Q:

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?

A) 167 B) 177
C) 187 D) 197
 
Answer & Explanation Answer: B) 177

Explanation:

Let the second & third numbers are 2x & 3x respectively.
ATQ,
5x*6x = 4320
30*x*x = 4320
x*x = 144
x=12
Hence, second number = 5x = 5*12 = 60
Third number = 6x = 6*12 = 72
Ratio of first & second number = ¾
Hence, first number = ( ¾)*60 = 45
Sum of these 3 numbers = 60+72+45 = 177

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 4251
Q:

The ratio of the speed of a boat downstream and speed of the stream is 9:1. If the speed of the current is 3 km per hr, find the distance travelled by the boat upstream in 5 hours.

A) 100 km B) 98 km
C) 109 km D) 105 km
 
Answer & Explanation Answer: D) 105 km

Explanation:

Let the speed of boat in still water is ‘x’ km/hr & that of stream is ‘y’ km/hr.
Then, ATQ
(x+y)/y = 9/1 9y = x + y
x = 8y
y = 3 km/hr
So, x = 24 km/hr
Upstream speed = 24-3 = 21 km/hr
Hence, distance travelled upstream in 5 hours = 21*5 = 105 km.

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

8 5162
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

2 1991
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

0 1570
Q:

What is the value of cosec -150°?

A) -2 B) 2/√3
C) 2 D) -2/√3
 
Answer & Explanation Answer: A) -2

Explanation:
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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

0 2315
Q:

The sum of a non-zero number and its reciprocal is 2. What is the number?

A) 1 B) 2
C) 0 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Numbers
Exam Prep: AIEEE , Bank Exams , CAT

0 1358
Q:

The simplified form of (4x + 3)2 . (3x - 5) - (4x3 - 12x2 + 9x - 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

0 1568
Q:

The average of X, Y, Z is 24. Also, X:Y = 2:3 and X+Y = 60, then find the value of (X-Z)?

A) 9 B) 10
C) 11 D) 12
 
Answer & Explanation Answer: D) 12

Explanation:

X+Y+Z = 24*3 = 72 X:Y = 2:3 (Given)
Let ‘X’ to be 2a & ‘Y’ to be 3a
X+Y = 60 (Given)
2a+3a = 60
5a = 60
a = 12
Hence, X = 24 & Y = 36
From equation (1)...
Z = 72 - 60
Z = 12
Hence, X - Z = 24-12 = 12.

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Filed Under: Average
Exam Prep: Bank Exams

0 2444