Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#394. Simplify:

(1) 7.2 (2) 8.5 (3) 10 (4) 12

#395. If the diagonals of two squares are in the ratio 2:5, then what will the ratio of their areas be?

(1) √2:√5 (2) 2:5 (3) 4:25 (4) 4:5

#396. The radius of a circular wheel is 1.75 meters. How many revolutions would it make in covering 11 kilometers?

(1) 1000 (2) 10,000 (3) 100 (4) 10

#397. What percentage of 8.25 is 759?

(1) 92,000 (2) 92 (3) 920 (4) 9200

#398. The average of three numbers is 49. The difference between the largest and the smallest number is 31 and the addition of these two numbers is 99. What is the middle number?

(1) 84 (2) 48 (3) 46 (4) 44

#399. When 636 is subtracted from a number, the number is reducted to its two-fifth. Which of the following is twice that number?

(1) 1060 (2) 2020 (3) 2120 (4) 2100

#400. A boy drives 150 kilometers from A to B in 3 hours and 20 minutes and returns to A in 4 hours and 10 minutes. By how much does the average speed from A to B exceed the average speed for the whole trip?

(1) 3 (2) 4 (3) 5 (4) 7

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#401. The difference between 63% of a number and 45% of the same number is 342. What is 78% of that number?

(1) 1342 (2) 1482 (3) 1558 (4) 1670

#402. A car covers 1450 kilometers in 25 hours. What is the speed of the car in kilometers per hour?

(1) 58 (2) 66 (3) 72 (4) 84

#403. The product of two consecutive odd numbers is 6399. What is the smaller number?

(1) 83 (2) 79 (3) 81 (4) 77

#404. In an examination, it is required to get 441 aggregate marks to pass. A student gets 392 marks and is declared failed by 5%. What is the maximum aggregate marks a student can get?

(1) 890 (2) 980 (3) 1140 (4) 1280

#405. Find the average of the following set of scores:

125, 133, 298, 345, 446, 507

(1) 312 (2) 309 (3) 315 (4) 306

#406.If an amount of $85,602 were to be distributed among 33 persons equally, how much amount would each person get?

(1) $2594 (2) $2954 (3) $2549 (4) $2495

#407. What would be the simple interest obtained on an amount of $8930 at 8% per annum after 5 years?

(1) $5413 (2) $2678 (3) $3572 (4) $4752

#408. What is the value of x if

(1) 23 (2) 529 (3) 729 (4) 27

#409. If x ÷ 36 x 12 = 276, what is the value of x?

(1) 828 (2) 838 (3) 818 (4) 848

#410. What is the value of n if

1587 + 2277 = n x 69?

(1) 49 (2) 64 (3) 73 (4) 56

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#411. On a sum of $5,000, simple interest of $1,125 was received for a period of 3 years and 3 months. What is the rate of Simple Interest per annum?

(1) 2½% (2) 4% (3) 6% (4) 7½%

#412. A man swims downstream at 12 kilometers per hour and upstream at 4 kilometers per hour. What is his speed in still water in kilometers per hour?

(1) 8 (2) 3 (3) 4 (4) 2

#413. The average of 20 numbers is 12. The average of the first twelve numbers is 11 and that of the next seven is 10. What is the last number?

(1) 38 (2) 48 (3) 37 (4) 49

#414. A man spends a part of his monthly income and saves the remaining part. The ratio of his expenditure to his savings is 26:3. What is his monthly savings if his monthly income is $7,250?

(1) $350 (2) $450 (3) $550 (4) $750

#415. What is the single discount equivalent of successive discounts of 20% and 15%?

(1) 32% (2) 35% (3) 37% (4) 39%

#416. Find the value of

if.

(1) 40 (2) 10 (3) (4) 2.

#417. The simple interest on a sum at 4% per annum for 2 years is $80. Find the compound interest on the same sum for the same period.

(1) $87.50 (2) $85.75 (3) $84.23 (4) $8..60

#418. If

, find the value of.

(1) 194 (2) 125 (3) 174 (4) 109

#419. Find the product

(1) (2)

(3) (4)

#420. Find the equation whose roots are the squares of the roots of x²+x+2 = 0.

(1) ² + 3x + 4 = 0 (2) x² + 2x + 6 = 0

(3) x² + 6x + 8 = 0 (4) x² + 4x - 5 = 0.

#421. The total surface area of a cube is 726 cm². Find its volume in cubic centimeters

(1) 1331 (2) 1044 (3) 1288 (4) 1353

#422. If A + B = 180°, find the value of sin²A - sin²B.

(1) 0 (2) 1 (3) 2 (4) 4

#423. What is the smallest number which when increased by 3 is divisible by 27, 35, 25, and 21?

(1) 4722 (2) 4132 (3) 4522 (4) 4622

#424.The sum of two numbers is 128 and their quotient is 3. Find the difference between the numbers.

(1) 48 (2) 32 (3) 96 (4) 64

#425. Simplify:

(1) (2)

(3) 2 (4) 1

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#426. How many seconds would it take a 500 meter long train to pass a man, walking at the speed of 3 kilometers per hour in the direction of the moving train if the speed of the train is 63 kilometers per hour?

(1) 25 (2) 30 (3) 35 (4) 40

#427. Two trains are travelling in the same direction with the speeds of 30 km/hour and 58 km/hour respectively. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train.

(1) 70 meters (2) 140 meters (3) 100 meters (4) 120 meters

#428. In a 1760 meter race, A beats B by 44 meters. In a 1320 meters race, B beats C by 30 meters. By what distance would A beat C in an 880 meters race?

(1) 40 meters (2) 41 meters (3) 43 meters (4) 42 meters

#429. Two trains starting in opposite directions start from a station at the same time with speeds of 40 km/hour and 120 km/hour respectively. Find the distance between them after 15 minutes.

(1) 60 km (2) 20 km (3) 40 km (4) 25 km

#430. A hare preceeded by a greyhound is 87.5 meters ahead. While the hare takes 4 leaps, the greyhound takes 3 leaps. If the greyhound and the hare go 2 3/4 meters and 1 3/4 meters respectively in one leap, in how many leaps would the greyhound overtake the hare?

(1) 120 (2) 210 (3) 170 (4) 200

#431. A hare runs at 5 meters per second and a tortoise moves at 0.5 meter per second. They start from the same point in the same direction. How far ahead of the tortoise would the hare be after 30 minutes?

(1) 8.1 km (2) 5.8 km (3) 6.6 km (4) 7.2 km

#432. A train travelling at the rate of 60 km/hour, when inside a tunnel, meets another train of half of its length travelling at 90 km/hour which passes the first train completely in 4½ seconds. Find the length of the tunnel if the first train passes completely through it in 4 minutes 37½ seconds.

(1) 4 km (2) 4.5 km (3) 5 km (4) 5.5 km

#433. A and B start at the same time with speeds of 40 km/hour and 50 km/hour respectively. If in covering the journey, A takes 15 minutes longer than B, find the total distance of the journey.

(1) 90 km (2) 70 km (3) 60 km (4) 50 km

#434. A, B, and C start from the same place and travel at speeds of 30, 40, and 60 km/hour respectively. B starts two hours after A. If B and C overtake A at the same time, how many hours after A did C start?

(1) 3 (2) 3.5 (3) 4 (4) 4.5

#435. A car covers the first 39 kilometers of its journey in 45 minutes and the remaining 25 kilometers in 35 minutes. What is the average speed of the car?

(1) 40 km/hour (2) 64 km/hour (3) 49 km/hour (4) 48 km/hour

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#436. Which of the following is a pair of co-primes?

(1) (16, 62) (2) (18, 25) (3) (21, 35) (4) (23, 92)

#437. What is the Greatest Common Divisor of 204, 1190, and 1445?

(1) 17 (2) 18 (3) 19 (4) 21

#438. The Greatest Common Divisor of two numbers is 11 and their Least Common Multiple is 7700. If one of the numbers is 275, find the other.

(1) 279 (2) 283 (3) 308 (4) 318

#439. Find the greatest number that would divide 43, 91, and 183 leaving the same remainder in each case is:

(1) 4 (2) 7 (3) 9 (4) 13

#440. A, B, and C start at the same time in the same direction running around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time would they meet again at the starting point?

(1) 26 minutes 18 seconds

(2) 42 minutes 36 seconds

(3) 45 minutes

(4) 46 minutes 12 seconds

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#441. A person walks half of the journey at 4 km/hour, one-third at 12 km/hour and rides the remaining distance at 9 km/hour. The whole journey is completed in 6 hours and 10 minutes. What is the length of the journey?

(1) 40 kilometers

(2) 153 kilometers

(3) 36 kilometers

(4) 28 kilometers

#442. Two trains, 130 meters and 110 meters long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are running in opposite directions, they pass each other completely in 3 seconds. What are the speeds of the trains?

(1) 42 m/s and 38 m/s

(2) 38 m/s and 24 m/s

(3) 42 m/s and 24 m/s

(4) None of these.

#443. A train consists of 12 bogies, each bogie being 15 meters long. The train crosses a telegraph post in 18 seconds. If two of the train's bogies are detached, in how many seconds would the train cross a telegraph post?

(1) 15 seconds

(2) 12 seconds

(3) 18 seconds

(4) 20 seconds

#444. X and Y entered into a partnership investing $700 and $600 respectively. Aftert 3 months, X withdrew 2/7 of his investment but after 3 months, he reinvested 3/5 of what he had withdrawn. The profit at the end of the year is $726. If the profit is shared according to investment, how much of the profit is X's share?

(1) $633

(2) $366

(3) $336

(4) $663

#445. Brendon alone takes 8 hours more to complete a work than the time taken by Brendon and William to complete the work together. If William worked alone, he would take 4½ hours more to complete the job than the time taken by Brendon and William working together. What would be the time taken by Brendon and William working together to complete the work?

(1) 5 hours

(2) 4 hours

(3) 3 hours

(4) 6 hours.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#446. If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction becomes 5/8. If the numerator of the same fraction is increased by 3 and the denominator is increased by 1, the fraction becomes 3/4. What is the original fraction?

(1) 2/7

(2) 4/7

(3) 3/7

(4) None of these

#447. The length and breadth of a rectangle are in the ratio 3:2 respectively. If the sides of the rectangle are increased by 1 meter on each side, the ratio of the length to the breadth becomes 10:7. Find the area of the original rectangle in square meters.

(1) 256

(2) 150

(3) 280

(4) None of these

#448. Simon invested an amount of $16,000 for two years at compound interest compounded annually and received an amount of $17,640 on maturity. What is the rate of interest per annum?

(1) 8% (2) 5% (3) 4% (4) None of these

#449. 25 men and 15 women can complete a work in 12 days. All of them start working together and after working for 8 days, the women stopped working. The 25 men completed the work in 6 more days. How many days would it take for 15 women alone to do the job?

(1) 36 days (2) 18 days (3) 24 days (4) None of these

#450. The weights of two friends Ram and Shyam are in the ratio 4:5. Ram's weight increases by 10% after some years and the total weight of Ram and Shyam together becomes 82.8 kilograms with an increase of 15%. By what percentage did the weight of Shyam increase?

(1) 12.5% (2) 17.5% (3) 19% (4) 21%

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#451. If the number of exponents of 45 in 205!, in 206!, and in 210! are termed as A, B, and C, then which of the following is true?

(1) A = B = C (2) A = B > C (3) C < A < B (4) None of these

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#452. The sum of three consecutive numbers is 87. nwhich is the greatest among them?

(1) 26 (20 28 (3) 29 (4) 30

#453. Three times the first of three consecutive integers is 3 more than twice the third. What is the third integer?

(1) 9 (2) 11 (3) 13 (4) 15

#454. The sum of four consecutive even integers is 1284. Which is the greatest among them?

(1) 320 (2) 322 (3) 324 (4) 326

#455. The sum of three consecutive odd numbers is 20 more than first of the three numbers. What is the middle number?

(1) 7 (2) 9 (3) 11 (4) None of these

#456. The sum of three consecutive multiples of 3 is 72. What is the largest number?

(1) 21 (2) 24 (3) 27 (4) 36

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#457.

= ?(1) 53 (2) 46 (3) 63 (4) 66 (5) None of these

#458.

(1) 472 (2) 7.375 (3) 29.5 (4) 9.485 (5) None of these

#459.

(1) 64 (2) 512 (3) 16 (4) 4096 (5) None of these

#460.

(1) 20.3 (2) 17.4 (3) 19.6 (4) 16.8 (5) None of these

#461.

(1)

(2)

(3)

(4)

(5) None of these.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#462. Theaverage of the ages of a father and his daughter is 34 years. If the respective ratio of their ages four years later would be 14:5, what is the daughter's present age?

(1) 12 (2) 18 (3) 10 (4) Cannot be detrmined. (5) None of these

#463. Find the sum of the first 24 terms of a series of numbers whose n[sup]th[/sup]

number is given by t[sub]n[/sub] = 3 + 2n.

(1) 652 (2) 662 (3) 672 (4) 682

#464. What is the sum of the first 15 multiples of 8?

(1) 940 (2) 950 (3) 955 (4) 960

#465. Find the sum to 20 terms of the series

1 + (1 + 3) + (1 + 3 + 5) + (1 + 3 + 5 + 7) + .......................

(1) 2880 (2) 2870 (3) 2800 (4) 3000

#466. Find the sum of the series -3 + 3 + 9 + 15 + ................ 20 terms.

(1) 1020 (2) 1040 (3) 1050 (4) 1080

Character is who you are when no one is looking.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

*Last edited by JaneFairfax (2009-03-04 07:53:39)*

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

Answer to #466:

You are perfectly right, JaneFairfax!

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#467. Mark travels at the rate of 3 km/hour and reaches his workplace 15 minutes late. If he travlled at the rate of 4 km/hour, he would have reached 15 minutes earlier. What is the distance Mark travelled?

(1) 7 km (2) 6 km (3) 1 km (4) 12 km

#468. By selling an article for $240, a trader loses 4%. What price must he sell the article to gain 10%?

(1) $273.50 (2) $264 (3) $275 (4) $280

#469. A work can be completed in 18 days by 10 men and 6 boys. The men work 9 hours a day and the boys work 7½ hours per day and 3 boys do as much work in an hour as 2 men. Find how many days it would take to complete the work if 10 men and 9 boys are employed?

(1) 12 days (2) 16 days (3) 18 days (4) 20 days

#470. 6 horses are worth 9 camels. 27 camels are worth 30 bicycles and 300 bicycles are worth 9 motor cars. If 3 motor cars are worth $72,000, what is the worth of a horse?

(1) $1,200 (2) $1,600 (3) $1,800 (4) $2,000

#471. 24 men working at 8 hours a day can finish a work in 10 days. How many men would be required to finish the same work working 10 hours a day for 6 days?

(1) 30 (2) 32 (3) 34 (4) 36

#472. Two trains whose lengths are 180 meters and 220 meters are running in the same direction with speeds of 40 km/hour and 50 km/hour. What would be the time taken for the second train to cross the first train completely?

(1) 100 seconds (2) 90 seconds (3) 108 seconds (4) None of these.

#473. Two-third of a consignment was sold at a profit of 5% and the remaining at a loss of 2%. If the total profit was $400, what was the value of the consignment?

(1) $20,000 (2) $15,000 (3) $12,000 (4) $10,000

#474. On simplification, what is the value of the following

(1) 76/33 (2) 67/33 (3) 33/76 (4) 33/67

#475. Rahim and Sohail live in the same house and work in the same place. Rahim takes 20 minutes and Sohail takes 30 minutes to reach workplace. Sohail starts 5 minutes earlier than Rahim from the house. How many minutes would Rahim take to meet Sohail?

(1) 5 minutes (2) 10 minutes (3) 12 minutes (4) 15 minutes

Character is who you are when no one is looking.

Offline

**lady einstein****Member**- Registered: 2009-02-17
- Posts: 7

#401

.63y - .45y = 342

.18y = 342

y = 342/.18= 1900

.78y = .78*1900 = 1482!!

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

lady einstein,

Your answer is correct.

Character is who you are when no one is looking.

Offline

**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 15,758

#476. What is the value of the expression

(1) 7/8 (2) 31/32 (3) 63/32 (4) 32/31

#477. What is the value of the expression

(1) 0.01 (2) 0.001 (3) 0.0001 (4) 0.1

#478. What is the value of the expression

(1) 8 (2) 15 (3) 13 (4) 12

#479.Which of the following is the smallest number by which 45,000 must be multiplied to make it a perfect square?

(1) 1.8 (2) 2.0 (3) 2.5 (4) 1.5

#480. What is the next number in the given sequence?

7, 10, 15, 24, ____

(1) 39 (2) 45 (3) 41 (4) 60

Character is who you are when no one is looking.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 92,237

Hi ganesh;

Please check as they were done in my head in about a minute each. Could be wrong!!!

*Last edited by bobbym (2009-08-02 17:23:10)*

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

**Online**

**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,821

hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

The knowledge of some things as a function of age is a delta function.

Offline