P, Q and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q works on first day, P and R works on second day and P and Q works on third day and son on till the work is completed. In how many days the work will be completed?
(A)
(B)
(C)
(D)
If the four-digit number 463y is divisible by 7, then what is the value of y?
(A) 4
(B) 6
(C) 3
(D) 5
PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q, then the sum of ∠S + ∠R will be:
(A) 169°
(B) 171°
(C) 187°
(D) 189°
if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :
(A) x = 1, y = 3
(B) x = 3, y = 3
(C) x = 3, y = 2
(D) x = 1, y = 2
It is given that ∆ABC ≅ ∆PQR, AB = 5 cm, ∠B = 40°, and ∠A = 80°. Which of the following options is true?
(A) PQ = 5 cm and ∠R = 60°
(B) QR = 5 cm and ∠R = 60°
(C) QR = 5 cm and ∠Q = 60°
(D) PQ = 5 cm and ∠P = 60°
How many kilogram of rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg so that there may be a gain of 12% by selling the mixture at Rs.56 per kg?
(A) 22 kg
(B) 20 kg
(C) 19.2 kg
(D) 21.2 kg
What is the mode of the given data?
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
(A) 7
(B) 6
(C) 5
(D) 3
Working for 10 hours per day, 6 men can build a wall in a certain number of days. By working for how many hours/minutes per day can 12 men build the wall in the same days?
(A) 7 hours 30 minutes
(B) 5 hours
(C) 20 hours
(D) 10 hours
If a cot θ + b cosec θ= p and b cot θ + a cosec θ = q then p2 -q2 is equal to _____
(A)
b2 – a2
(B)
a2 – b2
(C)
b – a
(D)
a2+b2
A goods train 350 m long passes through a tunnel of length 1250 m in 80 seconds. What is the speed of the train?
(A) 64 km/h
(B) 56 km/h
(C) 78 km/h
(D) 72 km/h
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