Question

uestion 1.

 

IF SIN(X+Y)=COS(X-Y)=0 , THEN THE VALUES OF X AND Y ARE

     45,45

     60,30

     30,60

     90,0

Question 2.

 

NUMBER OF TERMS TO GET Sn =0 IN THE A.P 96,93,90....... 

     45

     55

     65

     75

Question 3.

 

IF SINA+COSA = sqrt2 COS (90-A) THEN COTA=

     sqrt2+1

     0

     1

     sqrt2-1

Question 4.

 

IF COSA :SINA=2:4 THEN THE VALUE OF 8COSA-2SINA/4C0SA+2SINA IS

     0

     1

     sqrt2+1

     sqrt2-1

Question 5.

 

IF 0.2316 IS EXPRESSED IN THE FORM P/2^m X 5^n, THEN THE VALUES OF n.m.P IS

     4,2,579

     2,4,579

     5,2,2316

     2,4 ,2316

Question 6.

 

HCF(2530,4400)=110 ; LCM(2530,4400)= 253XK, THE VALUE OF K=

     40

     400

     440

     110

Question 7.

 

FOR WHAT VALUES OF a & b , THE FOLLOWING SYSTEM OF LINEAR EQUATIONS WILL HAVE INFINITE SOLUTIONS 2x -(a-4 )y=2b+1; 4x-(a-1)y= 5b-1

     (7,3)

     (3,7)

     (4,5)

     (-2,0)

Question 8.

 

IF TWO VERTICES OF AN EQUILATERAL TRIANGLE ARE A(0,0), B(3,0) . THENTHE THIRD VERTEX WILL BE 

     (0,3)

     (-3,0)

     (3/2,3sqrt3/3)

     (3/2,sqrt3/2)

Question 9.

 

RELATION BETWEEN x & y SUCH THAT P(x,y) IS EQUIDISTANT FROM A(2,5) & B(-3,7) 

     10x+4y=-29

     -10x+4y=29

     10x-4y=29

     10x+4y=29

Question 10.

 

FIND A QUADRATIC PLYNOMIAL WITHSUM AND PRODUCT OF IT'S ZEROS AT 1/4 &-1 RESPECTIVELY IS

     4x^2-x-4=0

     x^2-x-4=0

     x^2+x+4=0

     4x^2+x+4=0

Question 11.

 

TWO CONCENTRIC CIRCLES OF RADII a &b ( a>b) ARE GIVEN. THE LENGTH OF THE CHORD OF THE LARGER CIRCLE WHICH TOUCHES SMALLER CIRCLE IS

     sqrt(a^2-b^2)

     2sqrt(a^2-b^2)

     2sqrt(a^2+b^2)

     2sqrt(b^2-a^2)

Question 12.

 

THE VERTICES OF A QUADRILATERAL ABCD TAKEN IN ORDER ARE A(2,4) ,B(-1,5)      C(-3,4) D(-2,2) . THEN ,

     AD=CD

     AD IS PERPENDICULAR ON CD

     AB=BC

     AB IS PERPENDICULAR ON BC

Question 13.

 

(1-tan^2A)/ (cot^2A-1) IS

     cot^2A

     1

     tan^2A

     NONE OF THE ABOVE

Question 14.

 

THE VALUES OF j&d FOR j+d =6 ; 25j+50d=200 WILL BE 

     (4,2)

     (2,4)

     (5,1)

     (1,5)

Question 15.

 

FIND THE SUM OF THE SERIES sqrt2, sqrt8, sqrt18 ............UPTO 15 TERMS IS 

     15sqrt2

     120sqrt2

     15sqrt2/2

     30sqrt2

Question 16.

 

 RATIO IN WHICH THE LINE SEGMENT JOINING POINTS A(0,30 , B(4,-1) IS DIVIDED BY THE X-AXIS IS 

     1:3

     1:1

     2:1

     3:1

Question 17.

 

HCF IS ALWAYS

     MULTIPLE OF LCM

     FACTOR OF LCM

     DIVISIBLE BY LCM

     OPTION A & C BOTH

Question 18.

 

THE DECIMAL EXPANSION OF 63/72x175 IS 

     TERMINATING

     NON TERMINATING

     NON TERMINATING RECURRING

     NONE OF THE ABOVE

Question 19.

 

IF x+1/x =3  THEN x^2 +1/x^2 =

     82/9

     10/3

     7

     11

Question 20.

 

IF ZEROS OF QUADRATIC POLYNOMIAL ax^2 +bx +c ARE RECIPROCALS OF EACH OTHER . THEN, 

     a=c

     a=b

     b=c

     a+c=0

Question 21.

 

5 YEARS HENCE , FATHER'S AGE WILL BE 3 TIMES THE AGE OF HIS DAUGHTER .5 YEARS AGO FATHER WAS 7 TIMES AS OLD AS HIS DAUGHTER . PRESENT AGES OF FATHER AND DAUGHTER IS 

     (20,10)

     (40,20)

     (40,10)

     (30,10)

Question 22.

 

IF 2/x +3/y=13; 5/x-4/y =-2 THEN , x+y =

     1/6

     -1/6

     -5/6

     5/6

Question 23.

 

THE VALUE OF tan 30 .sin 30.cot 60.cosec 30 =

     1/3

     1

     1/sqrt3

     sqrt3

Question 24.

 

IF A+B=90 , A=2B , THEN COS^2A + SIN^2B =

     1

     0

     2

     1/2

Question 25.

 

THE MEAN OF 11 OBSERVATIONS IS 50 . IF THE MEAN OF FIRST 6 OBSERVATIONS IS 49 & THAT OF LAST 6 OBSERVATIONS IS 52 , THEN THE 6th OBSERVATION IS 

     56

     55

     54

     53

Question 26.

 

THE MEDIAN O 15,17,19,14,12 IS 

     17

     14

     15

     14.5

Question 27.

 

IF THE SUM OF THE ROOTS OF AN A.P IS 6 AND ONE ROOT IS 3+sqrt5, THEN THE EQUATION IS

     x^2-6x+4=0

     x^2-4x+6=0

     x^2-6x+5=0

     x^2+6x-5=0

Question 28.

 

A TRAIN TRAVELS 360km AT A UNIFORM SPEED. IF THE SPEED HAS BEEN 5km/hr MORE, IT WOULD HAVE TAKEN 1hr LESS FOR THE JOURNEY. THE SPEED OF THE TRAIN IS

     30km/hr

     35km/hr

     12km/hr

     40km/hr

Question 29.

 

IF x^2 +y^2 =17 & xy=4, THEN THE VALUE OF x/y + y/x IS 

     4/17

     17/4

     5/4

     4/5

Question 30.

 

THE SUM OF 6th  & 7th TERMS OF AN A.P IS 39 & THE COMMON DIFFERENCE IS 3 , THEN THE FIRST TERM IS

     2

     -3

     4

     3

Question 31.

 

HOW MANY NATURAL  NUMBERS UP TO 300 ARE DIVISIBLE BY 17 ?

     13

     15

     17

     19

​

Answer 1

Answer:

30,60

55

1,

12,4,579

400

(4,5)

15sprt 2

1:1

divisible by L C M

Non treatment

7

a=b

(40,

Answer 2

Answer:

The product of a and b is added to the difference of a and b.

a > b

$\begin{gathered} \\ {\bf{To\: Find\::}} \\ \end{gathered}$

The Result

$\begin{gathered} \\ {\bf{Solution\::}} \\ \end{gathered}$

☛ The product of a & b is given as,

$\begin{gathered}:\implies\:\bf{a\times{b}} \\ \end{gathered} </p><p>:⟹a×b</p><p> </p><p> </p><p></p><p>\begin{gathered}:\implies\:\bf{a\:b} \\ \end{gathered} </p><p>:⟹ab$

☛ The difference of a & b is given as,

$:⟹(a−b) Or (b−a)$

According to the question,

➠ a > b

That means,

➣ a is greater than b, so here difference of a & b is the substract of b from a, which is given as,

$\begin{gathered}:\implies\:\bf{(a\:-\:b)\:} \\ \end{gathered} </p><p>:⟹(a−b)$

Therefore,

➣ The result of adding 'the product of a & b' to 'the difference of a & b' is

➠ ab + (a - b)

∴ (b) ab + (a - b)