Central Exam — Railway RRB / NTPC — Mathematics
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Showing 1–5 of 5 questions in Mathematics
Q.1 Hard Mathematics
A person travels 60 km by train at 40 km/h and 30 km by bus at 30 km/h. What is the average speed for the entire journey?
A 32 km/h
B 35 km/h
C 36 km/h
D 38 km/h
Correct Answer:  C. 36 km/h
Explanation:

Time by train = 1.5 h; Time by bus = 1 h; Total distance = 90 km; Total time = 2.5 h; Average = 90/2.5 = 36 km/h

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Q.2 Hard Mathematics
If x² - 5x + 6 = 0, what are the values of x?
A 2 and 3
B 2 and 4
C -2 and -3
D 1 and 6
Correct Answer:  A. 2 and 3
Explanation:

x² - 5x + 6 = (x-2)(x-3) = 0; x = 2 or x = 3

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Q.3 Hard Mathematics
A discount of 10% is given on an item, and then another 15% discount is applied. What is the overall discount percentage?
A 24%
B 25%
C 23.5%
D 26.5%
Correct Answer:  C. 23.5%
Explanation:

After 10% discount: 90%; After 15% on 90%: 90% × 85% = 76.5%; Overall discount = 23.5%

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Q.4 Hard Mathematics
Two pipes can fill a tank in 12 hours and 15 hours respectively. If both are opened together, in how many hours will the tank be filled?
A 6.67 hours
B 7 hours
C 7.5 hours
D 8 hours
Correct Answer:  A. 6.67 hours
Explanation:

Work rate = 1/12 + 1/15 = 5/60 + 4/60 = 9/60 = 3/20; Time = 20/3 ≈ 6.67 hours

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Q.5 Hard Mathematics
A sum of money becomes Rs. 1800 in 2 years and Rs. 2100 in 4 years at simple interest. What is the principal?
A Rs. 1200
B Rs. 1350
C Rs. 1500
D Rs. 1600
Correct Answer:  C. Rs. 1500
Explanation:

Interest in 2 years = A₂ - A₄/2 = 1800 - 1050 = 750; Interest per year = 375; Principal = 1800 - 750 = 1500

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