Dear Aspirants, Here we have given the Important RRB ALP & Technicians Exam 2018 Practice Test Papers. Candidates those who are preparing for RRB ALP 2018 can practice these Arithmetic Questions to get more confidence to Crack RRB 2018 Examination.
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- (3.5×3.5 -1.9×1.9)/(3.5×3.5+1.9×1.9)
(A) 432/1586
(B) 432/793
(C) 864/793
(D) 0.5
- A train leaves station A for station B at 4 pm at a speed of 54 kmph. Another train leaves station A for station B at 6 pm at a speed of 72 kmph. At what time will the second train overtake the first train?
(1) 12.00 pm
(2) 12.00 am
(3) 11.30 pm
(4) 12.30 am
- 234.567 + 324.056 – 289.354 = 167.203 +?
(A) 102.606
(B) 167.203
(C) 269.269
(D) 102.066
- [12 + 22 + 33 + 42 + …………+ 142 + 152] is equal to
(A) 7440
(B) 1240
(C) 2480
(D) 3720
- How many triangles can be formed by joining 21 points in a plane if there are 6 collinear points?
(A) 1310
(B) 1804
(C) 1540
(D) 1236
- The difference between the compound interest for the first year and the second year on a certain sum at a certain rate of interest is Rs. 360. If the rate of interest becomes 3 times, what will be the difference between the compound interest for the second year and the first year?
(A) Rs. 2,940
(B) Rs. 3,240
(C) Rs. 3,480
(D) Rs. 3,624
- A person was asked to state his age in years. His reply was, “Take my age 5 years hence, multiply it by 5 and then subtract five times of my age five years ago and you will know how old I am today.” What was the age of the person 6 years ago?
(A) 50 years
(B) 46 years
(C) 44 years
(D) 52 years
- The angles of a triangle are given as 4x, 6(x – 5) and (x2+15)/4. The triangle is
(A) isosceles
(B) equilateral
(C) scalene
(D) right angled
- Volume and radius of two right circular cones A and B are in ratio of 1: 2 and 1: 3, respectively. What will be the ratio of their respective heights?
(A) 6: 1
(B) 1: 6
(C) 7: 2
(D) 9: 2
- If a/7=b/8=c/9, then (a+b+c)/b =?
(A) 2
(B) 8
(C) 6
(D) 3
Solutions
- Answer: B
(3.5×3.5 -1.9×1.9)/(3.5×3.5+1.9×1.9)= (3.52-1.92)/(3.52+1.92)= (12.25-3.61)/(12.25+3.61)= 864/1586= 864/1586 = 432/793
- Answer: B
Distance travelled by first train before second started is 54 × 2 = 108 km. Time taken by second to overtake first train will be 108/(72-54)=108/18 = 6 hours
Second train will catch the first train at 6 pm + 6 hours = 12 am.
- Answer: D
- Answer: B
The sum of squares of n natural numbers is n(n+1)(2n+1)/6 . So, for n = 15, sum will be, 15(15+1)(2*15+1)/6=1240
- Answer: A
Number of the triangles which can be formed by joining 21 points in a plane = 21C3
But out of these 21 points, 6 points are collinear.
Number of possible triangles = 21C3-6C3 =21*20*19/(3*2*1) – 6*5*4/(3*2*1)
= 1330 – 20 = 1310
- Answer: B
Let k be the interest for the first year and the rate of interest is r% per annum.
Now k(1+r/100) -k= 360
kr/100=360
If rate of interest becomes 3 times then Interest for the 1st year = 3k
The difference between the compound interest for the second year and the first year = 3k(1+3r/100) -3k
=9kr/100
Putting the value of kr/100 we get 9 kr/100 = 9 × 360 = Rs. 3,240
- Answer: C
Let the present age of person be x year. According to the question,
5(x + 5) – 5(x – 5) = x
5x + 25 – 5x + 25 = x
x = 50 Therefore, the age of the person 6 years ago = x – 6 = 44 years
- Answer: B
The sum of all the angles of a triangle is 180.
4x+6(x – 5) + (x2+15)/4 = 180
x2 + 40x – 825 = 0
x = 15 So, the angles are 60o, 60o and 60o, and therefore the triangle is equilateral.
- Answer: D
Let the radii and heights of the cone A are ra and ha, and that of cone B are rb and hb, respectively.
Ratio of volumes of cone A and B is 1/3πra2ha/1/3πrb2hb = ra2/rb2 (ha/hb) = 1/2
= 1/9(ha/hb) =1/2
ha/hb =9/2
- Answer: D
Let a/7=b/8=c/9=x
a = 7x, b = 8x and c = 9x
(a+b+c)/b= (7x+8x+9x)/8x =24x/8x =3
RRB ALP 2018 Practice Test Papers | Arithmetic Questions (Day-1)
RRB ALP 2018 Practice Test Papers | Arithmetic Questions (Day-2)
RRB ALP 2018 Practice Test Papers | Arithmetic Questions (Day-3)
