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Pranab is thrice as efficient as Ghulam, and Ghulam is twice as efficient as Krishna. If the trio work together, how long will they take to complete a job which Ghulam completes in 25 days.

If the sum of the squares and product of two numbers is 16 and 4 respectively, then the ratio of arithmetic mean and geometric mean is

Input: where 47 59 12 are they going 39

Which of the following steps will be the last but one?

16 boys can complete a work in 20 days. After how many days should the number of boys be increased by 25% so that the work is completed in 90% of the actual time?

If a = percentage drop in BSE sensex in eighth period and b = percentage increase in NSE sensex in fourth period, then what will be the relationship between a and b?

Ajay traveled along a path which was straight up to 10 m (from point P to point T) and then went along an arc of a circle (from point T to point B) to reach his destination (B). Path PT is tangent to the circle at point T. If Ajay had travelled along the straight line joining his starting point P and his destination point B, he would have traveled 20 m and would have passed through the centre of the circle to which the arc belongs. The radius of the circle is(to which arc TB belongs) ___ m.

$\Delta ABC$is an isosceles right angled triangle and BD $\perp$ AC, DC = 5. Find x.

What is the ratio of total consumption of petroleum products in 2010 to that in 2011?

If M is in GROUP II, then in how many ways the GROUP I can be selected?

I. $3x^2-15x+18=0$

II. $y^2-3y-4=0$

What number is 10% of 1000?

If a quarter kg of potato costs 60 paise, how many paise will 200 gm cost?

There are three boats $B_1,B_{2}and{B}_3$ working together they carry 60 people in each trip. One day an early mottling $B_1$ carried 50 people in few trips alone. When it stopped carrying the passengers $B_{2}and{B}_3$ started carrying the people together. It took a total of 10 trips to carry 300 people by $B_1,B_{2}and{B}_3$. It is known that each day on an average 300 crosses the river using only one of the 3 boats $B_1,B_{2}and{B}_3$. How many trips would it take to$B_1$ to carry 150 passengers alone?

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

In each of the questions below are given three statements followed by three Conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements :
All buildings are mirrors.
Some mirrors are pens.
No pen is paper.

Conclusions:
I. Some papers are buildings.
II. Some pens are buildings.
III. Some papers are mirrors.

The digit at the unit place of $(1!{)}^2+(2!{)}^2+(3!{)}^2+(4!{)}^2......(2015!{)}^2$

Find the next term of the progression: 4, 8, 14, 22, _

Two students appeared at an examination full stop one of them scored 5 marks more than the other and his marks was 56% of the dum of their marks.the marks obtained by them are-

1)39,30

2)41,32

3)42,33

4)43,34

A person starts multiplying consecutive positive integers starting from 20. How many numbers should he multiply before he will have a result that will end with 3 zeroes?

In the given DPQR and D PST; PS=8, ST=7, QR=35 and QS=PT. Also, $\angle$PST = $\angle$PRQ. What is the value of PT?

Four out of seven Chestnut High School Chess Academy students (A, B, C, D, E, F and G) are to be selected in a school chess team in such a way that if A is selected, then B cannot be in that team and if B is selected, then E cannot be in that team. If one of D and F is selected, then the other must be chosen. Which of the following statements must be true?

Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.
At what time is the order placed by Client 3 completely served?

Find gcd $(2^{100}-1,2^{120}-1)$.

Pass entries for the following:

(a) Out of Insurance premium paid this year. t 1,500 related to next year.

(b) Goods costing 20,000 sold to Manoj at a profit of 20 $\%$ on cost less 10$\%$ trade discount.

(c) Goods worth 2,500 and cash 500 were given away as charity.

Total number of male employees working in company C over all the years together is approximately what percentage of the total number of employees working in the year 2007 in all the companies together?

Question 79(iv)

Given, the principal = Rs. 40000, rate of interest = 8% per annum compound annually. Find Amount if period is two year.

1. undefined
2. undefined
3. undefined
4. undefined

What’s the area of the shaded region? Given that the side of the square = 1 unit.

Find the remainder when 2^89 is divided by 89

How many three digit odd nos. can be formed from the digits : 2, 0, 3, 5? (Repetition not allowed).

A alone can do a piece of work in 12 days and B alone can do in 16 days. A and B undertook to do it for Rs.3600. With the help of C, they completed the work in 6 days. How much money is to be paid to C?

$Forwhatvaluesofaislog(a{x}^2+x+1)definedforallvaluesofx?$

Statements: P $ Q; N # M; M R; R * P

Conclusions:

I. P + N

II. Q $ M

C and D are points on the circle with diameter AB such that $\angle AQB=2\angle COD,$ where O is the centre of the circle. Q is the point of intersection of AC and DB inside the circle. The tangents at C and D meet at P. The circle has radius 1. The distance of P from its center is

1. So how big is the potential market?
A. But he ends up spending thousands more each year on hardware upgrades and software overhauls.
B. Analysts say the new machines will appeal primarily to corporate users.
C. An individual buyer can pick up a desktop computer for less than $2000 in America.
D. For them, the NCs' best drawing card is its promise of much lower maintenance costs.
6. NCs, which automatically load the latest version of whatever software they need, could put an end all.

(CAT 1996)