Math Questions Answer for Competitive Exams
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) $${13\over 2}$$
(B) $${9\over 2}$$
(C) $${7\over 2}$$
(D) $${5\over 2}$$
Correct Answer : C
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
Correct Answer : A
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°
Correct Answer : D
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
Correct Answer : C
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°
Correct Answer : A
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
Correct Answer : C
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
Correct Answer : A
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
Correct Answer : B
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
Correct Answer : A
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
Correct Answer : D