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[WpProQuiz 6985]Directions (1 – 5): Find the wrong number in the given series
1) 96, 46, 72, 180, 630, 2835
a) 96
b) 72
c) 46
d) 180
e) 630
2) 42, 86, 348, 2094, 16758
a) 86
b) 348
c) 2094
d) 16758
e) 42
3) 48, 1764, 1632, 2622, 2530
a) 2622
b) 2530
c) 1632
d) 1764
e) 48
4) 1582, 1602, 1634, 1690, 1782, 1920
a) 1690
b) 1782
c) 1634
d) 1920
e) 1602
5) 124, 63, 64, 130, 524, 4200, 67214
a) 124
b) 63
c) 64
d) 524
e) 67214
Directions (6 – 10): Read the following passage carefully and answer the given questions.
P and Q together can do a piece of work in 6 (2/3) days. R and S can do the same work in 10 days. Q and S together can do the same work in 6 days. P is 50% more efficient than R. P and S started working together after 2 days, Q and R joins with them. At the end of 4 days, all of them left and T completes the remaining work in 3 (1/5) days.
6) A is twice efficient as P and B is thrice efficient as R. A and B started working alternatively begins with A, find the number of days taken to complete the whole work?
a) 12 days
b) 15 days
c) 10 days
d) 24 days
e) 8 days
7) Find the number of days taken to complete the whole work working all together?
a) 6
b) 5
c) 3
d) 4
e) 9
8) P and T started working, after 2 days Q joins with them. After another two days, R joins with them. P and Q left 2 and 3 days before the work was completed respectively, then find the number of days required to complete the whole work?
a) 5 2/3
b) 6 1/3
c) 5 1/4
d) 6 1/2
e) 5 4/5
9) All of them working together and P gets wage of Rs. 1200. Find the total wage?
a) Rs. 8000
b) Rs. 5500
c) Rs. 3800
d) Rs. 4600
e) Rs. 6400
10) P, Q and R started working with 2/3rd, 5/6th and 3/2nd of their original efficiency respectively. Find the number of days required to complete the whole work?
a) 5 days
b) 4 days
c) 6 days
d) 8 days
e) 9 days
Answers :
Direction (1-5) :
1) Answer: c)
96 * 0.5 = 48 (not 46)
48 * 1.5 = 72
72 * 2.5 = 180
180 * 3.5 = 630
630 * 4.5 = 2835
2) Answer: d)
42 * 2 + 2 = 86
86 * 4 + 4 = 348
348 * 6 + 6 = 2094
2094 * 8 + 8 =16760 (16758)
3) Answer: b)
4) Answer: d)
1582Â Â Â Â Â Â Â Â Â Â 1602Â Â Â Â Â Â Â Â Â Â 1634Â Â Â Â Â Â Â Â Â Â 1690Â Â Â Â Â Â Â Â Â Â 1782Â Â Â Â Â Â Â Â Â Â 1922
         20              32              56              92              140
                  12              24              36              48
5) Answer: e)
124 * 0.5 + 1 =63
63 * 1 + 1 = 64
64 * 2 + 2 = 130
130 * 4 + 4 = 524
524 * 8 + 8 = 4200
4200 * 16 + 16 = 67216 (not 67214)
Directions (6 – 10):
P + Q = 3/20 -> (1)
R + S = 1/10 -> (2)
Q + S = 1/6 -> (3)
Equations, (1) + (2) – (3)
(P+Q+R+S) – (Q+S) = 3/20 + 1/10 – 1/6
P + R = (9+6-10)/60
P+R = 5/60
P + R = 1/12 Ã (4)
Efficiency ratio of P to R = 150: 100 = 3:2
Time ratio of P to R = 2: 3
Substitute in equation (4)
1/2x + 1/3x = 1/12
5/6x = 1/12
X = 10
P = 20 days, R = 30 days
Q = 3/20 – 1/20 = 1/10
S = 1/10 -1/30 = 2/30 = 1/15
LCM of 15, 10, 30 and 20 = 60 units (Total work)
P = 3 units
Q = 6 units
R = 2 units
S = 4 units
At the end of 4 days,
(3+4)*2 + (15*2) = 14 + 30 = 44
Remaining = 60 – 44 = 16 units
16 units completed by T in 16/5 days then 60 units completed in 12 days
6) Answer: c)
A =20/2 * 1 = 10 days
B = 30/3 * 1 = 10 days
Total work = 10 units
A = 1 units and B = 1 units
1st cycle (2 days) = 2 units
5th cycle = 2*5 = 10 units
Total number of days = 10 days
7) Answer: b)
LCM of 10, 12, 15, 20 and 30 = 60 units (total work)
P = 3 units
Q = 6 units
R = 2 units
S = 4 units
T = 5 units
Required number of days = 60/(3+6+2+4+5)
= 60/20 = 3 days
8) Answer: d)
LCM of 10, 12, 20 and 30 = 60 units (total work)
P = 3 units
Q = 6 units
R = 2 units
T = 5 units
Let us take the total no of days be x
(x-2)*3 + (x-5)*6 + 5*x +(x-4)*2 = 60
3x-6+6x-30+5x+2x-8 =60
16x – 44 =60
16x = 104
X = 104/16 =26/4 = 6 2/4 = 6 ½ days
9) Answer: a)
LCM of 10, 12, 15, 20 and 30 = 60 units (total work)
P = 3 units
Q = 6 units
R = 2 units
S = 4 units
T = 5 units
Efficiency ratio = 3: 6: 2: 4: 5
Total wage = (1200/3) * 20 = Rs. 8000
10) Answer: c)
LCM of 10, 20 and 30 = 60 units (total work)
P = 3 units => P’s 2/3rd efficiency = 3 * 2/3 = 2 units
Q = 6 units => Q’s 5/6th efficiency = 6 * 5/6 = 5 units
R = 2 units=> R’s 3/2nd efficiency = 2 * 3/2 = 3 units
Required number of days = 60/(2 + 5 + 3) = 60/10 = 6 days
