SAT - Problem Solving - Question of the Day

Three lighthouses are visible from the promenade at Rivermouth. One flashes every 1½ minutes, another flashes every 2 minutes, and the third flashes every 50 seconds.

All three have just flashed at the same time.

How long will it be before they all flash at the same time again?

A. 6.0 minutes

B. 7.5 minutes

C. 10.0 minutes

D. 30.0 minutes

E. 150.0 minutes

Thinking Skills Assessment Problem Solving...

It is 4.30 pm and Jane, Jean and June

have just arrived together at the Ritzy

 cinema. Jane wants to see 'The Rock',

but Jean is determined to see 'Mission

Impossible' and June would rather see

'Empire Records', so they decide to

 split up.

What is the earliest possible time

 that Jane, Jean and June can

arrange to meet together after their

 films?

A. 6.45         B. 7.05

C. 7.10         D. 7.20

E. 8.20

Thinking Skills Assessment (TSA) ... Problem Solving Question

Gumbey and Sons have decided it is time to modernise their image. To go with their new steel and glass office building they have decided to change the company name. A number of acronyms have been shortlisted and, to help choose between them, the company chairman suggests they should choose a name which, when painted vertically from top to bottom on the new glass front door will read the same from inside and out.

Which of the following names should they choose?

A. TIME  

B. NONA

C. DOOD  

D. MITA

E. WEEM

SAT - Heart of Algebra problem

   Devin is a landscaper who needs to prepare different types of grass seed for his customers' yards. Bluegrass seed costs $2.00 per pound while drought-resistant seed costs $3.00 per pound. If for a particular day the two types of grass seed totaled $68.00 and together weighed 25 pounds, how many pounds of bluegrass seed did Devin prepare?

  a. 4

  b. 7

  c. 18

  d. 21

  e. 25

Thinking Skills Assessment Test (TSA).......

Lenton Cars hire out cars at a cost of £50.00 per day if the number of miles travelled is less than 80. There is an extra charge of £1.00 for every mile travelled over 80 miles. Dunford Hire charge £60.00 per day for taking the car out and then 50 p for every mile travelled.

For how many miles travelled would the cost of hiring a car be the same for both hire companies?

A. 100

B. 130

C. 140

D. 170

E. 180

Question of the day - Number Theory

Three Vice Presidents (VP) regularly visit the plant on different days. Due to labour unrest, VP (HR) regularly visits the plant after a gap of 2 days. VP (Operations) regularly visits the plant after a gap of 3 days. VP (sales) regularly visits the plant after a gap of 5 days. The VPs do not deviate from their individual schedules. CEO of the company meets the VPs when all the three VPs come to the plant together. CEO is on leave from January 5^th to January 28^th, 2012. Last time the CEO met the VPs on January 3, 2012. When is the next time the CEO will meet all the VPs?

1. February 6, 2012
2. February 7, 2012
3. February 8, 2012
4. February 9, 2012
5. None of the above

Quiz - Time and Work

Ques 1.

Two pipes P and Q can fell a cistern in 24 min. and 36 min. respectively . Third pipe R can empty it in 36 min. If all the three pipes are opened , find the taken to fill the cistern.
(a) 1 hour
(b) 24 mins
(c) 36 mins
(d) 30 mins

Ques 2.

A tank has a leak which would empty it in 8 hours. A tap is turned on which admit 6 liters a minute into the tank and it now emptied in 12 hours . How many literes does the tank holds?

(a) 8260 ltr
(b) 8640 ltr
(c) 8560 ltr
(d) 8800 ltr

Ques 3.

When the waste pipe is closed , two taps can separately fill a cistern in 10 and 12 minutes respectively .when the waste pipe is opened they together fill it in 15 minutes . How long does it take waste pipe to empty the cistern , when the taps are closed?
(a) 8 min. 34 sec.
(b) 7 min.10 sec.
(c) 12 min.
(d) 10 min

Ques 4.

Two pipes can fill a tank in 10 minutes and 30 minutes respectively and a third pipe can empty the full tank in 20 minutes . If all the three pipes are opened simultaneously, the tank will be filled in:
(a) 12 minutes
(b) 10 minutes
(c) 8 minutes
(d) 6 minutes

Ques 5.

Two pipes can fill a cistern in 14 hours and 16 hours respectively . The pipes are opened simultaneously and it is found that due to leakage in the bottom , 32 minutes extra are taken for the cistern to be filled up. When the cistern is full , in what time will the leak empty it ?
(a) 108 hours
(b) 112 hours
(c) 116 hours
(d) 120 hours

Ques 6.

A cistern can be filled by pipes A and B in 12 minutes and 10 minutes respectively . The full tank can be emptied by a third pipe C in 8 minutes only .If all the pipes be turned on at the same time,the cistern will be full in :
(a) 17 min
(b) 171/7 min.
(c) 17 2/7 min.
(d) 18 min.

Ques 7.

If two pipes function simultaneously , the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir?
(a) 20 hours
(b) 25 hours
(c) 30 hours
(d) 40 hours

Ques 8.

A tank is filled in hours by three pipes A, B and C . The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
(a) 40 hours.
(b) 35 hours
(c) 30 hours
(d) 25 hours

Ques 9.

Three pipes P , Q and R can fill a tank in 6 hours , After working it at together for 2 hours , R is closed and P and Q can fill the remaining part in 7 hours . How much time will R take alone to fill the tank?
(a) 16 hours
(b) 14 hours
(c) 12 hours
(d) 10 hours

Ques 10.

Three taps P, Q and R can fill a tank in 12, 15 and 20 hours respectively . If P is opened all the time and Q and R are opened for one hour each alternately , the tank will be full in
(a) 5 hours
(b) 6 hours
(c) 6 2/3 hours
(d) 7 hours

Analytical Puzzle ....

Study the following information to answer these questions.  

Seven professors A, B, C, D, E, F and G are engaged in evaluation of answer papers in three different subjects English, Mathematics and History. 

At least two people evaluate the papers in each subject. Each of the evalutors stay in different buildings P, Q, R, S, T, V and W not necessarily in the same order. 

1. A evaluates English papers only with E and stays in building  R. 

2. D stays in building W and does not evaluate Maths papers. 

3. The one who stays in building V evaluate History papers. 

4. B and C do not evaluate the papers in the same subject. 

5. Those who evaluate English papers do not stay in building Q. 

6. F stays in building P but does not evaluate History Paper. 

7. G evaluates same papers as F. 

8. C stays in building T.

Q) E stays in which building?

A. P

B. Q

C. T

D.Can't be determined

E. None of these

Solution:

E stays in S.

Fun with Syllogism ....

Directions (Q. 1 – 10): 

In each question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with 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. 

Give answer

1. if only conclusion I follows.
2. if only conclusion II follows.
3. if either conclusion I or conclusion II follows.
4. if neither conclusion I nor conclusion II follows.
5. if both conclusion I and conclusion II follow.

QUESTION (1 – 2):Statements: 

• All stars are moons.
• All moons are planets.
• All planets are round.

1. Conclusions: 

• I. All moons being stars is a possibility.
• II. All stars are round.

2. Conclusions: 

• I. At least some planets are stars.
• II. All stars if they are moon will be planet.

QUESTION (3 – 4):Statements: 

• All shirts are pants.
• No pant is trousers.
• Some jackets are pants.

3. Conclusions: 

• I.All shirts being jackets is a possibility.
• II.No trousers are shirt.

4. Conclusions: 

• I.There is a possibility that all shirts are trousers.
• II.All pants being jackets is a possibility.

5. Statements: 

• Some cakes are pastries.
• Some breads are pastries.

Conclusions: 

• I.All pastries being cakes is a possibility.
• II.There is a possibility that some cakes are breads.

QUESTION (6 – 7):Statements: 

• All princes are kings.
• All braves are princes.
• No queen is a king.

6. Conclusions: 

• I.All princes being brave is a possibility.
• II.At least some kings are brave.

7. Conclusions: 

• I.A prince can never be a queen.
• II.All those princes who are kings are queens.

QUESTION (8 – 9):Statements: 

• All squares are circles.
• All circles are triangles.
• Some rectangles are triangles.

8. Conclusions: 

• I.All circles being rectangles is a possibility.
• II.Some triangles are squares.

9. Conclusions: 

• I.All squares being rectangle is a possibility.
• II.At least some rectangles are circles.

10. Statements: 

• Some flowers are white.
• No flower is black.

Conclusions: 

• I.No black is white.
• II.All whites being flowers is a possibility.

Answers:—-

1. 5
2. 5
3. 5
4. 2
5. 5
6. 5
7. 1
8. 5
9. 1
10. 2

Thought for the Day.....

The Sharma family consists of the following in terms of relationships: 1 grandfather, 1 grandmother, 2 fathers, 2 mothers, 4 children, 3 grandchildren, 1 brother, 2 sisters, 2 sons, 2 daughters, 1 father-in-law, 1 mother-in-law, and 1 daughter-in-law. If we bring a count to this, this becomes Twenty-three people. But are there really 23 individuals in the family? We think there are seven. Can you show how?