If `x(t)` is a solution of `((1+t)dy)/(dx)-t y=1` and `y(0)=-1` then `y(1)` is (a) `( b ) (c)-( d )1/( e )2( f ) (g) (h)` (i) (b) `( j ) (k) e+( l )1/( m )2( n ) (o) (p)` (q) (c) `( d ) (e) e-( f )1/( g )2( h ) (i) (j)` (k) (d) `( l ) (m) (n)1/( o )2( p ) (q) (r)` (s)

In Fig.93, if A O C is a straight line, then x= (a) ( b ) (c) (d) (e) 42^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 52^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 142^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 38^(( q )0( r ))( s ) (t) (u)

An angle is thrice its supplement. The measure of the angle is (a) ( b ) (c) (d) (e) 120^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 105^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 135^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 150^(( q )0( r ))( s ) (t) (u)

The measure of an angle which is its own complement is (a) ( b ) (c) (d) (e) 30^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 60^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 90^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 45^(( q )0( r ))( s ) (t) (u)

In Fig.88 P R is a straight line and /_P Q S :/_S Q R=7: 5. The measure of /_S Q R is (a) ( b ) (c) (d) (e) 60^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) 62 (m) (n) (o)1/( p )2( q ) (r)^(( s )0( t ))( u ) (v) (w) (c) ( d ) (e) 67 (f) (g) (h)1/( i )2( j ) (k)^(( l )0( m ))( n ) (o) (p) (d) ( q ) (r) (s) (t) 75^(( u )0( v ))( w ) (x) (y)

In Fig.97, If A B is parallel to CD, then the value of /_B P E is (a) ( b ) (c) (d) (e) 106^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 76^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 74^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 84^(( q )0( r ))( s ) (t) (u)

The sum of an angle and one third of its supplementary angle is 90^0dot The measure of the angle is (a) ( b ) (c) (d) (e) 135^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 120^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 45^(( q )0( r ))( s ) (t) (u)

The sum of an angle and half of its complementary angle is 75^0dot The measure of the angle is (a) ( b ) (c) (d) (e) 40^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 50^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 80^(( q )0( r ))( s ) (t) (u)

If angles of a linear pair are equal, then the measure of each angle is (a) ( b ) (c) (d) (e) 30^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 45^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 60^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 90^(( q )0( r ))( s ) (t) (u)

In Fig.103, P Q R S\ a n d\ /_P A B=60^0\ a n d\ /_A C S=100^0dot Then, /_B A C= (a) ( b ) (c) (d) (e) 40^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 60^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 80^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 50^(( q )0( r ))( s ) (t) (u)

In Fig.104, A B C D ,\ /_O A B=150^0\ a n d\ /_O C D=120^0dot Then, /_A O C= (a) ( b ) (c) (d) (e) 80^(( f )0( g ))( h ) (i) (j) (b) ( k ) (l) (m) (n) 90^(( o )0( p ))( q ) (r) (s) (c) ( d ) (e) (f) (g) 70^(( h )0( i ))( j ) (k) (l) (d) ( m ) (n) (o) (p) 100^(( q )0( r ))( s ) (t) (u)