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Directions (Q. 1 – 5): What value should come in the place of question mark (?) in the following number series?
1) 11, 32, 126, 627, 3758, ?
- 10563
- 15784
- 18247
- 26301
- 20489
2) 71, 248.5, 869.75, ? , 10654.4375
- 3044.125
- 1278.25
- 1896.325
- 2784.5
- 22356.75
3) 34, 42, 111, 397,? , 8781
- 785
- 942
- 826
- 1527
- 1713
4) 1127, 1248, 2976, 3145, 5889, ?
- 6028
- 6114
- 6576
- 6320
- 6472
5) 747, 765, 788, 821, 869, 937, ?
- 984
- 1016
- 1030
- 1178
- 1452
Directions (Q. 6 – 10): What value should come in the place of question mark (?) in the following questions?
6) 12 ¾ % of 2400 + 23 ½ % of 800 + 452 = 1125 ÷ 25 + 4 *?
- 658.5
- 532.5
- 776.5
- 618.5
- 590.5
7) (12/75) of (48/1136) of (32/96) of 10650 =? % of 500
- 8
- 2
- 4
- 6
- None of these
8) 15 1/3 – 4 1/6 + 8 5/12 – 7 2/3 =? + 2 7/12
- 11 2/5
- 13 ¼
- 8 3/7
- 9 1/3
- None of these
9) (6390 ÷ 15) + (7182 ÷ 19) + (10224 ÷ 8) =? – 24 % of 750
- 2534
- 2262
- 2876
- 3148
- None of these
10) ∛157464 + √8836 – 45 % of 800 =? + (1188 ÷ 9) – 362
- 952
- 816
- 878
- 924
- None of these
11) A and B invested in the ratio of 15: 14. The profits are divided in the ratio of 3: 4. If A has invested for 7 months, then B invested for?
- 7 months
- 6 months
- 10 months
- 9 months
- None of these
12) The simple interest on a sum of money is 1/8 of the sum. If the number of years is equal to twice the rate percent per annum, then the rate percent per annum is?
- 2 ½ %
- 4 %
- 5 %
- 3 1/4 %
- None of these
13) Out of 12 students studying in a class, 4 from Madhya Pradesh, 5 from Tamil Nadu and 3 from Delhi. Three students are to be selected at random. What are the chances that at least one is from Delhi?
- 32/57
- 28/63
- 11/34
- 34/55
- None of these
14) A Loss of Rs. 1500 is made by selling an article if one-fourth of it is sold at 12% profit and the remaining at 8 % loss. What is the total cost price of the article?
- 39000
- 50000
- 44000
- 46000
- None of these
15) A boat can travel 9.6 km downstream in 32 minutes. If the speed of the current is 1/5 of the speed of the boat in still water, then find the speed of upstream?
- 8 km/hr
- 10 km/hr
- 12 km/hr
- 16 km/hr
- None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
Following table shows the total number of people went for a different famous place in a certain week and the ratio of male and female also given.
16) Total number of people visited Taj Mahal and Golden Temple together is approximately what percentage of total number of people visited Qutub Minar and Red Fort together?
- 120 %
- 135 %
- 127 %
- 102 %
- 94 %
17) Find the ratio between the total number of male visited Mahapalipuram to that of total number of female visited Golden temple?
- 5 : 2
- 3 : 1
- 7 : 5
- 9 : 7
- None of these
18) Find the difference between the total number of male visited Qutub Minar and Red Fort together to that of female visited the same places?
- 270
- 300
- 200
- 350
- 420
19) Find the average number of female visited Taj Mahal and Red Fort together?
- 2180
- 2230
- 2870
- 2750
- None of these
20) Total number of people visited Mahapalipuram is what percentage of total number of people visited Red Fort?
- 114 %
- 125 %
- 136 %
- 148 %
- 103 %
Answers :
Direction (1-5) :
1). Answer d
The pattern is, *3 – 1, *4 – 2, *5 – 3, *6 – 4, *7 – 5,..
The answer is, 26301
2). Answer a
The pattern is, *3.5
The answer is, 3044.125
3). Answer e
The pattern is, *1 + 23, *2 +33, *3 + 43, *4 + 53, *5 + 63,..
The answer is, 1713
4). Answer b
The pattern is, +112, +123, +132, +143, +152, +163,..
The answer is, 6114
5). Answer c
The difference of difference is, 5, 10, 15, 20, 25,..
The answer is, 1030
Direction (6-10) :
6). Answer c
(51/400)*2400 + (47/200)*800 + 2025 = (1125/25) + 4x
306 + 188 + 2025 – 45 = 4x
2474 = 4x
X = 2474/4 = 618.5
7). Answer a
(12/75)* (48/1136)*(32/96) * 10650 = (x/100)*500
24 = 5x
X = 24/5 = 4.8
8). Answer d
15 1/3 – 4 1/6 + 8 5/12 – 7 2/3 – 2 7/12 = x
(15 – 4 + 8 – 7 – 2) (1/3 – 1/6 + 5/12 – 2/3 – 7/12) = x
10 [(4 – 2 + 5 – 8 – 7)/12] = x
X = 10 (-8/12) = 10 (-2/3)
X = (30 – 2)/3 = 28/3 = 9 1/3
9). Answer b
(6390 ÷ 15) + (7182 ÷ 19) + (10224 ÷ 8) = x – (24/100)*750
426 + 378 + 1278 = x – 180
426 + 378 + 1278 + 180 = x
X = 2262
10). Answer a
54 + 94 – (45/100)*800 = x + (1188/9) – 1296
54 + 94 – 360 + 1296 = x + 132
54 + 94 – 360 + 1296 – 132 = x
X = 952
11). Answer c
Investment ratio = 15:14
Profits = 3:4, A has invested for 7 months.
Ratio of Profit = 15*7: 14*x = 15: 2x
According to the question,
15/2x = ¾
60 = 6x
X = 10 months
12). Answer a
S.I = (1/8) P
(1/8) P = (P × 2r × r) / 100 (Here n=2r)
1/8 = 2r2 / 100
r2 = 50/8 = 25/4
r = 5/2 = 2 ½ %
13). Answer d
Total probability = 12C3
Required probability= 1- none is from Delhi
None is from Delhi,
= > 9C3
Required probability= 1- none is from Delhi
= > 1 – (9C3 / 12C3)
= > 1 – (21/55)
= > 34/55
14). Answer b
Let cost price be x,
Loss = 1500 = Cp – Sp
X – [X*(1/4)*(112/100) + x*(3/4)*(92/100)] = 1500
X – (28x + 69x)/100= 1500
100x – 97x = 150000
3x = 150000
X = Rs. 50000
15). Answer c
Let the speed of the boat in still water be x km/hr
Speed of the current = x/5
Speed of downstream = x + x/5= 6x/5
Speed of downstream = 9.6/(32/60) = 9.6*(60/32)= 18 km/hr
So,
6x/5= 18
x = 15 km/hr
Speed of boat in still water = 15 km/hr
Speed of current = 15/5 = 3 km/hr
Speed of upstream = 15 – 3 = 12 km/hr
Direction (16-20) :
16). Answer b
Total number of people visited Taj Mahal and Golden Temple together
= > 5200 + 3200 = 8400
Total number of people visited Qutub Minar and Red Fort together
= > 2600 + 3600 = 6200
Required % = (8400/6200)*100 = 135 %
17). Answer a
The total number of male visited Mahapalipuram
= > 4500*(2/3) = 3000
The total number of female visited Golden temple
= > 3200*(3/8) = 1200
Required ratio = 3000: 1200 = 5: 2
18). Answer c
The total number of male visited Qutub Minar and Red Fort together
= > 2600*(5/13) + 3600*(5/9)
= > 1000 + 2000 = 3000
The total number of female visited Qutub Minar and Red Fort together
= > 2600*(8/13) + 3600*(4/9)
= > 1600 + 1600 = 3200
Required difference = 3200 – 3000 = 200
19). Answer d
The total number of female visited Taj Mahal and Red Fort together
= > 5200*(3/4) + 3600*(4/9)
= > 3900 + 1600 = 5500
Required average = 5500/2 = 2750
20). Answer b
Required % = (4500/3600)*100 = 125 %
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