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Directions (Q. 1 – 5) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
a) If x > y
b) If x ≥ y
c) If x < y
d) If x ≤ y
e) If x = y or the relation cannot be established
1) I. x2 – 9x – 112 = 0
II. y2 + 26y – 87 = 0
2) I. 12x2 + 37x + 28 =0
II. 14y2 + 39y + 27 = 0
3) I. 4x2 + 23x – 72 = 0
II. 5y2 – 28y + 32 = 0
4) I. x2 + 5√7 + 42 = 0
II. y2 + 6√7 + 56 = 0
5) I. 2x2 – 302 = 420
II. y – √361 = 0
Directions (Q. 6 – 10) what value should come in place of question mark (?) in the following questions?
6) (6 × 6)4 ÷ (9720 ÷ 45)3 × (96 × 81)2 = (6)? + 8
a) 4
b) 3
c) 1
d) 2
e) None of these
7) 58 % of 1650 + (5/21) of 20370 – 32 % of 1500 = ?
a) 5327
b) 4153
c) 4879
d) 5692
e) None of these
8) 13 5/8 + 11 ¾ – 9 ½ – 10 1/4 = ? – 5 ¼
a) 11 5/6
b) 11 3/4
c) 10 4/5
d) 10 7/8
e) None of these
9) ∛(373248) % of 750 – √26244 ÷ 27 = (3/7) of (4/3) of 2016 – ?
a) 524
b) 618
c) 676
d) 562
e) None of these
10) 522 ÷ 13 × 22 + 272 = 4 × ? – 65 % of 3900
a) 1960
b) 2350
c) 2780
d) 1740
e) None of these
11) The ratio between the present ages of P and Q is 3 : 5. Present age of R is 7 years more than the present age of Q. The average present age of P, Q and R is 24 years. Find the present age of R?
a) 28 years
b) 30 years
c) 32 years
d) 34 years
e) None of these
12) A, B and C started a business by investing in the ratio of 1 : 2 : 4. After 6 months, B invested Rs. 6000 more. Find initial investment of C, if the ratio of shares of A, B and C is 20 : 43 : 80?
a) Rs. 80000
b) Rs. 40000
c) Rs. 60000
d) Rs. 50000
e) None of these
13) In a mixture of 240 liters, the ratio of milk to water is 7 : 5. If this ratio is to be 7 : 8, then find the quantity of water should be added to the mixture?
a) 40 liters
b) 50 liters
c) 25 liters
d) 60 liters
e) None of these
14) A can complete 2/3 of the work in 16 days. While A and B together can complete the work in 8 days, then find the time required by C who is twice efficient than B?
a) 8 days
b) 6 days
c) 10 days
d) 12 days
e) None of these
15) If the numerator of the fraction is increased by 25 % and the denominator is decreased by 15 %, then the resultant fraction is 35/68. Find the original fraction?
a) 9/17
b) 5/13
c) 7/20
d) 17/40
e) None of these
Directions (Q. 16 – 20) Study the following information carefully and answer the given questions:
The following bar graph shows the profit (In lakhs) made by 5 different companies in three different years.
16) Total profits of company P, R and T together in the year 2015 is approximately what percentage of total profits of company Q, R and S together in the year 2017?
a) 90 %
b) 75 %
c) 115 %
d) 130 %
e) 100 %
17) Find the average profits of all the given companies together in the year 2016?
a) 116 lakhs
b) 104 lakhs
c) 98 lakhs
d) 92 lakhs
e) None of these
18) Find the difference between the total profits of all the given years together in the year 2015 to that in the year 2017?
a) 65 lakhs
b) 58 lakhs
c) 74 lakhs
d) 82 lakhs
e) None of these
19) Find the ratio between the total profits of company Q to that of company R in all the given years together?
a) 21 : 52
b) 43 : 65
c) 50 : 63
d) 115 : 129
e) None of these
20) Total profits of company P in all the given years together is approximately what percentage less than the total profits of company S in all the given years together?
a) 30 % more
b) 50 % less
c) 50 % more
d) 30 % less
e) 65 % less
Answers :
Direction (1-5) :
1). Answer: e)
Explanation:
I. x2 – 9x – 112 = 0
x2 – 16x + 7x – 112 = 0
x(x – 16) + 7(x – 16) = 0
(x + 7) (x – 16) = 0
X = -7, 16
II. y2 + 26y – 87 = 0
y2 + 29y – 3y – 87 = 0
y (y + 29) – 3(y + 29) = 0
(y – 3) (y + 29) = 0
Y = 3, -29
Can’t be determined
2). Answer: e)
Explanation:
I. 12x2 + 37x + 28 =0
12x2 + 16x + 21x + 28 =0
4x(3x + 4) + 7(3x + 4) = 0
(4x+ 7) (3x + 4) = 0
X = -7/4, -4/3 = -1.75, -1.33
II. 14y2 + 39y + 27 = 0
14y2 + 21y + 18y + 27 = 0
7y(2y + 3) + 9(2y + 3) = 0
(7y + 9) (2y + 3) = 0
Y = -9/7, -3/2 = -1.28, -1.5
Can’t be determined
3). Answer: e)
Explanation:
I. 4x2 + 23x – 72 = 0
4x2 + 32x – 9x – 72 = 0
4x (x + 8) – 9(x + 8) = 0
(4x – 9) (x + 8) = 0
X = 9/4, -8 = 2.25, -8
II. 5y2 – 28y + 32 = 0
5y2 – 20y – 8y + 32 = 0
5y(y – 4) – 8 (y – 4) = 0
(5y – 8) (y – 4) = 0
Y = 8/5, 4 = 1.6, 4
Can’t be determined
4). Answer: e)
Explanation:
I. x2 + 5√7 + 42 = 0
x2 + 3√7x + 2√7x + 42 = 0
x (x + 3√7) + 2√7 (x + 3√7) = 0
(x + 2√7) (x + 3√7) = 0
X = – 2√7, -3√7
II. y2 + 6√7 + 56 = 0
y2 + 4√7y + 2√7y + 56 = 0
y(y + 4√7) +2√7 (y + 4√7) = 0
(y + 2√7) (y + 4√7) = 0
Y = -2√7, -4√7
Can’t be determined
5) Answer: d)
Explanation:
I. 2x2 – 302 = 420
2x2 = 302+ 420
2x2 = 722
X2 = 361
X = 19, -19
II. y – √361 = 0
Y = √361
Y = 19
x ≤ y
Direction (6-10 :
6). Answer: c)
Explanation:
(62)4 ÷ (9720/45)3 × (96 × 81)2 = (6)x + 8
68 ÷ (216)3 × (7776)2 = 6x + 8
68 ÷ (63)3 × (65)2 = 6x + 8
68 ÷ (69) × (610) = 6x + 8
68 -9 + 10 = 6x+ 8
69 = 6x + 8
X + 8 = 9
X = 1
Answer: a)
7). Explanation:
(58/100)*1650 + (5/21)*20370 – (32/100)*1500 = x
X = 957 + 4850 – 480
X = 5327
8). Answer: d)
Explanation:
13 5/8 + 11 ¾ – 9 ½ – 10 1/4 + 5 ¼ = x
(13 + 11 – 9 – 10 + 5) (5/8 + ¾ – ½ – ¼ + 1/4) = x
X = 10 [(5 + 6 – 4)/8]
X = 10 (7/8)
9). Answer: b)
Explanation:
∛(373248) % of 750 – √26244 ÷ 27 = (3/7) * (4/3) * 2016 – x
72 % of 750 – (162/27) = (3/7) * (4/3) * 2016 – x
(72/100)*750 – 6 = 1152 – x
540 – 6 = 1152 – x
X = 1152 – 534
X = 618
10). Answer: a)
Explanation:
(52*52*22)/13 + 729 = 4x – (65/100)*3900
4576 + 729 + 2535 = 4x
4x = 7840
X = 1960
11). Answer: c)
Explanation:
The ratio between the present ages of P and Q = 3 : 5 (3x, 5x)
Present age of R = Present age of Q + 7 = 5x + 7
The average present age of P, Q and R = 24 years
The total present age of P, Q and R = 24*3 = 72 years
According to the question,
3x + 5x + 5x + 7 = 72
13x = 65
X = 5
Present age of R = 5x + 7 = 25 + 7 = 32 years
12). Answer: a)
Explanation:
The share of A, B and C
= > [x*12] : [2x*6 + (2x + 6000)*6] : [4x*12] = 20 : 43 : 80
= > [12x] : [12x + 12x + 36000] : [48x] = 20 : 43 : 80
= > 12x : 24x + 36000 : 48x = 20 : 43 : 80
According to the question,
= > 12x/(24x + 36000) = (20/43)
= > 120x + 180000 = 129x
= > 9x = 180000
= > x = 20000
The initial investment of C = 4x = Rs. 80000
13). Answer: d)
Explanation:
Total Quantity = 240 liters
The ratio of milk to water = 7 : 5
Milk = 140 liters, Water = 100 liters
According to the question,
140/(100 + x) = 7/8
160 = 100 + x
X= 60 liters
So, 60 liters of water should be added.
14). Answer: b)
Explanation:
A’s whole work,
(2/3)*A’s work = 16
A’s work = 16*(3/2) = 24 days
(A+ B)’s work = 8 days
B’s one day work = (1/8) – (1/24) = 1/12
B’s whole work = 12 days
(B : C)’s efficiency = 1 : 2
(B : C)’s day ratio = 2 : 1
So, 2’s = 12
1’s = 6
C’s whole work = 6 days
15). Answer: c)
Explanation:
Let the original fraction be x/y,
[X*(125/100)] / [y*(85/100)] = 35/68x/y = (35/68)*(85/125)
x/y = (7/20)
Direction (16-20) :
16). Answer: b)
Explanation:
Total profits of company P, R and T together in the year 2015
= > 75 + 85 + 80 = 240 lakhs
Total profits of company Q, R and S together in the year 2017
= > 70 + 110 + 135 = 315 lakhs
Required % = (240/315)*100 = 75 %
17). Answer: C)
Explanation:
The average profits of all the given companies together in the year 2016
= > (50 + 80 + 120 + 130 + 110)/5
= > 490/5 = 98 lakhs
18). Answer: a)
Explanation:
Total profits of all the given years together in the year 2015
= > 75 + 100 + 85 + 95 + 80 = 435 lakhs
Total profits of all the given years together in the year 2017
= > 60 + 70 + 110 + 135 + 125 = 500 lakhs
Required difference = 500 – 435 = 65 lakhs
19). Answer: c)
Explanation:
The total profits of company Q in all the given years together
= > 100 + 80 + 70 = 250 lakhs
The total profits of company R in all the given years together
= > 85 + 120 + 110 = 315 lakhs
Required ratio = 250 : 315 = 50 : 63
20). Answer: b)
Explanation:
Total profits of company P in all the given years together
= > 75 + 50 + 60 = 185 lakhs
Total profits of company S in all the given years together
= > 95 + 130 + 135 = 360 lakhs
Required % = [(360 – 185)/360]*100 = 48.6 % = 50 % less
Daily Practice Test Schedule | Good Luck
| Topic | Daily Publishing Time |
| Daily News Papers & Editorials | 8.00 AM |
| Current Affairs Quiz | 9.00 AM |
| Quantitative Aptitude “20-20” | 11.00 AM |
| Vocabulary (Based on The Hindu) | 12.00 PM |
| General Awareness “20-20” | 1.00 PM |
| English Language “20-20” | 2.00 PM |
| Reasoning Puzzles & Seating | 4.00 PM |
| Daily Current Affairs Updates | 5.00 PM |
| Data Interpretation / Application Sums (Topic Wise) | 6.00 PM |
| Reasoning Ability “20-20” | 7.00 PM |
| English Language (New Pattern Questions) | 8.00 PM |
