Mixed Aptitude Quiz - 6 : For IBPS PO Pre Exam 2016 (Part 4)

Ques 1.

A man can row 12 km/hr in still water. When the river is running at 4 km/hr, it takes him 6 hrs to row to a place and come back. How far is the place?

Time = Distance / Speed

D/(12+4) + D/(12-4) = 6

D/16 + D/8 = 6

 D = 32 Km

Ques 2.

18, 96, 161, 213, 252, ?

18+(13*6) = 96

96+(13*5) = 161

161+(13*4)= 213

213+(13*3)= 252

252+(13*2)= 278

Ques 3.

I.20x^2 – 31x + 12 = 0               II.20y^2 – y – 12 = 0

20x^2 – 16x – 15x + 12 = 0

 X = 4/5 and 3/4

20y^2 –16y+15y– 12 = 0

Y = 4/5 and -3/4

x = y or the relationship cannot be established.

Ques 4.

6209 + 3284 + 1927 + 2147 + 3228 + 3047 =?

Add 1000 place digits = 6+3+1+2+3+3 = 18

18*1000 = 18000

Add 100  Place digits = 2+2+9+1+2+0 = 16

16*100 = 1600

Add 10 place digits = 0+8+2+4+2+4= 20

20*10 = 200

Add 1 place digits = 9+4+7+7+8+7 = 42

Now add = 18000+1600+200+42 = 19842

Ques 5.

Kishore lent out Rs.9500 at 8% per annum for a year 2 years 6 months.At the end of the duration,what amount he earned ?

Rate * Time = 8*5/2 = 20%

100% ---- 9500

20%  ----    ?

Simple Interest  = 1900

Ques 6.

The ratio between the present age of P and Q is 7:4.The ratio between the age of P and Q four years ago is 2:1.What is the ratio age of P and Q four years hence

Present age = 7:4 (difference 7-4=3)

4 years ago ratio = 2:1 (difference 2-1=1)

New Ratios:

Present age = 7:4 *1 = 7:4

4 years ago ratio = 2:1 *3 = 6:3

Difference between any person ratio = 1 units

Age difference = 4 years

P and Q  ages are 28 and 16

After 4 years Ratios = 32:20 = 8:5

Ques 7.

A cricketer has completed 14 innings and his average is 20.5 runs. How many runs must he make in his next innings so as to raise his average to 22?

Total runs in 24 innings = 492

Total runs in 25 innings = 22*25 =550

25^th innings score = 550-492 = 58 runs 

Ques 8.

If the sides of a equilateral triangle is increased by 40% , 30%and 30%then a new triangle is formed. By what % perimeter of the triangle is increased?

a = side of the triangle
Perimeter = 3a
New perimeter = a*140/100 + a*130/100 + a*130/100
= a(14+13+13)/10 = 40a/10 = 4a

% increased in perimeter = (4a – 3a/3a)*100
= 100/3 = 33.33%

Ques 9.

P and Q are two alloys of gold and copper in the ratio 5:3 and 3:7.Equal quantities of these alloy mixed to form a new alloy.The ratio of gold and copper in the new alloy is

New ratio of P and Q = (5/8 + 3/10) / (3/8+ 7/10 )

P : Q = (25+12) : (15+28) = 37:43

Ques 10.

A , B and C invested Rs. 16000, Rs. 8000 and Rs. 16000 respectively to open a business. A left after 6 months. If after 8 months, there was a gain of Rs. 8010, then What will be the share of B?

A : B : C = (16000 x 6) : (8000 x 8) : (16000 x 8)

è48 : 32 : 64 = 3 : 2 : 4

B’s share = Rs.8010 x 2/9 = Rs. 1780

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