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Q:

The difference between the simple interest obtained by investing Rs. 'X' with 8% per annum for an year and by investing Rs. 'X+1400' with 8% per annum for two years is 240 Rs. Find the value of X.

A) 200	B) 100
C) 400	D) 300

Answer & Explanation Answer: A) 200

Explanation:

[(X+1400)*8*2/100] - [(X*8*1)/100]= 240
0.16X + 14*16 - 0.08X = 240
0.08X = 240 - 224
0.08X = 16
X = Rs. 200

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Filed Under: Simple Interest
Exam Prep: Bank Exams

Q:

Average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 years, and B is 5 years younger to C, then find the difference between the age of A and C?

A) 6	B) 9
C) 12	D) 15

Answer & Explanation Answer: B) 9

Explanation:

Let the present ages of A & B to be ‘a’ & ‘b’ respectively.
Hence, 2 years ago, their ages must have been (a-2) & (b-2) respectively.
Average of their ages at that time = 26
Hence,
[(a-2)+(b-2)]/2 = 26
(a-2)+(b-2) = 52
a+b = 56
Age of A, 5 year hence = 40 years
Hence, (a+5) = 40
a = 35 years
Hence, b = 56 - 35 = 21 years
B = (C-5)
Hence, C = 21+5 = 26 years
Age difference between A & C = 35 - 26 = 9 years.

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

Q:

The simplified form of ${(4 x + 3)}^{2} . (3 x - 5) - (4 x^{3} - 12 x^{2} + 9 x - 20)$ is

A) 6x2- 48x - 50	B) 24x3 + 2x2 - 32x - 15
C) 44x3 + 4x2 - 102x - 25	D) 24x3 + 8x2 - 42x - 50

Answer & Explanation Answer: C) 44x3 + 4x2 - 102x - 25

Explanation:

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Filed Under: Square Roots and Cube Roots
Exam Prep: AIEEE , Bank Exams , CAT

Q:

The annual salary of Arun is 7.68 lac. If he spends Rs. 12000 on his children, 1/13th of rest of the salary on food and Rs. 8000 in mutual funds, then find the monthly saving he is left with?

A) Rs. 38000/-	B) Rs. 39500/-
C) Rs. 40000/-	D) Rs. 41250/-

Answer & Explanation Answer: C) Rs. 40000/-

Explanation:

Annual salary of Arun = 7,68,000 Rs.
Monthly salary = 7,68,000/12 = Rs. 64,000
Spending on children = Rs. 12,000
Rest = 52,000
1/13th of the rest = 52,000/13 = Rs. 4,000 is spent on food.
Rs. 8,000 is spent in mutual funds.
Monthly savings = 64,000 - (12,000+4,000+8,000) = Rs. 40,000.

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

A can do a work in 24 days. B is 20% more efficient than A. If C can do the work in 10 more days than B, find the time taken by A and C together to complete the work.

A) 43/3 days	B) 40/3 days
C) 50/3 days	D) 41/2 days

Answer & Explanation Answer: B) 40/3 days

Explanation:

A takes 24 days to complete a work.
B is 20% more efficient than A,
hence B will take (24*100)/120 = 20 days.
C takes (20+10) = 30 days.
Time taken by A & C in completing the work = (24*30)/(24+30) = (24*30)/54 = 40/3 days.

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Filed Under: Time and Work
Exam Prep: Bank Exams

Q:

The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.

A) 12 litres	B) 14 litres
C) 16 litres	D) 17 litres

Answer & Explanation Answer:

Explanation:

Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

Q:

If cosC + cosD = x, then value of x is

A) 2cos[(C+D)/2]cos[(C-D)/2]	B) 2sin[(C+D)/2]sin[(C-D)/2]
C) 2cos[(C+D)/2]sin[(C-D)/2]	D) 2sin[(C+D)/2]cos[(C-D)/2]

Answer & Explanation Answer: A) 2cos[(C+D)/2]cos[(C-D)/2]

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If x + y = 12 and xy = 32, then what is the value of $x^{2} + y^{2}$ ?

A) 24	B) 144
C) 128	D) 80

Answer & Explanation Answer: D) 80

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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