Ms. Suba invests Rs. 46,875 at 4% per annum compound interest for 3 years.
Calculate (i) the interest for the first year (ii) the amount standing to her credit at the end of the second year and (iii) the interest for the third year.
Sunday, 9 February 2020
COMMERCIAL MATHEMATICS - PART - 09
Mr. Peter saves Rs. 5000 every year and invests it at the end of the year at 10% p.a compound interest. Calculate the total amount of his saving at the end of the third year.
COMMERCIAL MATHEMATICS - PART - 08
Mr. Kumar borrows Rs. 16000 at 10% compound interest payable every six months. He repays Rs. 5000 at the end of every six months. Calculate the third payment he has to make at the end of 18 months in order to clear the entire loan.
COMMERCIAL MATHEMATICS - PART - 07
Mr.
John borrows Rs. 40,000 at 12% C.I. If he repays Rs. 16,800 at the end of first
year and Rs. 19,360 at the end of second year, find the amount of loan
outstanding at the beginning of the third year.
COMMERCIAL MATHEMATICS - PART - 06
Mr. Raja invested Rs. 6000 every year at the beginning of the year, at 10 percent per annum compound interest. Calculate the amount of his total savings: (i) upto at the end of second year and (ii) at the beginning of the third year.
COMMERCIAL MATHEMATICS - PART - 05
Calculate compound interest due in two and half years on rupees 6000, at 10 percent compounded annually.
Saturday, 25 January 2020
COMMERCIAL MATHEMATICS - PART - 03
COMMERCIAL MATHEMATICS - PART - 03
CALCULATION OF COMPOUND WITH DIFFERENT INTEREST CALCULATIONS
TRIGONOMETRY - PART - 50 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
From the adjoining fig. find the value of sin x and cos y.
TRIGONOMETRY - PART - 49 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
In
the adjoining fig. AM is perpendicular to BC. If tan B = 3/4 and tan C = 5/12
and BC = 56 cm. Calculate the length of AM.
TRIGONOMETRY - PART - 48 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
Triangle
ABC is right-angled at B, D is the mid-point of BC, AC = 5 units, BC = 4 units
and triangle BAD is Ꝋ . Find the value of (i) tan Ꝋ (ii)
sin Ꝋ and (iii) sin^2 Ꝋ + cos^2 Ꝋ.
TRIGONOMETRY - PART - 47 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
In
the adjoining fig., triangle ABC is right-angled at B and tan A = 4 / 3. If AC
is 15 cm, find the lengths of AB and BC.
TRIGONOMETRY - PART - 46 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
If
3 cos A = 4 sin A; find the value of:
4
cos^2 A – 3 sin ^2 A + 2.
TRIGONOMETRY - PART - 45 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
If
cos A = 9/41; find the value of:
1
/ sin^2 A – cot ^2 A.
TRIGONOMETRY - PART - 44 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 35
In
triangle ABC, angle B = 90 degrees, AB = 40, AC + BC = 80. Find (i) sin A (ii)
cos A (iii) tan C.
TRIGONOMETRY - PART - 43 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS.
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 34
If
cos A = 2 (m n)1/2 / m + n, find the value of sin A (given m>n).
TRIGONOMETRY - PART - 42 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 33
In
triangle ABC angle C = 90 degrees, AB = 20 and BC = 12, D is a point in side AC
such that CD = 9. Taking angle BDC = x find
(i)
sin angle ABC and (ii)
tan x – cos x + 3 sin x.
Wednesday, 15 January 2020
DAILY TEN WORDS - HIGH-FREQUENCY WORDS IN ENGLISH - Z - LIST - COMPILED BY - ZENMURALI
31. zonk (v) fall asleep fast, as when one is extremely tired [adj – zonked]
34. zoophagous (adj) (of animals) carnivorous
37. zygote (n) the cell produced by the union of two gametes [adj – zygotic, adv – zygotically]
# ஜோங் (வி.சொல்)
வேலை முடிந்தவுடன் விரைவில் அயர்ந்து தூங்குதல்
# Hard labourers zonk after completion of their
work.
32. zoom (v) change the view
of an image so as to magnify or shrink it, e.g. when showing a picture on a
computer or changing the focal length of a camera lens [n – zoom, adj - zoomable]
# ஜூம் (வி.சொல்)
உருவகத்தை பெரிதாக காட்டு
# The police zoomed on the CCTV footage to investigate more
on the theft.
33. zoomorphism (n) the representation of animal
forms in decorative art or symbolism [adj
– zoomorphic]
தெய்வத்தை விலங்குருவத்தில் காட்டுதல்
# Zoomorphism was practiced by the Indians in
olden times.
34. zoophagous (adj) (of animals) carnivorous
மாமிச பட்சினிகள்
# Lions and
Tigers are zoophagous animals.
35. zoophobia (n) fear or dread of
animals
விலங்குகள் கண்டு இயற்கை மீறிய பேரச்சம்
# Children
generally have zoophobia, but eventually take them as pet animals.
36. zoophyte (n) any of various
invertebrate animals resembling a plant such as a sea anemone, coral or
sponge
செடி வடிவமுடைய விலங்கு வகை
# Worms are examples of a zoophyte.
# Worms are examples of a zoophyte.
37. zygote (n) the cell produced by the union of two gametes [adj – zygotic, adv – zygotically]
இரு பாலணு இணைவுப் பொருள்
# The zygote is the
first stage in the development of the fetus.
38. zymology (n) the science
dealing with fermentation [adj – zymologic]
புளித்தெழும்புதல், நொதித்தல்
# Zymology
contributes a lot to the brewing of liquor.
39. zymotic (adj) of or relating
to or causing fermentation; relating to or caused by
infection [n – zymosis,
adv - zymotically]
நொதித்தல் மற்றும்
தொற்று நோய் தொடர்பான
# Diphtheria
is not a zymotic disease.
40. zymurgy (n) the branch of
chemistry concerned with fermentation (as in making wine or brewing or
distilling); the practice of fermentation
வேதியலின் ஒரு பகுதி நொதித்தலாகும், புளித்தெழும்பும்
நிகழ்வாகும்
# Women prepare curd but do not know that it is due to zymurgy.
DAILY TEN WORDS - HIGH-FREQUENCY WORDS IN ENGLISH - Z - LIST - COMPILED BY - ZENMURALI
21. zing (n) a brief high-pitched buzzing or
humming sound, a quality that makes something interesting or exciting;
enthusiasm or energy [adj – zingy, v - zing]
26. zippy (adj) quick and energetic, marked by lively action [n – zippiness]
30. zone (n) area, section, region [adj – zonal]
ஊக்கம், ஆர்வம், சக்தி
# Boxing requires both zing and physical strength.
22. zinger (n)
a striking, amusing or caustic remark
ஒரு உறைக்கத்தக்க, வேடிக்கையாக அல்லது கேலியான கருத்து
# Zinger political debates
are common in all TV channel.
Ant. compliment, flattery, praise
23. zion (n) an imaginary place considered
to be perfect or ideal, the hill of Jerusalem on which the city of David was
built, nonconformist chapel [n –
zionist]
பண்டைய ஜெருசேலம் நகரம், வானுலகு
# The Jewish people believe Zion is their holiest place.
24. zip (v) (computing) compress a file or batch of files
into on compressed package [n – zip]
கோப்புகளை சுருக்கு
# The guide advised the research scholar to zip the
thesis and mail to him.
25. zip code
(n) in the US, a series of numbers that forms part
of an address, and which is used to help organize post so that it can be delivered more quickly
அஞ்சல் குறியீடு
# It is always good to send letters with proper zip code.
26. zippy (adj) quick and energetic, marked by lively action [n – zippiness]
வேகத்துடனும் சத்தியுடனும் செயல்படுதல், உயிரோடத்துடன் செயல்படுவதை குறித்தல்
# Tennis and basketball are zippy games.
Ant. inactive, slow, unenergetic
27. zodiacal (adj) relating to an
area of the sky through which the sun, moon, and most of the planets appear to
move, divided into twelve equal parts, each with a name and symbol, and each
connected with an exact time of year [n
– zodiac]
ஜோதிடவியலில் பன்னிரண்டு இராசிகளைக் குறிக்கும் சொல்
# People now look into their zodiac sign message before the start of each
day.
28. zoilean (adj) hypocritical [n – zoiliest]
பாசாங்குத்தனத்துடன், உள்ளொன்று வைத்து புறம் ஒன்று பேசுவது
# Hitler was famous for his zoilean speech and manners.
Ant. honesty, forthright
29. zombie (n)
someone who acts or
responds in a mechanical or apathetic way; a dead body that has been
brought back to life by a supernatural force [adj – zombielike, adv –
zombify]
ஆர்வமில்லாமல் இந்திரத்தனமாக செய்யும் நபர் (சோம்பேறி), அதீத சக்தியால் மரித்த உடலை மீண்டும் உயிர்ப்பிக்கவைப்பது
# A zombie person is a curse to the society besides curse to himself.
30. zone (n) area, section, region [adj – zonal]
பிரேதேசம், மண்டலம்
# Danger zone boards in the sea shore are to alert the
tourists.
Tuesday, 14 January 2020
TRIGONOMETRY - PART - 41 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 32
If
2 cot A = 3, find the value of:
5
sin A – 2 cos A / 6 cos A + sin A
TRIGONOMETRY - PART - 40 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 31
If
6 tan A – 5 = 0, find the value of:
5
sin A – cos A / 5 cos A + 9 sin A
TRIGONOMETRY - PART - 39 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 30
If
5 cos A = 6 sin A, evaluate:
(i)
tan A
(ii)
12 sin A – 3 cos A / 12 sin A + 3 cos A
TRIGONOMETRY - PART - 38 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 29
If
cosec A + sin A = 26 /5, find the value of
cosec^2
+ sin^2 A
TRIGONOMETRY - PART - 37 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 28
If
5 cos A = 3, evaluate
cosec
A – cot A / cosec A + cot A
TRIGONOMETRY - PART - 36 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 27
If
sec A = 1.414 find:
3 cot^2 A + 2 sin^2 A
/ tan^2 A – cos^2 ATRIGONOMETRY - PART - 35 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 26
From
the given fig. below evaluate:
10
/ sin x + 6 /sin y – 6 cot y
TRIGONOMETRY - PART - 34 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 25
If
sin A = 1.732 /2 and cos B = 1.732 /2, find the value of: tan A – tan B / 1 +
tan A tan B
TRIGONOMETRY - PART - 33 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 24
If
2 sin x = 1.732, evaluate
(i)
sin^3 x – 3 sin x
(ii)
3 cos x – 4 cos^3 x
TRIGONOMETRY - PART - 32 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 23
In
rectangle ABCD, diagonal BD = 26 cm and cotangent of angle ABD = 1.5. Find the
area and perimeter of the rectangle ABCD.
TRIGONOMETRY - PART - 31 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 22
If
sin A = cos , find the value of
2
tan^2 A – 2 sec^2 A + 5
TRIGONOMETRY - PART - 30 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 21
Given
: q tan A = p, find the value of:
p
sin A – q cos A /p sin A + q cos A
TRIGONOMETRY - PART - 29 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 20
In
a triangle ABC, AD is perpendicular to BC, sin B = 0.8, BD = 9 cm and tan C =
1. Find the length of AB, AD, AC and DC.
TRIGONOMETRY - PART - 28 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 19
In
triangle ABC, AB = AC = 15 cm and BC = 18 cm.
Find:
(i) cos B (ii) sin C (iii) tan^2 B – sec^2 B + 2
TRIGONOMETRY - PART - 27 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 18
In
rhombus ABCD, diagonals AC and BD intersect each other at point 0.
If
cosine of angle CAB is 0.6 and OB = 8 cm, find the lengths of the side and
diagonals of the rhombus.
TRIGONOMETRY - PART - 26 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 17
In
triangle ABC, Angle B = 90 degrees and
tan
A = 0.75.
If
AC = 30 cm, find the lengths of AB and BC.
TRIGONOMETRY - PART - 25 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 16
If
3 cos A = 4 sin A, find the value of:
(i)
cos A (ii) 3 – cot ^2 A + cosec ^2 A.
TRIGONOMETRY - PART - 24 - TRIGONOMETRICAL RATIOS - 100 PROBLEMS
ICSE
MATHS CLASS 9 – PAGE -294
EXERCISE
– 22(B) – PROBLEM – 15
In
the given fig. angle C is 90 degrees and D is the mid-point of AC Find (i) tan
angle CAB / tan angle CDB and (ii) (i) tan angle ABC / tan angle DBC
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