Page 110 - AFCAT Solved Papers 2011 - 2019 SSBCrack eBook

58. (a) Let the sum be Rs. x. Then, 62. (d) Amount of milk after 3 operations
é æ 4 ö 2 ù æ 676 ö 51 é 4 ö 3 ù
C.I. = x 1+ ç ê - xú ÷ = ç x - x = ÷ x = 40 1- ê æ ç ÷ ú litres
è 100 ø ë û è 625 ø 625 ë è 40 ø û

x 4 2 ö ´ æ ´ 2x
S.I. = ç ÷ = . æ 9 ´ 9 ´ 9 ö
è 100 ø 25 = 40´ ç è 10 10 10 ø ÷ = 29.16 litres
51x 2x 63. (d) Let the distance = d
\ - = 1
625 25 Speed of upstream = 9 – 3 = 6 km/h
Þ x = 625 Speed of down stream = 9 + 3 = 12 km/h
59. (a) Suppose he move 4 km downstream in x hours. Then, d d
æ 4 ö Now, + 6 12 = 3
Speed downstream = ç ÷ km/hr. .
è x ø
3d
æ 3 ö = 3
Speed upstream = ç ÷ km/hr. . 12
è x ø
d = 12 km
48 48 1 Hence distance = 12 km
\ + = 14 or x =
(4 / x ) (3 / x ) 2 64. (b) Principal + S.I for 2 years = `720 ...(1)
So, Speed downstream = 8 km/hr, Speed upstream Principal + S.I for 7 years = `1020 ...(2)
= 6 km/hr. Clearly S.I for 5 years = 1020 – 720 = `300
1 Now S.I for 2 years = 300 ´ 2 = `120
Rate of the stream = (8 – 6) km/hr = 1 km/hr. . 5
2 from (1)
60. (b) Income Expenditure Principal = 720 – 120 = `600
Ram 3x 4y
Shyam 4x 5y 65. (c) Let present age of X and Y are 7x and 5x respectively
1 7x 4 11
+
Q Shyam's saving = of his income Now, =
3 5x 4 9
+
1
4x – 5y = × 4x 63x + 36 = 55x + 44
3
4 8x = 8
4x – x = 5y
3 x = I
So, present age of y = 5 × 1 = 5 year.
8 x = 5y 66. (c) First is the part of second.
3
67. (c) Second is necessary to acquired the first.
15 68. (d) First indulges in the second.
x = y ...(i)
8 69. (b) Second is the synonym of first.
Ram's Savings 3x – 4y 70. (c) First is the result of second.
Now, =
Shyam's Savings 4x – 5y 71. (c) All except lizard are insects, while lizard is a reptile.
15 72. (d) Potato is the only vegetable in the group which grows
3´ y – 4y underground.
8
= 15 = 13 73. (c) Bronze – All others are metals.
4 ´ y – 5y 20
8 74. (c) Pious – All others are synonyms.
75. (b) All except Badravati are places related to Gandhi ji.
Hence ratio of their savings = 13 : 20.
81. (b) Zoology is a branch of Biology
61. (b) C alone can finish the work in 40 days So Outer circle representing Biology and Inner circle
1 representing Zoology.
Q C does as much as A and B together Now, Biology and Physics are different branch of
2
So, A and B can finish the work in 20 days. science.
So, together they will finish in
´
40 20 40 Physics
+
40 20 = 3 days
1 Above diagram indicates the best relation b/w Biology,
= 13 days Zoology and Physics.
3