Daily Quiz- 17 Railway ALP/Technician/Group D “Quantitative Aptitude”
Railway Group D & ALP Exam is on the way, this is the most awaited exam as we all have applied for this examination . Here we are presenting Daily Quiz of Math,Reasoning, Science & Current Affairs for Railway Group D & ALP Exam 2018
1. A certain sum is invested for certain time. It amounts to Rs. 55 at 20% per annum. But when
invested at 18% per annum, it amounts to Rs. 50. Find the time?
1) 16 years 2) 20 years 3) 50 years 4) 30 years 5) 40 years
2. What sum of money at compound interest will amount to Rs.13305.60 in 3 years, if the rate of
interest is 8% for first year, 10% for second year and 12% for third year?
1) Rs. 8750 2) Rs. 9800 3) Rs. 10000 4) RS. 10500 5) Rs. 11500
3. Ramu completes a work in 48 days. Vimal completes the same work in 32 days. Ramu starts
working alone and after 8 days Vimal joins him. How many days they will take together to complete
the remaining work?
1) 10 days 2) 16 days 3) 14 days 4) 8 days 5) 15 days
4. A man completes his journey in 10 hours. He goes to some destination and comes back. While
going he drives at a speed of 45 kmph and while coming he drives at a speed of 35 kmph. What is the
total distance he travels?
1) 60.75 km 2) 75.75 km 3) 143.75 km 4) 96.75 km 5) 120.75 km
5. Two places A and B are 180 km apart. A train leaves A to B at the same time another train leaves B
to A. Both the trains meet 6 hours after they start moving. If the train travelling from A to B travels 16
kmph faster than the other train, what is the speed of faster train?
1) 25 kmph 2) 23 kmph 3) 15 kmph 4) 30 kmph 5) 10 kmph
6. A car is sold at a profit of 25%. If both the cost price and selling price is decreased by Rs. 250 the
profit would be 8% more what is the original cost price of cycle?
1) Rs. 1201.50 2) Rs. 1055.25 3) Rs. 1031.25 4) Rs. 1608.75 5) None
7. A person lends Rs. 5600 to ‘X’ for 4 years and Rs. 7200 to ‘Y’ for 6 years. If the person gets Rs.
9184 as interest then what is the rate of interest per annum ?
1) 6% 2) 8% 3) 10% 4) 12% 5) 14%
8. A sum amounts to Rs. 96520 in 2 years and to Rs. 115824 in 3 years compounded annually. What
is the sum? (approx)
1) Rs. 67030 2) Rs. 84050 3) Rs. 77080 4) Rs. 50150 5) Rs. 74000
9. How many different words can be formed with the letters of the word ”THREADING”, so that the
words begin with ‘T’ and end with ‘G’?
1) 120 2) 720 3) 5040 4) 2520 5) 1440
10. A bag contains 8 white and 6 black balls. Three balls are drawn at random. Find the probability that
all the three balls are black?
1) 1/81 2) 1/71 3) 5/91 4) 7/81 5) None
Answer
1) C
Time=[(55-50)/(50×20-55×18)]×100=50
2) C
A=P (1+r1/100) (1+r2/100) (1+r3/100)
13305.60=P (1+8/100) (1+10/100) (1+12/100)
P=10000
3) B
Work done by Ramu for 1 day = 1/48
Work done by Vimal for 1 day = 1/32
Work done by Ramu in 8 days =8 x (1/48)=1/6
Remaining work = 1 – 1/6 = 5/6
Time taken = (5/6)/(1/48+1/32)=16 days
4) C
Let distance be x
x/ 45 + x/ 35=10
x=71.875
Total distance=71.875 x 2 = 143.75
5) B
Let the speed of train be U & V
U+V=180/6=30……………(i)
U=V+16 …………(ii)
From Eq. (i) & (ii)
U=23, V=7
6) C
Let the original cost price is ‘x’, so selling price is
125 x/100 = 5x/ 4
Now CP = x – 250,
S.P. = 5x/4 – 250
Profit = 5x/4 – 250– (x – 250) = 5x/4 – x = x/4
% profit = x/4 * 1/(x – 250) * 100 = 33
25x/(x – 250) = 33
8x = 8250
x = 1031.25
7) E
Let the rate of interest is r% p.a.
5600 * r * 4/100 + 7200 * r * 6/100 = 9184
224 r + 432 r = 9184
r = 9184/656 = 14% pa
8) A
Let the principal is P and rate of interest is r
P (1 + R/100)3 = 115824 —– I
P (1 + R/100)2 = 96520 —— II
Dividing equn I by II
1 + R/100 = 115824/96520
R/100 = 1.2 – 1 = 0.2
R = 0.2 * 100 = 20% pa
P = (1 + 20/100)2 = 96520
p = 96520 * 100/144 = 67027.78 ≈ 67030
9) C
Now 7 letters are left for seven different places.
Req. No. of wages = 7P7 = 7! = 5040
10) C
