Quantitative Aptitude Quiz for IBPS PO Prelims 2016 – Set 1

Directions (Q. 1-5): What will
come in place of question mark (?) in the given number series?

1. 19 30 44
67 117 ?

1) 236 2)
272 3) 264

4) 248 5)
254

2. 7 9 18 46
111 ?

1) 245 2)
229 3) 233

4) 248 5)
237

3. 7 24 58
109 ? 262

1) 183 2)
189 3) 171

4) 163 5)
177

4. 19 20 16
25 9 ?

1) 32 2) 38
3) 34 4) 42 5) 48

5. 7.4 9.2
11.4 14 17 ?

1) 19.8 2)
22.6 3) 23

4) 21 5)
20.4

6. A boat
can travel 4.2 km upstream in 14 minutes. If the ratio of the speed of the boat
in still water to the speed of the stream is 7 : 1, how much time will the boat
take to cover 17.6 km downstream? (in minutes)

1) 52

2) 44

3) 48

4) 36

5) 54

7. A starts
a business with a capital of Rs 1500. B joins the business 6 months after the
start of the business and C joins the business 8 months after the start of the
business. At the end of the year their respective shares in the profit was in
ratio of 5 : 3 : 3. What is the sum of amount put in the business by B and C
together?

1) Rs 3300

2) Rs 3500

3) Rs 4200

4) Rs 4800

5) Rs 4500

8. The
length of a rectangle is 4m more than the side of a square and the breadth of
the rectangle is 4m less than the side of the same square. If the area of the
square is 567 sq m, what is the area of the rectangle? (in sq m)

1) 549

2) 545

3) 557

4) 559

5) 551

9. A sells
an item to B at 20% profit. B sells it to C at 10% profit and C sells it to D
at Rs 116 profit. The difference between the cost price of D and the cost price
of A is Rs 500. How much did B pay to A for the item?

1) Rs 1240

2) Rs 1250

3) Rs 1440

4) Rs 1450 5)
Rs 1400

10. 10 men
can finish a piece of work in 15 days. 8 women can finish the same piece of
work in 25 days. Only 10 women started working and in a few days completed a
certain amount of work. After that 3 men joined them. The remaining work was
completed by 10 women and 3 men together in 5 days. After how many days did 3
men join 10 women?

1) 11

2) 13

3) 15

4) 10

5) 12

Answers:

1. 4
2. 5
3. 5
4. 3
5. 5
6. 2
7. 5
8. 5
9. 3
10. 2

Solutions:

1. The
series is, 11, 11+3, 14+9, 23+27….

2.  The series is 7 + (13 + 1) = 9,

9 + (23
+ 1) = 18, 18 + (33 + 1) = 46,

46 + (43
+ 1) = 111, 111 + (53 + 1) = 237

3. 5; The
series is +17, +34, +51, +68, +85,

…

ie 7 + 17 =
24, 24 + 34 = 58, 58 + 51 = 109,

109 + 68 =
177, 177 + 85 = 262, …

4.  The series is +(1)2, –(2)2,
+(3)2, –(4)2, +(5)2, …

ie 19 + (1)2
= 20, 20 – (2)2 = 16,

16 + (3)2
= 25, 25 – (4)2 = 9, 9 + (5)2  = 34

5. The
series is +1.8, +2.2, + 2.6, +3,

+3.4, …

ie 7.4 + 1.8
= 9.2, 9.2 + 2.2 = 11.4, 11.4 +

2.6 = 14, 14
+ 3 = 17, 17 + 3.4 = 20.4

6. Let the
speed of the boat be 7x and that of the stream be x.

Then,
upstream speed = (7x – x) = 6x

And,
downstream speed = 7x + x = 8x

Now,
upstream speed = 4.2/14×60 = 18 kmph

So, 6x = 18

x = 3 kmph

Thus, speed
of stream = 3 kmph

Downstream
speed = 8 × 3 = 24 kmph

Time taken
downstream to cover 17.6 km

17.6/24×60=
44 minutes

7.  Ratio of profits = 1500 × 12 : 6B : 4C : : 5
: 3 : 3

Capital of B
= (1500 x 12)/6 x 3/5 = 1800

Capital of C
= (1500 x 12)/4 x 3/5 = 2700

Amount of (B
+ C) = 2700 + 1500 = Rs 4500

8. Side of
square = 567 =  23.81

Length of
rectangle = 23.81 + 4 = 27.81

Breadth of
rectangle = 23.81 – 4 = 19.81m

Area of
rectangle = 27.81 × 19.81

= 550.91 →
551m

9.  Let the cost price of A be Rs x. Then the
cost price of B will be 1.2x and the cost price of C will be 1.2x × 1.10 =
1.32x

Then the
cost price of D = x × 1.2 × 1.10 + 116 = Rs 1.32x + 116

Now, 1.32x +
116 – x = 500

or, 0.32x =
500 – 116 = 384

x = 384/32
x 100 = 1200

B’s cost
price = 1200 × 1.2 = Rs 1440

Hence B paid
to A Rs 1440.

10. Ratio of
men to women

(15 × 10)M =
(25 × 8)W

or, 150M =
200W

or, 3M = 4W

W = ¾ M

1 man’s work
= 1/150

(10W + 3M =)
21/2 M can do the work in

1/150
x 21/2 = 7/100 days

65/100
work done by 10 women in (?) days.

8 women – 1
work – 25 days

10 women – 65/100
work in 25 x 8/10 x 65/100 = 13
days