Solution
1If(sin x + sin y) = a and (cos x+ cos y)=b, find sin x
sin y + cos x cos y
a.a+b-ab
b.a+b+ab c.a^2 + b^2 -2 d. (a^2 + b^2 -2)/2
2.If x + y = z find the value of cos 2x +
cos 2y + cos 2z
a.1+2sinxsinysinz b.1-2sinxsinysinz c. 1+2cosx cosy cos z d. 1+2 cos x cos y cos z
3.If X2 – 3X +1 = 0 find the
value of X + (1/X)
a.0 b.3 c.2
d.1
4.If a+(1/b) = 1 and b+(1/c)=1, then c + (1/a)=
a.4 b.24 c.3
d.1
5.For what value of k will have following linear
equations have infinitely many solutions.
Kx + 3y – (k-3)=0 & 12x + ky –k=0
a.2 b.4 c.6
d.8
6.What is the value of (5 sin 75 O + 2 cos
15 O / cos 15 O.sin 77 O) + (7 sin 81 O/cos
9 O)
a.-1 b.0 c.1
d.2
7.If tan A + Sin A = p and tan A – Sin A = q then
a.p2 + q2 = 4(pq)1/2 b. p2 - q2 =4(pq)1/2 c. p2 - q2 = (pq)1/2 d. p2 - q2 =2(pq)1/2
8.Find the smallest positive integer which must be
subtracted from both the terms of ratio 6:7 so that the result give the ratio
less than 16:21
a.2 b.4 c.3
d.5
9. Find the max. Sum of AP 19,18(1/5),17(2/5),....
a.∞ b.235(2/5)
c.431(5/7) d.293(1/5)
10. A certain type of board is sold in length of
multiples of 2 feet. The shortest board sold is 6ft and the longest is 24 ft. A
builder needs a large qty of these types of board in 5.5 ft length. Find the length
to be ordered for which waste is min.
a.24 ft
b.26ft c.22ft d.52ft
11.find the sum of the series 1 +
1/(1+x) + x^2/(1 + x^2)+.. to ∞
a. 2+x
b.2-x c.1+x d.1-x
12.A person buys 18 local tickets cost Rs110. Each
first class ticket cost Rs10. And each second class ticket cost Rs3. What will another lot of 18 tickets cost in which no. Of
first class and second class tickets are interchanged.
a.112
b.118 c.121 d.124
13. A man has 1044 candles. After burning he can make
new candle from 9 stubs left behind. Find the max. No of candles he can make.
a.116
b.120 c.130 d.140
14. The age of two friends differ by 3 yrs. A’s father
D is twice is old as A and B is twice as old as his sister C . The ages of C
and D differ by 30yrs. Then the ages of A and B are respectively.
a.19,15 b.18,16
c.19,16 d.18,15
15.Mohan ate half the jam on Monday .
He ate half of what was left on Tuesday and so on. He followed this pattern for
one week. How much of the jam he had eaten during the week.
a.99.22% b.95%
c.98.22% d.100%
16. Mr Sharma travels by car and
covers 25% of his journey with a speed of 10km/h,45% of journey with speed of
5km/h and remaining 30% at 15km/h. Find avg. Speed for the whole journey.
a.8km/h b.7.40km/h
c. 9km/h d.8.55km/h
17. Given that (232 + 1 )
is exactly divisible by a certain no. Which of the following is also divisible
by the same no.
a. 216 + 1 b. . 216
- 1 c. . 213 x 7 d. . 296
+ 1
18. A milkman has certain quantity of
milk to sell. In what ratio should he mix water to gain 5 % by selling mix. at the
cost price.
a.1:10 b.1:5
c.1:20 d. 1:15
19. Capacity of tap B is 80% more
than A . If both the taps are opened simultaneously ,they take 45 hrs to fill
the tank . How long will B take to fill the tank alone.
a.72 hr b.48hrs.
c.66hr d.70hr
20. 2 pipes L and M can fill a tank
in 15 and 12 hrs respectively and a 3rd pipe N empty it in 4 hrs. If
the pipes are opened at 8,10,11 am respectively. Find the time when the tank will be emptied.
a.12:40 b.2:40
c. 1:40 d.3:40 pm
21.If geometric mean between 2 nos. is
9 an arithmetic mean is 15. Find the no.
a.27,3 b.81,1
c.3,81 d.1,27
22. The 7th term and 27th
term of AP are 38 and 83 respectively. Find first term of AP.
a.18
b.22 c.24 d.20
23. One side of an equilateral
triangle is 24cm. The midpoint of its sides are joined to form another triangle
whose midpoints are in turn joined to form still another triangle. This process
continues indefinitely. Find the sum of perimeters of all the triangles.
a.144 cm b. 72cm
c.536cm d.676cm
24. A sphere of radius r has the same
volume as that of a cone with a circular base of radius r. Find the ht. Of the
cone.
a.2r
b.r/3 c.4r d.(2/3)r
25. If x2 – 3x + 1 = 0. Find
the value of x + (1/x)
a.0
b.3 c.2 d.1
Quick Ans by tomorrow.Best of Luck!
ReplyDeleteSolution available now
ReplyDelete