# Mathematics Quiz For RRB NTPC : 30th December

Q1. A home theatre set is marked at Rs. 4950. If two successive discounts of 20% and 15% are given, then its selling price is?
(a) Rs. 3366
(b) Rs. 6633
(c) Rs. 3636
(d) Rs. 6363

Q2. If 15% of x is three times of 10% of y, then x : y =
(a) 1:2
(b) 2:1
(c) 3:2
(d) 2:3

Q3. A gun is fired at a distance of 6.64 km away from Ram. He hears the sound 20 seconds later. Then the speed of sound is?
(a) 664 m/s
(b) 664 km/s
(c) 332 m/s
(d) 332 km/s

Q4. Given that tan(θ + 15°) =. Then the value of θ is?
(a) 15°
(b) 75°
(c) 45°
(d) 65°

Q5. The difference between the greatest and least five digit numbers formed by the digits 2, 5, 0, 6, 8 is (repetition of digits are not allowed)
(a) 69552
(b) 65925
(c) 65952
(d) 63952

Q6. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. The ratio between the capacity of a man and a woman is:
(a) 3 : 4
(b) 4 : 3
(c) 5 : 3
(d) 5 : 7

Q7. The product of two positive integers is 2048 and one of them is twice the other . Then the smaller number is:
(a) 32
(b) 64
(c) 16
(d) 1024

Q8. The diagonal of a cuboid of length 5 cm, width 4 cm and height 3 cm is:

Q9.
(a) 9
(b) 5
(c) 7
(d) 3

Q10. In case of an acute angled triangle, its orthocentre lies
(a) inside the triangle
(b) outside the triangle
(c) on the traingle
(d) on one of the vertex of the triangle

Solutions:

S1. Ans.(a)
Sol.
Selling price = 4950 × 0.8 × 0.85 = Rs. 3366

S5. Ans.(c)
Sol.
ATQ.
Largest No. → 86520
& least No. → 20568
so, req. difference = (86520 – 20568) = 65952

S7. Ans.(a)
Sol.
let first no. = x
another no. = 2x
so, x × 2x = 2048
x = 32
so, smaller no. = 32

S8. Ans.(a)
Sol.

S9. Ans.(c)
Sol.

S10. Ans.(a)
Sol. In acute angle case, its orthocentre lies inside the triangle

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