The sum of three numbers is 540. The ratio of second to third is 9 : 13 and that of first to third is 2 : 7. The third number is
273
280
250
286
A.
273
B : C = 9 : 13 ...(i)
A : C = 2 : 7
or
C : A = 7 : 2 ...(ii)
From (i) and (ii)
B : C : A = 9 x 7 : 13 x 7 : 13 x 2 = 63 : 91 : 26
Therefore,
Third number
An article is sold at a certain price. If it is sold at half of the previous selling price, then there is a loss of The profit after selling the article at the previous selling price is:
51%
49%
B.
49%
Let cost price be Rs. 100/-
and selling be Rs. x /-
According to the question,
∴ Gain percentage
15 men can finish a piece of work in 40 days. The days after which 5 men should leave the work so that the work is finished in 45 days altogether is
10
20
30
35
C.
30
Let the required number of days be x.
According to the question,
M_{1}W_{1} = M_{2}W_{2}
15 x 40 = 5 x (x) + 10 x (45)
600 = 5x + 450
5x = 150, x = 30
Cost price of an article is ₹ 200/-. If 20% profit is made after giving 20% discount on marked price, the marked price is
₹ 320/-
₹ 420/-
₹ 450/-
A.
₹ 300/-Shortcut Method:
If a + b = 3, then the value of a^{3} + b^{3} + 9ab is
27
9
16
81
A.
27
a + b = 3
On cubing both sides,
(a + b)^{3} = (3)^{3}
a^{3} + b^{3} + 3ab(a + b) = 27
a^{3} + b^{3} + 3ab x 3 = 27
∴ a^{3} + b^{3} + 9ab = 7
If A's salary is 30% more than that of B, then how much percent is B's salary less than that of A?
13.01%
13.07%
23.07%
23.01%
C.
23.07%
The rate of simple interest for which ₹ 6,000/- will amount to ₹ 6,900/- in 3 years is
5%
7%
2%
4%
A.
5%
In a ΔABC, D and E are points on AC and BC respectively, AB and DE are perpendicular to BC. If AB = 9cm, DE = 3 cm and AC = 24 cm, then AD is
32 cm
16 cm
8 cm
4 cm
B.
16 cm
If (a + b)^{2} = 100 and (a - b) = 4, then ab equals to
116
84
21
53
C.
21
(a + b)^{2} = 100
∴ a + b = 10 ...(i)
a - b = 4 ...(ii)
On solving equations (i) and (ii),
2a = 14 ⟹ a = 7, b = 3
∴ ab = 7 x 3 = 21
A man travels for 14 hours 40 min. He covers half of the journey by train at the rate of 60 km/hr and rest half by road at the rate of 50 km/hr. The distance travelled by him is
720 km
800 km
960 km
1000 km
B.
800 km
Let total distance = x km
According to the question,
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