Mathematics Quiz For RRB NTPC : 22nd January 2020 for time & work and time & distance

Q1. tan(A/2) is equal to
(a) tanA/(1 + secA)
(b) 1/(cosecA + cotA)
(c) tanA/(1 + cosecA)
(d) 1/(secA + cotA)

Q2. In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?
(a) 7.5 cm
(b) 5 cm
(c) 10 cm
(d) 2.5 cm

Q3. How many balls of radius 2 cm can be made by melting a bigger ball of diameter 16 cm? (Take π = 22/7)
(a) 64
(b) 128
(c) 32
(d) 96

Q4. At what point does the line 3x + y = -6 intercept the x-axis?
(a) (2,0)
(b) (-2,0)
(c) (0,-6)
(d) (0,6)

Q5. A thief is stopped by a policeman from a distance of 150 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/hr and that of policeman as 9 km/hr, how far the thief would have run, before he is over- taken by the policeman?
(a) 420 metres
(b) 630 metres
(c) 315 metres
(d) 525 metres

Q7. If 2(3x + 5) > 4x- 5 < 3x + 2; then x can take which of the following values?
(a) 8
(b) 6
(c) -8
(d) 10

Q8. Two cars travel from city A to city B at a speed of 60 and 108 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B?
(a) 270 km
(b) 324 km
(c) 405 km
(d) 216 km

Q9. If (4x – 5) = (3x – 1), then the numerical value of (x+4)2 is
(a) 16
(b) 64
(c) 32
(d) 8

Q10. A does 50% of a work in 12 days. He then calls in B and they together finish the remaining work in 8 days. How long B alone would take to complete the whole work?
(a) 12 days
(b) 24 days
(c) 36 days
(d) 48 days

Solutions: