Quantitative Aptitude Quiz for IBPS | IPPB – Set 193

In Quants & Reasoning, Reasoning
February 9, 2017

1)Three cars travel same distance with speeds in the ratio 2 : 4 : 7. What is the ratio of the times taken by them to cover the distance?
A) 12 : 6 : 7
B) 14 : 7 : 4
C) 10 : 5 : 9
D) 7 : 4 : 14
E) 14 : 10 : 7

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Answer B) 14 : 7 : 4
s = d/t
Since distance is same, so ratio of times:
1/2 : 1/4 : 1/7 = 14 : 7 : 4

2)Section A and section B of 7th class in a school contains total 285 students. Which of the following can be a ratio of the ratio of the number of boys and number of girls in the class?
A) 6 : 5
B) 10 : 9
C) 11 : 9
D) 13 : 12
E) Cannot be determined

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Answer B) 10 : 9
The number of boys and girls cannot be in decimal values, so the denominator should completely divide number of students (285).
Check each option:
6+5 = 11, and 11 does not divide 285 completely.
10+9 = 19, and only 19 divides 285 completely among all.

3)180 sweets are divided among friends A, B, C and D in which B and C are brothers also such that sweets divided between A and B are in the ratio 2 : 3, between B and C in the ratio 2 : 5 and between C and D in ratio 3 : 4. What is the number of sweets received by the brothers together?
A) 78
B) 84
C) 92
D) 102
E) 88

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Answer B) 84
A/B = N1/D1 B/C = N2/D2 C/D = N3/D3
A : B : C : D = N1*N2*N3 : D1*N2*N3 : D1*D2*N3 : D1*D2*D3
A/B = 2/3 B/C = 2/5 C/D = 3/4
A : B : C : D
2*2*3 : 3*2*3 : 3*5*3 : 3*5*4
4 : 6 : 15 : 20
B and C together = [(6+15)/(4+6+15+20)] * 180

4)Rs 650 was divided among 3 children in the ratio 2 : 4 : 7. Had it been divided in the ratio 1/2 : 1/4 : 1/7, who would have gained the most and by how much?
A) C, Rs 246
B) C, Rs 264
C) B, Rs 18
D) A, Rs 246
E) A, Rs 264

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Answer E) A, Rs 264
New ratio = 1/2 : 1/4 : 1/7 = 14 : 7 : 4
So both ratio suggests that C has not gained any money, rather he has lose the money.
For both ratio find the shares of A and B
With ratio 2 : 4 : 7, A gets = [2/(2+4+7)] * 650 = 100, B gets = [4/(2+4+7)] * 650 = 200
With ratio 14 : 7 : 4, A gets = [14/(14+7+4)] * 650 = 364, B gets = [7/(14+7+4)] * 650 = 182
B has also lose the money, A gain the money and = 364 – 100 = 264

5)The ratio of the number of boys to the number of girls in a school is 6 : 5. If 20% of boys and 45% of girls come by bus to school, what percentage of students opt transport other than bus to come to school?
A) 68 9/11%
B) 68 7/11%
C) 72 7/11%
D) 73%
E) 73 5/11%

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Answer B) 68 7/11%
If 20% of boys and 45% of girls come by bus, then 80% of boys and 55% of girls opt transport other than bus.
Let total number of students in school = x
So boys who opt other transport are (80/100) * 6/(6+5) * x = 24x/55
And girls who opt other transport are (55/100) * 5/(6+5) * x = x/4
So total students who opt other transport = (24x/55) + (x/4) = 151x/220
So required % = [(151x/220)/x] * 100 = 755/11 %

6)The incomes of A and B are in the ratio 1 : 2 and their expenditures are in the ratio 2 : 5. If A saves Rs 20,000 and B saves Rs 35,000, what is the total income of A and B?
A) Rs 30,000
B) Rs 90,000
C) Rs 90,000
D) Rs 60,000
E) Rs 80,000

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Answer C) Rs 90,000
Income of A = x, of B = 2x
Expenditure of A = 2y, of B = 5y
Savings is (income – expenditure). So
x – 2y = 20,000
2x – 5y = 35,000
Solve the equations, x = 30,000
So total = x+2x = 3x = 3*30,000 = 90,000

7)Rs 5750 is divided among A, B, and C such that if their share be reduced by Rs 10, Rs 15 and Rs 25 respectively, the reminder amounts with them shall be in the ratio 4 : 6 : 9. What was C’s share then?
A) Rs 2700
B) Rs 2725
C) Rs 2750
D) Rs 2625
E) None of these

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Answer B) Rs 2725
When the shares reduce, the total amount will also reduce which is to be divided among them. So after reducing shares by Rs 10, Rs 15 and Rs 25 respectively, total amount is 5750 – (10+15+25) = 5700
So C’s share shall be [9/(4+6+9)] * 5700 = 2700
Actually C would have received = 2700 + 25

8)The speed of P, Q and R are in the ratio of 2:3:6, what is the ratio of time taken by each one of them for the same distance ?
A)5:7:2
B)3:2:4
C)1:2:3
D)3:2:1
E)None of these

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Answer D)3:2:1
Explanation :
Speed = ½ : 1/3: 1/6
= 3/6:2/6:1/6
Time = 3:2:1

9)The ratio of income of X and Y is 4:3. The sum of their expenditure is Rs.12,000 and the amount of savings is X is equal to the amount of expenditure of Y.What is the salary of Y?
A)9000
B)7000
C)12000
D)15000
E)None of these

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Answer A)9000
X’s saving = Expenditure of Y = S
4x-S + S = 12000
X = 3000
3x =3*3000 = 9000

10)When 7 is added to the numerator and denominator of the fraction, then the new ratio of numerator and denominator becomes 13:19, what is the original ratio ?
A.11:13
B.7:9
C.4:7
D.Can’t be determined
E.None of these

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Answer D)Can’t be determined
X+7/y+7 = 13/19 x and y are different variable ,so original fraction cannot be determined