 people?
Q(14)- A boat is to be rowed by 10 men; 5 on the left side and 5 on the right side. Of the 10 men, available two cannot row on the right side and three cannot row on the left side. In how many ways can the 10 men be arranged? ANS-144000
A shopkeeper increases the price of an article by X% and then decreases it by X%. Due to this the price of the article decreases by Rs 400 and the whole process is repeated once more and the price pf the article becomes Rs 1764. Find the value of X.. ???
(Solution also pls..)
Find the probability that among 7 persons, 2 were born on Monday, 2 on Thursday.
What is the solution?
Three variables x,y,z have a sum of 30. All three of them are non-negative integers. If any two variables don't have the same value and exactly one variable has a value less than or equal to three, then find the number of possible solutions for the variables.A) 98 B) 285 C) 68 D) 294
f1(x) = X if 0
= 1 if x> or equal to 1
= 0 if otherwise
f2(X) = f1(-X) for all X
f3(X)= - f2(X) for all X
f4(X)= f3(-X) for all X
How many of the following product are necessarily zero for every x?
f1(x)f2(x) , f2(x)f3(x) , f2(x)f4(x) ?
70%of the students who joined LRI last year play football ,75% play cricket,80% play basketball and 85% play carrom.The minimum percentage of students who play all four game is:
- 15%
- 5%
- None of the above
- 10%
- 20%
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Q(16)- Zada has to distribute 15 chocolates among her 5 children A,B,C,D,E. The condition is that A should get between 3-6 chocolates. How many ways are there to do so? Options: a)425 b)435(ANS) c)1001 d)419
Question:The interior angles of a polygon are in Arithmetic Progression. If the smallest angle is 120º and common difference is 5º, then number of sides in the polygon is: (A) 7(B) 8(C) 9(D) None of the above
How do you solve this sum...please share the approach
p and q are positive numbers such p^q=q^p and q=9p.The value of p is
- (9)^(1/3)
- (9)^0.5
- (9)^(1/6)
- (9)^(1/9)
- (9)^(1/8)
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Approach batao yar: if we have to apply wilson theorem to a certain no in the form of
(N-3)!/N
Note: question in actual form is [(20!+20^23)/23]
Find the number of positive integers N ≤ 51 for which 3x + Ny = 51 do not have any integral solution.A. 0B. 3C. 17D. 34