Kerala PSC Exam Study Materials 31
Clock and Time Problems, Formula
These are the different type of questions asked from this topic.
Type 1: Find the time when the angle between the two hands are given.
Type 2: Find the angle between the 2 hands when the time is given.
Type 3: Find the time, when clocks gaining/losing time.
Type 4: Find the time in the mirror image.
ക്ലോകിലെ ഓരോ അക്കങ്ങൾക്കിടയിലെ കോണളവ്= 30°.
മിനിറ്റ് സൂചി ഓരോ മിനുറ്റിലും 6° ചുറ്റും.
മണിക്കൂർ സൂചി ഒരു മിനുറ്റിൽ ½°ചുറ്റും.
ഒരുദിവസം Hour, Minute സൂചികൾ 22 തവണ ഒന്നിന് മീതെ ഒന്നായി വരും.
ക്ലോകിലെ സൂചികൾ 1 ദിവസം, 22 തവണ എതിർദിശയിൽ വരും. ie. 180°.
ക്ലോകിൽ ഒരു ദിവസം 44 തവണ സൂചികൾ നേർരേഖയിൽ വരും.
മണിക്കൂർ സൂചിയും മിനിറ്റ് സൂചിയും, 65x5/11 മിനിറ്റിനു ശേഷം ഒന്നിന് മീതെ ഒന്നായി വരും.
Angle Between Hands of Clock Formula : H x 30 degree - M x 5.5 degree. .
H - Hour.
M - Minute.
Eg: The angle between the minute hand and the hour hand of a clock when the time is 4:20 is:.
= 4 x 30 - 20 x 5.5.
= 120 - 110.
= 10 degrees. .
Find the time in the mirror image. Formula : if time is more tha... Read full study notes
Type 1: Find the time when the angle between the two hands are given.
Type 2: Find the angle between the 2 hands when the time is given.
Type 3: Find the time, when clocks gaining/losing time.
Type 4: Find the time in the mirror image.
ക്ലോകിലെ ഓരോ അക്കങ്ങൾക്കിടയിലെ കോണളവ്= 30°.
മിനിറ്റ് സൂചി ഓരോ മിനുറ്റിലും 6° ചുറ്റും.
മണിക്കൂർ സൂചി ഒരു മിനുറ്റിൽ ½°ചുറ്റും.
ഒരുദിവസം Hour, Minute സൂചികൾ 22 തവണ ഒന്നിന് മീതെ ഒന്നായി വരും.
ക്ലോകിലെ സൂചികൾ 1 ദിവസം, 22 തവണ എതിർദിശയിൽ വരും. ie. 180°.
ക്ലോകിൽ ഒരു ദിവസം 44 തവണ സൂചികൾ നേർരേഖയിൽ വരും.
മണിക്കൂർ സൂചിയും മിനിറ്റ് സൂചിയും, 65x5/11 മിനിറ്റിനു ശേഷം ഒന്നിന് മീതെ ഒന്നായി വരും.
Angle Between Hands of Clock Formula : H x 30 degree - M x 5.5 degree. .
H - Hour.
M - Minute.
Eg: The angle between the minute hand and the hour hand of a clock when the time is 4:20 is:.
= 4 x 30 - 20 x 5.5.
= 120 - 110.
= 10 degrees. .
Find the time in the mirror image. Formula : if time is more tha... Read full study notes
National Emblems of Various Countries ( വിവിധ രാജ്യങ്ങളിലെ ദേശീയ മുദ്രകൾ )
.
Countries Emblems .
Australia Kangaroo .
Barbados Head of Trident .
Canada White Lily .
Denmark Beach .
France Lily .
Guyana Canje Pheasant .
India Lioned Capital .
Ireland Shamrock .
Italy White Lily .
Japan Chrysanthemum .
Luxembourg Lion with Crown .
Norway Lion .
Papua New guinea Bird of paradise .
Senegal Bhobab Tree .
Sri Lanka Lion .
Syria Eagle .
U.K. Rose .
Bangladesh Water Lily .
Belgium Lion .
Chile Candor and Huemul .
Dominica Sisserou Parrot .
Germany Corn Flower .
Hong Kong Bauhinia .
Iran Rose .
Israel Candelabrum .
Ivory Coast Elephant .
Lebanon Cedar tree .
Mongolia The Soyombo .
New Zealand Sothern Cross / Kiwi .
Pakistan Crescent .
Spain Eagle .
Sierra Leone Lion .
Sudan Secretary Bird .
Turkey Crescent and Star .
USA Golden rod .
... Read full study notes
Countries Emblems .
Australia Kangaroo .
Barbados Head of Trident .
Canada White Lily .
Denmark Beach .
France Lily .
Guyana Canje Pheasant .
India Lioned Capital .
Ireland Shamrock .
Italy White Lily .
Japan Chrysanthemum .
Luxembourg Lion with Crown .
Norway Lion .
Papua New guinea Bird of paradise .
Senegal Bhobab Tree .
Sri Lanka Lion .
Syria Eagle .
U.K. Rose .
Bangladesh Water Lily .
Belgium Lion .
Chile Candor and Huemul .
Dominica Sisserou Parrot .
Germany Corn Flower .
Hong Kong Bauhinia .
Iran Rose .
Israel Candelabrum .
Ivory Coast Elephant .
Lebanon Cedar tree .
Mongolia The Soyombo .
New Zealand Sothern Cross / Kiwi .
Pakistan Crescent .
Spain Eagle .
Sierra Leone Lion .
Sudan Secretary Bird .
Turkey Crescent and Star .
USA Golden rod .
... Read full study notes
Major Awards in India
Military Awards .
Param Vir Chakra: Param Vir Chakra is India\'s highest military decoration awarded for the displaying distinguished acts of valour during wartime. The name of the award translates as the "Wheel of the Ultimate Brave".
Mahavir Chakra: The Maha Vir Chakra is the second highest military decoration in India, and is awarded for acts of conspicuous gallantry in the presence of the enemy.
Vir Chakra: Vir Chakra is the third highest military decoration in India, and presented for acts of bravery in the battlefield.
Ashok Chakra: The Ashoka Chakra is India\'s highest peacetime military decoration awarded for valour, courageous action or self-sacrifice away from the battlefield. The decoration may be awarded either to military or civilian personnel. .
Kirti Chakra: The Kirti Chakra is Second in order of precedence of peacetime gallantry awards, and is an Indian military decoration awarded for valour, courageous action or self-sacrifice away from the field of battle. It may be awarded to civilians as well as military personnel, including posthumous awards. .
Shaurya Chakra: The Shaurya Chakra is third in order of precedence of peacetime gallantry awards, an Indian military decoration awarded for valour, courageous action or self-sacrifice while not engaged in direct action with the enemy. It may be awarded to civilians as well as military personnel, sometimes posthumously. .
Civilian awards .
Bharat Ratna: The Bharat Ratna is the highest civilian award of the Republic of India. The award is conferred "in recognition of exceptional service/performance of the highest order".
Padma Vibhushan: The Padma Vibhushan is the second-highest... Read full study notes
Param Vir Chakra: Param Vir Chakra is India\'s highest military decoration awarded for the displaying distinguished acts of valour during wartime. The name of the award translates as the "Wheel of the Ultimate Brave".
Mahavir Chakra: The Maha Vir Chakra is the second highest military decoration in India, and is awarded for acts of conspicuous gallantry in the presence of the enemy.
Vir Chakra: Vir Chakra is the third highest military decoration in India, and presented for acts of bravery in the battlefield.
Ashok Chakra: The Ashoka Chakra is India\'s highest peacetime military decoration awarded for valour, courageous action or self-sacrifice away from the battlefield. The decoration may be awarded either to military or civilian personnel. .
Kirti Chakra: The Kirti Chakra is Second in order of precedence of peacetime gallantry awards, and is an Indian military decoration awarded for valour, courageous action or self-sacrifice away from the field of battle. It may be awarded to civilians as well as military personnel, including posthumous awards. .
Shaurya Chakra: The Shaurya Chakra is third in order of precedence of peacetime gallantry awards, an Indian military decoration awarded for valour, courageous action or self-sacrifice while not engaged in direct action with the enemy. It may be awarded to civilians as well as military personnel, sometimes posthumously. .
Civilian awards .
Bharat Ratna: The Bharat Ratna is the highest civilian award of the Republic of India. The award is conferred "in recognition of exceptional service/performance of the highest order".
Padma Vibhushan: The Padma Vibhushan is the second-highest... Read full study notes
Important Maths Formulas ( പ്രധാനപ്പെട്ട ഗണിത സൂത്രവാക്യങ്ങൾ )
Important Maths Formulas .
(a ± b) 2 = a 2 ± 2ab + b 2 .
(a + b + c) 2 = a 2 + b 2 + c 2 + 2(ab + bc + ca).
(a + b + c + d) 2 = a 2 + b 2 + c 2 + d 2 + 2(ab + ac + ad + bc + bd + cd) .
a 2 ×a 1 = a 3 .
a 2 ÷a 1 = a 1 .
(a 2 ) 1 = a 2 .
a -2 / a 2 = 1.
(ab) 2 = a 2 xb 2 =ab 4 .
a 0 = 1.
a 1/2 = 2√a.
(√a) 2 = a.
Geometry formulas .
Perimeter ( ചുറ്റളവ് ) .
Perimeter of a square: P=4a.
a: length of one side.
Perimeter of a rectangle: P=2(l+w).
l: length.
w: width.
Perimeter of a triangle: P=a+b+c.
a, b, and c: lengths of the 3 sides.
Area ( വിസ്തീര്‍ണ്ണം ) .
Area of a square: A=a 2 .
a: length of one side.
Area of a rectangle: A=wl.
l: length.
w: width.
Area of a triangle: A=(b × h)/2.
b: length of the base.
h: length of the height.
Area of a trapezoid: A=(b1 + b2) × h/2.
b1 and b2: parallel sides or the bases.
h: length... Read full study notes
(a ± b) 2 = a 2 ± 2ab + b 2 .
(a + b + c) 2 = a 2 + b 2 + c 2 + 2(ab + bc + ca).
(a + b + c + d) 2 = a 2 + b 2 + c 2 + d 2 + 2(ab + ac + ad + bc + bd + cd) .
a 2 ×a 1 = a 3 .
a 2 ÷a 1 = a 1 .
(a 2 ) 1 = a 2 .
a -2 / a 2 = 1.
(ab) 2 = a 2 xb 2 =ab 4 .
a 0 = 1.
a 1/2 = 2√a.
(√a) 2 = a.
Geometry formulas .
Perimeter ( ചുറ്റളവ് ) .
Perimeter of a square: P=4a.
a: length of one side.
Perimeter of a rectangle: P=2(l+w).
l: length.
w: width.
Perimeter of a triangle: P=a+b+c.
a, b, and c: lengths of the 3 sides.
Area ( വിസ്തീര്‍ണ്ണം ) .
Area of a square: A=a 2 .
a: length of one side.
Area of a rectangle: A=wl.
l: length.
w: width.
Area of a triangle: A=(b × h)/2.
b: length of the base.
h: length of the height.
Area of a trapezoid: A=(b1 + b2) × h/2.
b1 and b2: parallel sides or the bases.
h: length... Read full study notes
