Which organism is more complex and evolved among bacteria,
Question: Which organism is more complex and evolved among bacteria, Mushroom and Mango tree? Give reasons. (CCE 2012) Solution: Mango tree is more complex and evolved among bacteria, Mushroom and Mango because of the 1. Differentiated sporophyte 2. Vascular tissues 3. Embryo stage 4. Seeds present inside fruit. Bacteria are procaryotic. Mushroom is eucaryotic (fungus) but without any differentiation of stem leaves and roots, absence of vascular tissues and embryo stage....
Read More →You are given Leech, Nereis, Scolopendra,
Question: You are given Leech, Nereis, Scolopendra, Prawn and Scorpio/i. All have segmented body organisation. Will you classify them in one group? If not give the important characters based on which you will separate these, organisms into different groups. (CCE 2012) Solution: No, 1. Leech and Nereis have metameric segmentation (external segmentation corresponding to internal segmentation), closed circulatory system and unjointed appendages. They belong to annelida. 2. Scolopendra, Prawn and Sc...
Read More →3cot 31° tan 15° cot 27° tan 75° cot 63° cot 59°
Question: 3cot 31 tan 15 cot 27 tan 75 cot 63 cot 59 Solution: $3 \cot 31^{\circ} \tan 15^{\circ} \cot 27^{\circ} \tan 75^{\circ} \cot 63^{\circ} \cot 59^{\circ}$ $=3 \cot \left(90^{\circ}-59^{\circ}\right) \tan 15^{\circ} \cot \left(90^{\circ}-63^{\circ}\right) \tan 75^{\circ} \cot 63^{\circ} \cot 59^{\circ}$ $=3 \tan 59^{\circ} \tan 15^{\circ} \tan 63^{\circ} \tan 75^{\circ} \cot 63^{\circ} \cot 59^{\circ} \quad\left(\because \cot \left(90^{\circ}-\theta\right)=\tan \theta\right)$ $=3 \tan 59^...
Read More →Construct a 3 × 4 matrix A = [aij] whose elements aij are given by:
Question: Construct a $3 \times 4$ matrix $A=\left[a_{i j}\right]$ whose elements $a_{i j}$ are given by: (i) $a_{i j}=i+j$ (ii) $a_{i j}=i-j$ (iii) $a_{i j}=2 i$ (iv) $a_{i j}=j$ (v) $a_{i j}=\frac{1}{2}|-3 i+j|$ Solution: (i) $a_{i j}=i+j$ Here, $a_{11}=1+1=2, a_{12}=1+2=3, a_{13}=1+3=4, a_{14}=1+4=5$ $a_{21}=2+1=3, a_{22}=2+2=4, a_{23}=2+3=5, a_{24}=2+4=6$ $a_{31}=3+1=4, a_{32}=3+2=5, a_{33}=3+3=6$ and $a_{34}=3+4=7$ So, the required matrix is $\left[\begin{array}{cccc}2 3 4 5 \\ 3 4 5 6 \\ 4...
Read More →Define the terms and give one example of each
Question: Define the terms and give one example of each (a) Bilateral symmetry (b) Coelom (c) Triploblastic. (COE 2011, 2012) Solution: (a) Bilateral Symmetry: It is a type of symmetry in which appendages and organs of the body are paired with one of each pair being present in right and left halves of the body, e.g., Lizard, Human. (b) Coelom: It is mesoderm lined, fluid filled internal body cavity that lies between alimentary canal and skin. It provides a shock proof environment to the containe...
Read More →Observe the following pattern
Question: Observe the following pattern $1=\frac{1}{2}\{1 \times(1+1)\}$ $1+2=\frac{1}{2}\{2 \times(2+1)\}$ $1+2+3=\frac{1}{2}\{3 \times(3+1)\}$ $1+2+3+4=\frac{1}{2}\{4 \times(4+1)\}$ and find the values of each of the following: (i) 1 + 2 + 3 + 4 + 5 + ... + 50 (ii) 31 + 32 + ... + 50 Solution: Observing the three numbers for right hand side of the equalities: The first equality, whose biggest number on the LHS is 1, has 1, 1 and 1 as the three numbers. The second equality, whose biggest number...
Read More →Observe the following pattern
Question: Observe the following pattern $1=\frac{1}{2}\{1 \times(1+1)\}$ $1+2=\frac{1}{2}\{2 \times(2+1)\}$ $1+2+3=\frac{1}{2}\{3 \times(3+1)\}$ $1+2+3+4=\frac{1}{2}\{4 \times(4+1)\}$ and find the values of each of the following: (i) 1 + 2 + 3 + 4 + 5 + ... + 50 (ii) 31 + 32 + ... + 50 Solution: Observing the three numbers for right hand side of the equalities: The first equality, whose biggest number on the LHS is 1, has 1, 1 and 1 as the three numbers. The second equality, whose biggest number...
Read More →Thallophyta, bryophyta and pteridophyta one called "cryptogams."
Question: Thallophyta, bryophyta and pteridophyta one called "cryptogams." Gymnosperms and angiosperns are called "phanerogams". Discuss why ? Draw one example of gymnosperm. (CCE 2011) Solution: (a) Thallophyta, bryophyta and pteridophyta are called cryptogams because they are seedless and possesss inconspicuous or hidden reproductive organs. (b) Gymnosperms and angiosperms are called phanerogams as they have conspicuous reproductive organs with seeds containing an embryo and reserve food. (c)...
Read More →Write name of a few thallophytes.
Question: Write name of a few thallophytes. Draw a labelled diagram of Spirogyra. Solution: Ulothrix, Cladophora, JJlva, Spirogyra, Chara,...
Read More →Fill the boxes with appropriate characteristics/plant group(s)
Question: Fill the boxes with appropriate characteristics/plant group(s) Solution: a - Thallophyta. b - Without specialized vascular tissue (non-vascular) c - Pteridophyta. d - Phanerogemae. e - Bear naked seeds. f-Angiosperms. g-Have seeds with two cotyledons, h-Monocots....
Read More →Observe the following pattern
Question: Observe the following pattern $(1 \times 2)+(2 \times 3)=\frac{2 \times 3 \times 4}{3}$ $(1 \times 2)+(2 \times 3)+(3 \times 4)=\frac{3 \times 4 \times 5}{3}$ $(1 \times 2)+(2 \times 3)+(3 \times 4)+(4 \times 5)=\frac{4 \times 5 \times 6}{3}$ and find the value of (1 2) + (2 3) + (3 4) + (4 5) + (5 6) Solution: The RHS of the three equalities is a fraction whose numerator is the multiplication of three consecutive numbers and whose denominator is 3. If the biggest number (factor) on th...
Read More →Label a, b, c and d in the given figure.
Question: Label $a, b, c$ and $d$ in the given figure. Give the function of $b$. Solution: a -pectoral fin. b - caudal fin. c-posterior dorsal fin, d -anterior dorsal fin. Function of b. Swimming and steering....
Read More →Which of the following triplets are pythagorean?
Question: Which of the following triplets are pythagorean? (i) (8, 15, 17) (ii) (18, 80, 82) (iii) (14, 48, 51) (iv) (10, 24, 26) (v) (16, 63, 65) (vi) (12, 35, 38) Solution: Only (i), (ii), (iv) and (v) are Pythagorean triplets. A triplet (a,b,c) is called Pythagorean if the sum of the squares of the two smallest numbers is equal to the square of the biggest number. (i) The two smallest numbers are 8 and 15. The sum of their squares is: 82+ 152= 289 = 172 Hence, (8, 15, 17) is a Pythagorean tri...
Read More →Give examples for the following :
Question: Give examples for the following : (a) Bilateral, dorsiventral symmetry is found in . . (b) Worm causing disease elephantiasis is . (c) Open circulatory system is found in . where coelomic cavity is filled with blood. (d) .. are known to have pseudocoelom. Solution: (a) Liver Fluke/Lizard (b) Wuchereria (Filarial Worm) (c) Arthropods (d) Nematodes (roundworms)....
Read More →Observe the following pattern
Question: Observe the following pattern 22 12= 2 + 1 32 22= 3 + 2 42 32= 4 + 3 52 42= 5 + 4 and find the value of (i) 1002 992 (ii) 1112 1092 (iii) 992 962 Solution: From the pattern, we can say that the difference between the squares of two consecutive numbers is the sum of the numbers itself.In a formula: $(n+1)^{2}-(n)^{2}=(n+1)+n$ Using this formula, we get: (i) 1002 992 = (99 + 1) + 99 = 199 (ii) 1112 1092= 1112 1102+ 1102 1092 = (111 + 110) + (110 + 109) = 440 (iii) 992 962= 992 982+ 982 9...
Read More →Construct a 2 × 2 matrix whose elements aij are given by:
Question: Construct a $2 \times 2$ matrix whose elements $a_{i j}$ are given by: (i) $\frac{(i+j)^{2}}{2}$ (ii) $a_{i j}=\frac{(i-j)^{2}}{2}$ (iii) $a_{i j}=\frac{(i-2 j)^{2}}{2}$ (iv) $a_{i j}=\frac{(2 i+j)^{2}}{2}$ (v) $a_{i j}=\frac{|2 i-3 i|}{2}$ (vi) $a_{i j}=\frac{|-3 i+j|}{2}$ (vii) $a_{i j}=e^{2 i x} \sin (x j)$ Solution: $(i)$ $\frac{(i+j)^{2}}{2}$ Here, $a_{11}=\frac{(1+1)^{2}}{2}=\frac{(2)^{2}}{2}=\frac{4}{2}=2, a_{12}=\frac{(1+2)^{2}}{2}=\frac{(3)^{2}}{2}=\frac{9}{2}$ $a_{21}=\frac{(...
Read More →Construct a 2 × 2 matrix whose elements aij are given by:
Question: Construct a $2 \times 2$ matrix whose elements $a_{i j}$ are given by: (i) $\frac{(i+j)^{2}}{2}$ (ii) $a_{i j}=\frac{(i-j)^{2}}{2}$ (iii) $a_{i j}=\frac{(i-2 j)^{2}}{2}$ (iv) $a_{i j}=\frac{(2 i+j)^{2}}{2}$ (v) $a_{i j}=\frac{|2 i-3 i|}{2}$ (vi) $a_{i j}=\frac{|-3 i+j|}{2}$ (vii) $a_{i j}=e^{2 i x} \sin (x j)$ Solution: $(i)$ $\frac{(i+j)^{2}}{2}$ Here, $a_{11}=\frac{(1+1)^{2}}{2}=\frac{(2)^{2}}{2}=\frac{4}{2}=2, a_{12}=\frac{(1+2)^{2}}{2}=\frac{(3)^{2}}{2}=\frac{9}{2}$ $a_{21}=\frac{(...
Read More →Give True (T) and Flase (F):
Question: Give True (T) and Flase (F): (a) Gymnosperms differ from angiosperms in having covered seeds. (b) Non-flowering plants are called cryptogamae. (c) Bryophytes have conducting tissue. (d) Funaria is a moss. (e) Compound leaves are found in many ferns. (f) Seeds, contain embryo. Solution: (a) $-F$, (b) $-F$, (c) $-F$, (d) $-T$, (e) $-T$, (f) $-T$....
Read More →Observe the following pattern
Question: Observe the following pattern 1 + 3 = 221 + 3 + 5 = 321 + 3 5 + 7 = 42 and write the value of 1 + 3 + 5 + 7 + 9 + ... uptonterms. Solution: From the pattern, we can say that the sum of the firstnpositive odd numbers is equal to the square of then-th positive number. Putting that into formula:1 + 3 + 5 + 7 + ...n =n2, where the left hand side consists ofnterms....
Read More →Fill in the blanks.
Question: Fill in the blanks. (a) Five Kingdom classification of living organisms is given by .. . (b) Basic smallest unit of classification is . . (c) Prokaryotes are grouped in kingdom . . (d) Paramoecium is a protistan because of its . . (e) Fungi do not contain . . (f ) A fungus .. can be seen without microscope. (g) Common fungus used in preparing the bread is . (h) Algae and fungi form symbiotic association called . . Solution: (a) Whittaker (b) species (c) Monera (d) unicellular eukaryoti...
Read More →What will be the units digit of the squares of the following numbers?
Question: What will be the units digit of the squares of the following numbers? (i) 52 (ii) 977 (iii) 4583 (iv) 78367 (v) 52698 (vi) 99880 (vii) 12796 (viii) 55555 (ix) 53924 Solution: The units digit is affected only by the last digit of the number. Hence, for each question, we only need to examine the square of its last digit. (i) Its last digit is 2. Hence, the units digit is 22, which is equal to 4. (ii) Its last digit is 7. Hence, the units digit is the last digit of 49 (49 = 72), which is ...
Read More →Name two egg laying mammals.
Question: Name two egg laying mammals. Solution: 1. Duck Billed Platypus 2. Echidna...
Read More →Classify Rohu, Scoliodon, Flying Lizard, King Cobra, Frog, Salamander,
Question: Classify Rohu, Scoliodon, Flying Lizard, King Cobra, Frog, Salamander, Ostrich, Pigeon, Bat, Crocodile and Whale into cold blooded and warm blooded animals. Solution: 1. Rohu. Cold blooded 2. Scoliodon. Cold blooded 3. Flying Lizard. Cold blooded 4. King Cobra. Cold Blooded 5. Frog. Cold blooded 6. Salamander. Cold blooded 7. Ostrich. Warm blooded 8. Pigeon. Warm blooded 9. Bat. Warm blooded, 10. Crocodile. Cold blooded 11. Whale. Warm blooded....
Read More →If sin (θ + 36°) = cos θ, where (θ + 36°) is acute, find θ.
Question: If sin ( + 36) = cos , where ( + 36) is acute, find . Solution: Given:sin(+ 36) = cos $\sin \left(\theta+36^{\circ}\right)=\cos \theta$ $\Rightarrow \cos \left(90^{\circ}-\left(\theta+36^{\circ}\right)\right)=\cos \theta \quad\left(\because \sin \theta=\cos \left(90^{\circ}-\theta\right)\right)$ $\Rightarrow \cos \left(90^{\circ}-\theta-36^{\circ}\right)=\cos \theta$ $\Rightarrow 54^{\circ}-\theta=\theta$ $\Rightarrow \theta+\theta=54^{\circ}$ $\Rightarrow 2 \theta=54^{\circ}$ $\Righta...
Read More →The square of which of the following numbers would be an odd number?
Question: The square of which of the following numbers would be an odd number? (i) 731 (ii) 3456 (iii) 5559 (iv) 42008 Solution: The square of an odd number is always odd. (i) 731 is an odd number. Hence, its square will be an odd number. (ii) 3456 is an even number. Hence, its square will not be an odd number. (iii) 5559 is an odd number. Hence, its square will not be an odd number. (iv) 42008 is an even number. Hence, its square will not be an odd number. Hence, only the squares of 731 and 555...
Read More →