ABHYAS | Self Learning | Testing Platform

Total questions : 30	Time allotted : 30 Minutes	Start Time: 16 Dec, 2025 09:32 AM	End Time: 16 Dec, 2025 10:02 AM

Q.1 A statement which is expressed as an equivalence of two ratios is known as __________________________________
A. Proportion	B. Variation	C. Ratio	D. Probability
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Q.2 $cosec : 30^o+sec : 30^o=$ _____________________.
A. $2sqrt {2}$	B. $sqrt {6}$	C. $large frac{6-2sqrt3}{3}$	D. $large frac{6+2sqrt3}{3}$
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Q.3 The mean proportional of 9 and 16 is ?
A. 12	B. 13	C. 11	D. 15
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Q.4 $frac{sin;18^0}{cos; 72^0}$ =______________________
A. 0	B. 1	C. $frac{1}{2}$	D. Not Defined
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Q.5 The mean proportional of 6 and 24 is ?
A. 15	B. 12	C. 8	D. 144
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Q.6 Find the value of $tan^{2}60^0-sin^230^0$
A. $frac{9}{4}$	B. $frac{10}{4}$	C. $frac{11}{4}$	D. $frac{5}{4}$
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Q.7 Find the value of $2;tan;theta$ when it is given that $sin; theta = frac{3}{5}$
A. $dpi{110}frac{3}{4}$	B. $dpi{110}frac{3}{2}$	C. $dpi{110}frac{2}{3}$	D. None of these
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Q.8 Monthly salary of Roma is 12500 Rs and Monthly Salary of Krishma is 25000. How many times is Krishma salary to that of Roma?
A. 5	B. 3	C. 2	D. 4
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Q.9 Find the ratio of Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour ?
A. $4:9$	B. $1:2$	C. $2:7$	D. None of these
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Q.10 Meenu and Mona are two sisters having scales 100 and 20 respectively. Compare their scales .
A. 5/6	B. 1/5	C. 5	D. 5/4
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Q.11 Compare the following ratios: 11 : 14 and 2 : 5
A. 11 : 14 < 2 : 5	B. 11 : 14 $leq$ 2 : 5	C. 11 : 14 > 2 : 5	D. 11 : 14 $geqslant$ 2 : 5
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Q.12 Simplify the given expression : $frac{2;Sin;90^0}{1+Cosec^2;90^0}$
A. 1	B. 2	C. 5	D. 3
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Q.13 Solve the following Expression : $5Sin^245^0+Cos^245^0-4Tan^245^0$
A. -1	B. 8	C. 3	D. 1
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Q.14 In the given right triangle , the value of side of hypotenuses is ?
A. x	B. 13 cm	C. 5 cm	D. None of these
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Q.15 Convert the following to simplest form : 3 minutes to 45 minutes
A. 1:13	B. 1:15	C. 1:17	D. 15:3
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Q.16 sin 2A = 2 sin A is true when A =
A. $0^o$	B. $30^o$	C. $45^o$	D. $60^o$
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Q.17 Simplify: $secTheta;.; cotTheta =$
A. $sinTheta$	B. $frac{1}{cosTheta }$	C. $frac{1}{sinTheta }$	D. $frac{sinTheta }{cosTheta }$
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Q.18 If $frac{cos; theta }{1-sin; theta }+frac{cos; theta }{1+sin; theta }=4$ ,then
A. $cos; theta =frac{sqrt{3}}{2}$	B. $sin;theta =frac{sqrt{3}}{2}$	C. $theta =60^0$	D. Both B and C
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Q.19 Find the value of $2;cos;theta$ When it is given that $tan; theta = frac{a}{b}$
A. $dpi{110}frac{2b}{sqrt{a^2-b^2}}$	B. $dpi{110}frac{2b}{sqrt{a^2+b^2}}$	C. $dpi{110}frac{2a}{sqrt{a^2+b^2}}$	D. None of these
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Q.20 If angles A, B, C of a $Delta ABC$ form an increasing AP, then sin B =
A. $frac {1}{2}$	B. $frac {sqrt {3}}{2}$	C. 1	D. $frac {1}{sqrt {2}}$
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Q.21 In figure, $Delta ABC$ is right angled at C. If BC = 3cm, AC = 4cm, find the values of 3 cot A + 2 tan A
A. $frac {2}{3}$	B. $frac{11}{2}$	C. $frac{7}{3}$	D. $frac{5}{3}$
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Q.22 Find the value of $sec;theta+ ;2tan;theta$ when it is given that $cos; theta = frac{3}{5}$
A. $dpi{110}frac{9}{3}$	B. $dpi{110}frac{13}{3}$	C. $dpi{110}frac{4}{3}$	D. None of these
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Q.23 Find the value of $sec;C+ ;2tan;C$ when it is given that $sin; A = frac{3}{5}$
A. $dpi{110}frac{9}{3}$	B. $dpi{110}frac{13}{3}$	C. $dpi{110}frac{4}{3}$	D. None of these
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Q.24 Compare the following ratios: 7 : 6 and 4 : 9
A. 7 : 6 > 4 : 9	B. 7 : 6 < 4 : 9	C. 7 : 6 = 4 : 9	D. 7 : 6 $geqslant$ 4 : 9
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Q.25 Evaluate the following expression: $frac {sin: 30^o}{cos: 45^o}+frac {cos: 45^o}{sec: 60^o}-frac {cos: 30^o}{sin: 90^o}$
A. $frac {1}{4}(2sqrt {6}-2sqrt {3})$	B. $frac {1}{4}(3 sqrt {2}-2sqrt {6})$	C. $frac {1}{4}(3 sqrt {2}-2sqrt {3})$	D. $frac {1}{4}(3 sqrt {2}+2sqrt {3})$
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Q.26 The adjacent side of angle A in right triangle EGA is _____________.
A. AE	B. GE	C. AG	D. None of these
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Q.27 $tan ;1^0. tan ;2^0. tan ;3^0. ......... tan; 89^0$ = _____________________
A. 1	B. $tan;90^0$	C. $tan;45^0$	D. 0
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Q.28 $cos 1^0.cos 2^0.cos 3^0------------cos 179^0$ is equal to
A. -1	B. 0	C. 1	D. 1/ $sqrt{2}$
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Q.29 The adjacent side of angle A in right triangle ADC is ________________.
A. AD	B. DC	C. AC	D. None of these
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Q.30 Identify the opposite side to angle E in given right triangle ABE .
A. AE	B. BE	C. AB	D. None of these
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