Oral puzzles

MathsIsFun · 2006-06-04 00:23:18

Nigel wrote:

Nope. You would not guess where I would be from. Serious.

Does it end in an "a"?

Jai Ganesh · 2006-06-04 02:00:20

366. What is the value of cosθ if

367. If sin θ =5/13 and θ is acute, then what is the value of

368. If tanθ =x/y, what is the value of

369. If 8tanx=15, what is the value of (sinx-cosx)?

370. If tanθ =3/4 and θ is acute, what is the value of (sinθcosθ)?

Patrick · 2006-06-04 08:31:59

MathsIsFun wrote:

Nigel wrote:
Nope. You would not guess where I would be from. Serious.
Does it end in an "a"?

My guess is that he's from Nauru

Nigel · 2006-06-04 15:45:25

MathsIsFun wrote:

Nigel wrote:
Nope. You would not guess where I would be from. Serious.
Does it end in an "a"?

Dude you checked the timezone....
Greetings. I'm from Malaysia.

Jai Ganesh · 2006-06-05 16:09:25

371. A number when divided by 169 leaves 91 as remainder. What would be the remainder if the same number is divided by 13?

372. A number when divided by 779 gives 47 as remainder. On dividing the same number by 19, what would be the remainder?

373. When n is divided by 4, the remainder is 3. What would the remainder be when the number 2n is divided by 4?

374. What is the smallest positive number to be added to 1056 to get a number divisible by 23?

375. In a division, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, what is the dividend?

Nigel · 2006-06-05 17:45:43

371. 0
373. 2
374. 2

Jai Ganesh · 2006-06-05 17:56:38

Jai Ganesh · 2006-06-06 15:57:43

376. In which of the following is the lenghts of diagonals equal?
(a) Rhombus (b) Parallelogram (c) Trapezium (d) Rectangle

377. If the diagonals of a quadrilateral bisect each other at right angles, then it is a
(a) Trapezium (b) Parallelogram (c) Rectangle (d) Rhombus

378. The length of a side of a rhombus is 5 cm and one of its diagonals is of length 8 cm. What is the length of the other diagonal?

379. If one angle of a paralleolgram is 24° less than twice the smallest angle, what is the measure of the larger angles of the parallelogram?

380. If a rectangle and paralleolgram are equal in area, and have the same base and are situated on the same side, then what is the ratio of the perimeter of the rectangle to the perimeter of the paralleolgram?
(a) <1 (b) = 1 (c) >1 (d) cannot be determined

John E. Franklin · 2006-06-06 17:26:02

John E. Franklin · 2006-06-06 17:40:07

Jai Ganesh · 2006-06-06 20:03:02

Jai Ganesh · 2006-06-08 02:27:45

381. If the medians of a triangle are equal, then the triangle is
(a) isosceles (b) equilateral (c) scalene (d) right-angled

382. The incentre of a trinagle is determined by the
(a) altitudes (b) angle bisectors (c) medians (d) None of these

383. If the diagonals of a quadrilateral intersect each other proportionally, then the quadrilateral is a
(a) Parallelogram (b) Rhombus (c) Trapezium (d) Rectngle

384. The areas of two similar triangles are 49 square units and 64 square units respectively. What is the ratio of their corresponding sides?

385. The ratio of the corresponding sides of two similar triangles is 1:3. What is the ratio of their corresponding heights?

Nigel · 2006-06-09 00:38:56

376. d
377. d
378. 6cm

Jai Ganesh · 2006-06-09 02:17:10

Excellent! Keep it up, Nigel!

Patrick · 2006-06-09 02:19:50

380 is (b) isnt it?

Jai Ganesh · 2006-06-09 02:24:44

386. Which is the least number which when divided by 5, 6, 7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?

387. Which is the greatest number of 4 digits which is divisible by 12, 18, 21, and 28?

388. Which is the smallest perfect square number which is divisible by 3, 4, 5, 6, and 8?

389. The product of two numbers is 1600 and their Greatest Common Divisor is 5. What is their Least Common Multiple?

390. The Least Common Multiple of two numbers is 14 times their Greatest Common Divisor. The sum of the Least Common Multiple and the Greatest Common Divisor is 600. If one of the numbers is 280, which is the other?

Jai Ganesh · 2006-06-09 02:29:46

Patrick,
The answer to 380 isn't b! In a paralleolgram and a rectangle having equal area, the perimter of the parallelogram would always be greater, provided the parallelogram is not a rectangle, in which case, it would be equal. Hence, the answer would be (a).

Patrick · 2006-06-09 03:02:31

then? :] You mentioned yourself that the parallelogram could in fact be a rectangle..
so, given that the parallelogram is a rectangle, the answer is (b), but if it isn't (a) is the answer. Hence the answer is (e) ≤1

Last edited by Patrick (2006-06-09 03:03:15)

Jai Ganesh · 2006-06-09 17:03:28

391. Out of a sum of $625, a part was lent at 5% simple interest and the other at 10% simple interest. If the interest on the first part after 2 years is equal to the interest on the second part after 4 years, what is the second sum equal to?

392. A businessman invested 1/3 of his capital at 7%, 1/4 at 8% and the remaining at 10% per annum. What was his capital if his annual income was $561?

393. If a sum of money grows to three times iself in 15 years at simple interest, what is the annual rate of interest?

394. A father invests an amount of $15,860 in the names of his three sons, A, B, and C, in such a way that they get the same interest after 2, 3, and 4 years respectively. If the rate of simple interest is 5%, what is the ratio of the amounts invested in the names of A, B, and C?

395. A person lends $10,000 in four parts. If he gets 8% on $2000,
7 1/2 % on $4000 and 8 1/2 % on $1400, at what rate must he invest the remaining amount in order to get an average interest of 8.13%?

Jai Ganesh · 2006-06-10 17:54:40

396. What is the tenth term of the Arithmetic Series 357, 363, 369, ....?

397. How many terms are there in the Arithmetic progression 201, 208, 215, ...369?

398. What is the sum of all odd numbers between 10 and 100?

399. What is the Geometric Mean of 16 and 81?

400. How many terms are there in the Geometric Progression
16, 8, 4, ....1/16?

Ninja 101 · 2006-06-12 00:32:37

Query:
what is a geometric mean?

Statement:
I think it is college mathematics.

Jai Ganesh · 2006-06-12 16:49:51

401. If f(2, 7) = 57 and f(1, 6) = 37, what is the value of f(3, 10)?

402. The time in a clock is 20 minute past 2. Find the angle between the hands of the clock.

403. Given 27th February 2003 was a Thursday, what day was 27th February 1603?

404. At how many points between 10 O'clock and 11 O'clock are the minute hand and hour hand of a clock at an angle of 30 degrees to each other?

405. What is the angle between the minute hand and the hour hand when the time is 1540 hours?

Jai Ganesh · 2006-06-14 19:09:36

406. Three men A, B and C go walking round a circle 1
kilometre in circumference at the rates of 10, 20 and 40 metres
per minute respectively. If they all start together and walk in
the same direction, when will they again be together at the
same place?

407. Successive discounts of 20% and 15% are equivalent
to a single discount of _________%.

408. If the cost of 12 pencils is equal to selling price of 10
pencils, what is the profit percentage in the transaction?

409. If the ratio of boys to girls in a class is B and the ratio
of girls to boys is G, then 3(B + G) is:
(a) equal to 3 (b) less than 3
(c) more than 3 (d) less than 1

410. There are 30 students in a class. The average age of
the first 10 students is 12.5 years. The average age of the next
20 students is 13.1 years. What is the average age of the whole class?

John E. Franklin · 2006-06-15 16:27:22

Jai Ganesh · 2006-06-15 17:44:22

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