Q1. A triangular base right prism whose sides are 13 cm, 20 cm and 21 cm and the altitude of the prism is 9 cm. Find its volume:
(a) 1564 cm^3
(b) 1134 cm^3
(c) 1644 cm^3
(d) 1234 cm^3
Q4. If a fruit-seller wants to give 10% discount on their fruits, he has to sell it for Rs. 450. If he sells it at Rs. 550, then his gain percent is
(a) 5%
(b) 8%
(c) 10%
(d) 12%
Q5. A quadrilateral MNOP is circumscribed about a circle. If the lengths of MN, NO, OP are 8 cm, 9.7 cm and 12.4 cm respectively, then the length (in cm) of MP is
(a) 10.7
(b) 17.2
(c) 10.5
(d) 17.2
Q6. Rahul sold two coolers at the same price. In one he gets a profit of 25% and in the other he gets a loss of 25%. Then Rahul gets
(a) 1% profit
(b) 6.25% loss
(c) 20% loss
(d) no loss or profit
Q8. A, B and C can do a work separately in 16, 32 and 48 days respectively. They started the work together but B leaving off 4 days and C leave off 8 days before the completion of the work. Then approx. at how many days, is the work finished?
(a) 9 days
(b) 10 days
(c) 11 days
(d) 15 days
Q10. If P : Q = 9 : 5 and Q : R = 3 : 2, then P + Q : Q + R : R + P is
(a) 37 : 25 : 42
(b) 42 : 37 : 25
(c) 25 : 30 : 24
(d) 42 : 25 : 37
Solutions
S2. Ans.(c)
Sol.tanθ = cotθ
θ=45°
(tan60/tan30) ⇒√3/(1/√3)
= 3
S4. Ans.(c)
Sol. x×(90/100)=450
x = 500
550 – 500 = 50
P% =(50/500)×100
= 10%
S5. Ans.(a)
Sol.
8 + 12.4 = 9.7 + x
20.4 = x + 9.7
x = 10.7
S6. Ans.(b)
Sol. L%=-(x/10)^2
-(25/10)^2
– 6.25%
S10. Ans.(d)
Sol. P: Q = 9 : 5
Q : R = 3 : 2
P : Q : R = 27 : 15 : 10
(P + Q) : (Q + R) : (R + P) = 42 : 25 : 37
