NMAT Window 4 Questions

Quant :-

1) Find trailing zeros

In 100! In base 16-  ans is 24olcapacity of tank??

half profit according their investments ..total profit 30,000 rs..what is B 's share??

Q3) (10^0+10^1+10^2+..)mod 8

Q4) There is one tank having hole @ bottom ...hole can empty tank in 6 hours..inlet valve ws also there..it is filling tank..when both together open,tank ll empty in 30 hours...if inlet valve is filling tank by 3 liter per minute then what is the capacity of tank??

Q5) Ratio of height of cone to radius height was given 12cm..& upto 9 cm felt by chocolate ice cream given & remaining part was felt by vanila ice cream

Q2) a,b,c in DCvesting in such a way there investments form ap..nw they decided to share their profit equally of total profit @ year end &nk having hrs..inlet valve ws also there..it is filling tank..when both together open,tank ll empty in 30 hours...if inlet valve is filling tank by 3 liter per minute then what is the

logx=log 24- log 2

A can do a work in 6 hrs, B can do the same work in 8 hours. A,B,C together take 3 hours to do the work.
If they get 3000 from the work, how much should be C's share?

How many 4 digit numbers can be formed using 0,1,2,3,4 which are divisible by 12. (Not repeated)

4 intergers are in proportion. the sum of the extremes is 7 and the ration of 1st 2 terms is 1:2. if the sum of the squares of the numbers is 50. find the avrg of the numbers.??

1. A borrows a sum of 10000 from B at q at a rate of 8% for 3yrs and lends the same amount to C compounded annually at the same rate for 3 yrs. What amount does A gain at the end of 3 yrs?
2. Some number was given in binary format and they asked what's the value as base 3.
3. 5 eqs were given and they asked which eq has real roots
4. Again 5 eqs and asked which has slope of 1/2 and some distance from a point. ( I don't rem the distance and point)

Q8) the CP of 3 kinds of sugar are 5,6,6.80. in what proportion should they be mixed so that the price of the mixture be 6.5 per bag ?`
1:3:10

Q9) A man buys milk at rs5 a L and after adding water sells it at rs 6 a L, thereby making a profit of 33 ⅓% . Find the proportion of water to milk in the mixture.

today's paper...the probability that RCB will win is 3/5 and the probability that csk will win is 2/7 find the probability that non of the 2 teams win the tournament

Q) total investment 60laks, 4 partners! Partner 1 invested 1/2 of others, partner 2 invested 1/3 of others partner 3 invested 1/4 of others! How much did partner 4 invest
A)1300000

1*2*3*4...
M has 58 zeroes
Total no of factors of m

A.           20
Q12) 1^2-3^2+5^2-7^2+............99^2-101^2

1. Raj writes numbers from 1 to 200 on a sheet of paper how many are not divisible either by 3 or 7 .

2 . A can do a work in 6 hours , B can do a work in 8 hours. A,B,C can do a work in 3 hours. In how many hours can C alone do the work.

3. 11 numbers are written in series such that average of all the numbers is equal to the 6th digit . Sum of first 6 is 435 and sum of last 6 is 335 . Find the 6th number . ( not sure about values of sum )

4. A dice is thrown probability that you get an even number after even number of throws.

5. Probability of success of an event is 1 in 10 what's the probability of 4 success in 5 attempts .

6. Result of (remainder of 9^100/8) - ( remainder of 7^99/8)

7. Number of times digit 5 comes from 1 to 1000

8. How many ways can you arrange a group of 4,3,3 in a row such that all people ( of a group) stay together .

9. Sn = 1+1/6+1/6^2+1/6^3 .... 1/6^n-1)Find value of n for which 6/5 - Sn <= 1/100

10. If a person takes 10000 at 8% interest rate for 3 years (SI) and lends the same at 7% compounded annually for 3 years what's his profit/loss %.

11. If A= 1+ 1/2^2+1/3^2+1/4^2....

B= 1+1/3^2+5^2+7^2 ....

What's the relation between A and B .

12. In how many ways can 5 chocolates be divided among 3 children's if everyone gets at least 1 .

Verbal:

1) LACONIC (antonym) - verbose
2) BRIGHT (antonym) - dreary
3) EXACERBATE - to make worse (pain/anger)
4) Occidental - west
5) Vindicate - clear of blame/guilt
6) Malinger-pretend to be ill in order to escape duty or work.
7) Guile- craft, cunning, slyness
8) Salacious- lustful

9)Vindicate(synonym)-clear (someone) of blame or suspicion.

10)Appease(synonym)-pacify or placate

11)Sartorial(syn)-relating to tailoring, clothes, or style of dress.

12) Vacuous- having or showing a lack of thought or intelligenc

13) Puerile-childishly silly and immature

14) Insipid-tasteless

15) Bliss-perfect happiness/great joy

16) cor extravagant in language

1) Accomplice
2) Appease
3) Bliss
4) Bright
5) Cantankerous
6) Capricious
7) Censure
8) Clandestine
9) Condemn
10) Denial
11) Exacerbate
12) Execrate
13) Fallacious
14) Gargantuan
15) Grandiloquent
16) Guile
17) Insipid
18) Laconic
19) Malevolent
20) Malign
21) Malinger
22) Obloquy
23) Occidental
24) Onerous
25) Opprobrium
26) Puerile
27) Revile
28) Salacious
29) Sartorial
30) Surreptitious
31) Tranquillity
32) Vacuous
33) Veracity
34) Vilify
35) Vindicate
That's it...
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