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I. x2 + 6x – 16 = 0
II. y2 – 9y + 18 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 + 25x + 150 = 0
II. y2 – 6y – 112 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 – 19x + 84 = 0
II. y2 + 8y – 84 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. 2x2 – 19x + 45 = 0
II. 2y2 – 19y + 66 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
I. x2 + 14x – 147 = 0
II. y2 – 20y + 96 = 0
(a) x > y
(b) x < y
(c) x = y or the relationship cannot be established
(d) x ≥ y
(e) x ≤ y
Simple interest on a certain amount is 36/64 of the principle. If the
numbers representing the rate of interest in percent and time in years
be equal, then time, for which the principal is lent out, is:
(a) 8.5 years
(b) 9 years
(c) 7.5 years
(d) 15 years
(e) None of these
How many kilograms of wheat costing Rs 18 per kg must be mixed
with 24 kg of sugar costing Rs 8 per kg so that there may be a gain of
10% by selling the mixture at Rs 11 per kg?
(a) 6 kg
(b) 8 kg
(c) 6.5 kg
(d) 4 kg
(e) None of these
Two trains, one from Lucknow to Kolkata and other from Kolkata to
Lucknow, start simultaneously. After they meet, the trains reach their
destinations after 16 hours and 25 hours respectively. The ratio of their
speeds is:
(a) 4 : 5
(b) 5 : 4
(c) 8 : 17
(d) 15 : 16
(e) None of these
A train P leaves station A at 6 am and reaches station B at 10 am.
Another train Q leaves station B at 8 am and reaches station B at 11.30
am. At what time do the two trains cross each other?
(a) 9.15 am
(b) 8.56 am
(c) 8.40 am
(d) 9.30 am
(e) None of these
A, B and C can complete a work separately in 12, 18 and 24 days
respectively. They started together but C left after 4 days of start and A
left 3 days before the completion of the work. In how many days will the
work be completed?
(a) 7.8 days
(b) 8.4 days
(c) 9.6 days
(d) 10 days
(e) None of these
10 men can complete one-third of a piece of work in 40 days. How
many more men should be employed to finish the rest of the work in 25
more days?
(a) 16
(b) 32
(c) 22
(d) 20
(e) None of these
Find the compound interest received on Rs 20000 when invested at
18% p.a. compound interest, compounded annually for 2 years 4
months.
(a) Rs 8218.68
(b) Rs 9518.88
(c) Rs 7052.88
(d) Rs 9605.88
(e) None of these
A boat can travel 126 km upstream as well as 108 km downstream in
15 hours and the same boat can travel 84 km upstream and 90 km
downstream in 11 hours. Find the ratio of speed of boat in still water to
speed of stream.
(a) 8 : 1
(b) 5 : 2
(c) 9 : 4
(d) 1 : 8
(e) None of these
Find total number of ways in which the word “ITALIAN” can be
arranged so that all vowels appear together.
(a) 200
(b) 180
(c) 360
(d) 420
(e) None of these
Ratio of speeds of A and B is 9 : 7 respectively. If A gives B a start of
60 metres then how far must be the winning post so that A and B reach it
at the same time?
(a) 270 metres
(b) 180 metres
(c) 360 metres
(d) 320 metres
(e) None of these
Ratio of monthly expenditures of A to B is 3 : 2 while ratio of monthly
savings of A to B is 7 : 9. If the monthly income of A is Rs 6200 while that of B is Rs 6300, then find the ratio of expenditure of B to the savings of A?
(a) 35 : 18
(b) 17 : 19
(c) 19 : 25
(d) 18 : 35
(e) None of these
A mixture of petrol, kerosene and spirit contains 50 litres of petrol,
(y + 10) litres of kerosene and (y – 5) litres of spirit. The ratio of petrol
and spirit is 10 : 9. If 62 litres of this mixture is replaced with 30 litres of
spirit, the what will be the ratio of the petrol and spirit in the resultant
mixture?
(a) 11 : 19
(b) 19 : 10
(c) 10 : 19
(d) 14 : 17
(e) None of these
19% of 7600 + 7.14% of 1372 + 12.5% of 7680 = ?2
(a) 25
(b) 30
(c) 50
(d) 45
(e) None of these
(2/19) of 1064 + (1/17) of 4250 = (2/13) of ?
(a) 2353
(b) 2463
(c) 2833
(d) 2753
(e) None of these
(19 × 76) + 242 × 3 + ∛13824 = ?
(a) 3096
(b) 3196
(c) 3246
(d) 3396
(e) None of these
