1. Maths 2. Maths 3. Maths 4. Maths

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1 1. Maths If 7csec α 3ct α =7, then the value f 7 ct α 3 csec α is equal t:- (a) 3 (b) 7/3 (c) 3/7 (d) 5 If chice a is selected set scre t Maths Measure f dispersin is nt related t:- (a) mde (b) mean deviatin (c) range (d) standard deviatin If chice a is selected set scre t Maths Tw pipe can fill a tank in 10 hrs and 12 hrs respectively, while the third can empty it in 20 hrs. If all the pipes are pened tgether then tank will be filled in:- (a) 10 hrs (b) 15/2 hrs (c) 8 hrs (d) Nne f the abve If chice b is selected set scre t Maths (a) (b) (c) Page 1

2 (d) If chice c is selected set scre t Maths (a) Perpendicular t z-axis (b) Parallel t z-axis (c) Parallel t x-axis (d) Parallel t y-axis If chice a is selected set scre t Maths The capacities f tw hemispherical bwls are 6.4 litres and 21.6 litres respectively. What is the rati f their internal curve surface areas? (a) 2:3 (b) 4:9 (c) 16:81 (d) 2: 3 If chice b is selected set scre t Maths In a shwer, 5 cm f rain falls. The vlume f water that falls n 2 hectares f grund is:- (a) m 3 (b) 100 m 3 (c) 10 m 3 (d) 1000 m 3 If chice d is selected set scre t Maths If (27) 2/3 x (81) -1/2 = 3 n, then n is equal t:- (a) 27 (b) 0 (c) 1 (d) 81 If chice b is selected set scre t 3. Page 2

3 9. Maths The height f a triangle is decreased by 40% and its base is increased by 40%, what will be the effect n its area? (a) 16% Decrease (b) 16% Increase (c) N change (d) 8% Decrease If chice b is selected set scre t Maths If x is the simple interest n y and y is the simple interest n z, the rate percent and the time being the same in bth cases, what is the relatin between x, y and z? (a) xyz=1 (b) y 2 =xz (c) x 2 =yz (d) z 2 =xy If chice b is selected set scre t Maths If tan x= n fr sme nn-negative natural number n, then sec 2x is:- (a) 1 (b) (1+n)/(1-n) (c) (1-n)/(1+n) (d) n If chice b is selected set scre t Maths A sum f mney invested at cmpund interest amunts in 3 years t 2,520. The interest rate per annum is:- 2,400 and in 4 years t (a) 6% (b) 5% (c) 10% (d) 12% If chice b is selected set scre t 3. Page 3

4 13. Maths Six identical cins are arranged in a rw. The ttal number f ways in which the number f heads is equal t the number f tails is:- (a) 40 (b) 120 (c) 20 (d) 9 If chice c is selected set scre t Maths (a) 4 (b) 3 (c) 5 (d) 2 If chice b is selected set scre t Maths If a, b are tw rts f a quadratic equatin such that a + b = 24 and a - b = 8, then the quadratic equatin having a and b as its rt is:- (a) x 2-4x+8=0 (b) 2x 2 +8x+9=0 (c) x 2-24x+128=0 (d) x 2 +2x+8=0 If chice c is selected set scre t Maths A man sld a Chair and Table tgether fr 760, thereby making a prfit f 25% n Chair and 10% n Table. By selling them tgether fr , he wuld have made a prfit f 10% n Chair and 25% n Table. The cst price f ne Chair and ne Table respectively is:- (a) 567 and 557 (b) 550 and 650 (c) 500 and 600 (d) Nne f the abve If chice a is selected set scre t 3. Page 4

5 17. Maths (a) 7 (b) 6 (c) 5 (d) 3 If chice a is selected set scre t Maths Let β be the angle made by a plane that intersects with vertex axis f a cne. If β =90, then the sectin frmed will be:- (a) a circle (b) a hyperbla (c) a parabla (d) an ellipse If chice a is selected set scre t Maths (a) (b) (c) (d) If chice b is selected set scre t Maths The length f tangent t a circle with radius 5 cm drawn frm a pint 13 cm frm the centre f the circle is:- (a) 12 cm (b) 14 cm (c) 10 cm Page 5

6 (d) 8 cm If chice a is selected set scre t Maths The least number f fur digits, which is exactly divisible by 14, 21 and 28 is:- (a) 1190 (b) 1011 (c) 1092 (d) 1008 If chice d is selected set scre t Maths (a) 1/2 (b) 0 (c) 1 (d) Nne f the abve If chice b is selected set scre t Maths (a) 2 (b) 1 (c) 0 (d) 3 If chice d is selected set scre t Maths A (-1, 2), B (4,1) and C (7,6) are three vertices f parallelgram ABCD. The crdinate f furth vertex is:- (a) (7, 2) (b) (-2, 7) (c) (7, -2) (d) (2, 7) If chice d is selected set scre t 3. Page 6

7 25. Maths The radii f a sphere and a cylinder are equal and their vlumes are als equal. The height f cylinder is equal t:- (a) (4/3). radius (b) Diameter (c) (2/3). radius (d) Radius If chice a is selected set scre t Maths Walking at 3/4 f his usual speed, a man reaches his ffice 20 minutes late. Find his usual time. (a) 1 hr (b) 2 hrs (c) 4 hrs (d) 3 hrs If chice a is selected set scre t Maths The mean deviatin abut the mean fr data 5, 11, 13, 12, 15, 21, 10, 8 and 13 is:- (a) 3.11 (b) 2.99 (c) 3.99 (d) 2.11 If chice a is selected set scre t Maths (a) 2 (b) ±2 (c) -2 (d) Nne f the abve If chice a is selected set scre t 3. Page 7

8 29. Maths (a) (b) (c) (d) If chice a is selected set scre t Maths (a) (b) (c) (d) If chice c is selected set scre t Maths If the interir angles f a plygn are in A.P. with cmmn difference 5 and the smallest angle is 120, then the number f sides f the plygn are:- (a) 9 (b) 15 (c) 13 (d) 28 If chice a is selected set scre t Maths If the zeres f the plynmial, x 3-12x 2 +44x+c are in A.P., then the value f c is:- (a) 44 (b) -44 (c) -48 (d) 48 Page 8

9 If chice c is selected set scre t Maths The rati in which the line 3x+y-9=0 divides the line segment jining the pints A(1,3) and B(2,7) is:- (a) 3:4 (b) 1:2 (c) 1:3 (d) 2:3 If chice a is selected set scre t Maths If the side f a square is increasing at the rate f 0.7 cm/sec, then the rate f increase f the perimeter f the square (in cm/sec) is:- (a) 3.49 cm/sec (b) 0.49 cm/sec (c) 2.8 cm/sec (d) 1.4 cm/sec If chice c is selected set scre t Maths If the multiplicative inverse f a cmplex number is ( 3+4i)/19, then the cmplex number itself is:- (a) 4 - i 3 (b) 3 + 4i (c) 3-4i (d) 4 + i 3 If chice c is selected set scre t Maths The rati f the measure f an interir angle f a regular ctagn t the measure f each f its exterir angles is:- (a) 2:3 (b) 1:3 (c) 1:2 (d) 3:1 If chice d is selected set scre t 3. Page 9

10 37. Maths If 'A' takes 4 hurs t cver a distance and he is 2 times faster than 'B', then what time will 'B' take t cver the same distance? (a) 9 hurs (b) 6 hurs (c) 8 hurs (d) Nne f the abve If chice c is selected set scre t Maths If the third term f the binmial expansin f (1+x) m is -(1/8)x 2, the ratinal value f m is:- (a) 1/2 (b) 3 (c) 1 (d) 2 If chice a is selected set scre t Maths 11 n -5 n, in n ε N and n 3, is divisible by:- (a) 5 (b) 11 (c) 7 (d) 6 If chice d is selected set scre t Maths Kamla gt married 6 years ag. Tday her age is 5/4 times f her age at the time f marriage. Her sn's age is 1/10 time f her age. Her sn's age is:- (a) 5 years (b) 4 years (c) 3 years (d) 2 years If chice c is selected set scre t 3. Page 10

11 41. Maths (a) Intersecting (b) Skew (c) Parallel (d) Cincident If chice c is selected set scre t Maths Then z is equal t:- (a) 7/48 (b) 7/64 (c) 7/32 (d) 7/16 If chice a is selected set scre t Maths Cnsider the fllwing statements:- (1) The bisectr f all the fur angles f a parallelgram enclses a rectangle. (2) The figure frmed by jining the midpints f adjacent side f a rectangle is a rhmbus. (3) The figure frmed by jining the midpints f adjacent side f a rhmbus is a square. Which f the abve statements are crrect? (a) 3 and 1 (b) 1 and 2 (c) 2 and 3 (d) 1, 2 and 3 If chice d is selected set scre t Maths An aerplane when 3000 m high passes vertically abve anther at an instant when the angles f elevatin at the same bserving pint are 60 and 45 respectively. Hw many metres (apprx) lwer is ne than the ther? (a) 800 m Page 11

12 (b) 1000 m (c) 1268 m (d) 900 m If chice c is selected set scre t Maths If f is an invertible functin, defined as f(x)= (3x-4)/5, then f -1 (x) is equal t:- (a) (5x+4)/3 (b) 5x-3 (c) (5x-4)/3 (d) Nne f the abve If chice a is selected set scre t Maths The sum f the digits f a tw digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number. (a) 71 (b) 35 (c) 53 (d) 17 If chice a is selected set scre t Maths The I.F. f the differential equatin is:- (a) (b) (c) (d) If chice c is selected set scre t Maths A by f height 90 cm is walking away frm the base f a building at a speed f 1.2 m/s. If the length f the building is 3.6 m, the length f his shadw after 4 sec is:- (a) 1.8 m (b) 1.6 m Page 12

13 (c) 1.7 m (d) 2 m If chice b is selected set scre t Maths The derivative f cs -1 {(x -1 -x)/(x -1 +x)} at x=-1 is:- (a) 1 (b) -1 (c) 0 (d) -2 If chice b is selected set scre t Maths i.( j x k) +j.(k x i ) +k.( i x j ) is equal t:- (a) -3 (b) 3 (c) 0 (d) 1 If chice b is selected set scre t Maths If 'a' and 'b' are unequal and x 2 +ax+b and x 2 +bx+a have a cmmn factr, then a+b is equal t:- (a) 1 (b) 0 (c) -1 (d) -2 If chice c is selected set scre t Maths If the perimeter f a sectr f circle f radius 6.5 cm is 29 cm, then the area f sectr is:- (a) 58 cm 2 (b) 56 cm 2 (c) 52 cm 2 (d) 25 cm 2 If chice c is selected set scre t 3. Page 13

14 53. Maths If P(A)= 7/17, P(B) =8/17 and P(A B)= 5/17, then the value f P(A/B) is:- (a) 7/8 (b) 5/7 (c) 5/8 (d) 1 If chice c is selected set scre t Maths A pair f dice is thrwn. If the tw numbers appearing n them are different, then the prbability f getting the sum f numbers as 4 r less is:- (a) 1/5 (b) 1/6 (c) 2/15 (d) Nne f the abve If chice c is selected set scre t Maths The least number, which when divided by 40, 50 and 60 leaves remainder as 7 is:- (a) 607 (b) 349 (c) 230 (d) 511 If chice a is selected set scre t Maths A number is first decreased by 10% and then increased by 10%. The number s btained is 50 less than the riginal number. The riginal number is:- (a) 5900 (b) 5000 (c) 5050 (d) 5500 If chice b is selected set scre t 3. Page 14

15 57. Maths A, B, C starts a business. A invests 3 time as much as B invests and B invests 2/3 f what C invests. Then the rati f capitals f A, B and C is:- (a) 3:9:2 (b) 6:10:15 (c) 5:3:2 (d) 6:2:3 If chice d is selected set scre t Maths The prduct f tw numbers is and HCF is 36. Hw many pairs f such numbers can be frmed? (a) 2 (b) 4 (c) 5 (d) 3 If chice a is selected set scre t Maths (a) (b) (c) (d) If chice b is selected set scre t Maths If in a triangle ABC then:- (a) C=90 (b) B=90 Page 15

16 (c) A=90 (d) Nne f the abve If chice c is selected set scre t 3. Page 16