Quantitative Techniques Test-4

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Quantitative Techniques Test-4

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Weekly Quiz Competition

Question 1
1 / -0.25

If a man can row at the rate of 5kmph instill water and his rate against current is 3.5kmph, then man 's rate of speed along current is?

A
4.25 kmph

B
6 kmph

C
6.5 kmph

D
8.5 kmph

Solution

Speed of Boat = 5 Km/h
Speed upstream = 3.5 km/h

Speed of upstream = Speed of boat - Speed of water

⇒Speed of water = 5 - 3.5 = 1.5 km/h
⇒Speed downstream = 5 + 1.5 = 6.5 km/h
Question 2
1 / -0.25

If a square field has its area equal to 324m² then the perimeter of the field?

A
72 m

B
81 m

C
64 m

D
54 m

Solution

Area = 342 m²
⇒Side = √342 = 18m
⇒Perimeter = 18 x 4 = 72m
Question 3
1 / -0.25

X alone can complete a piece of work in 40 days. He worked for 8 days and left. Y alone complete the remaining work in 16 days. How long would X and Y together take to complete the work?

A

B
14 days

C
15 days

D

Solution
Question 4
1 / -0.25

The difference between simple interest and compound interest on certain sum of money for 2 years 4% per annum is Rs 1. Find the sum?

A
625

B
512

C
125

D
725

Solution

⇒
Question 5
1 / -0.25

By selling a bicycle for Rs. 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price will be:

A
Rs. 2,600

B
Rs. 2,700

C
Rs. 2,800

D
none

Solution

Let Cost Price was X.
X + 14% of X = 2850
X + 0.14X = 2850
1.14X = 2850
X = 2500.
⇒Cost Price = Rs. 2500.
Now, Selling Price when profit remains at 8% = 2500 + 8% of 2500 = Rs. 2700
Question 6
1 / -0.25

A men went to RBI with Rs 2000. He asked the cashier to give him Rs 10 and Rs 20 notes only in return. The man got 150 notes in all. How many Rs 10 notes did he get in all?

A
50

B
60

C
80

D
100

Solution

x + y = 150 ........(i)
10x + 20y = 2000
⇒ x + 2y = 200 .......(ii)
Solving (i) and (ii),we get
y = 50, x = 100
Question 7
1 / -0.25

If price of a book is first decreased by 25% and then increased by 20% the net percentage change in the price of the book will be

A
10% decrease

B
5% decrease

C
no change

D
5% increase

Solution

Let the original price be Rs. 100.

New final price = 120% of (75% of Rs. 100) = 0.12 * (0.75 * 100) = Rs. 90.
Question 8
1 / -0.25

A dice is rolled twice. What is probability of getting the sum 5?

A
5/12

B
1/6

C
1/9

D
1/8

Solution

Sum of 5 is obtained as (1,4), (2,3), (3,2), (4,1)
⇒Probability = 4/36 = 1/9
Question 9
1 / -0.25

12345 + 13000 + 41240 + 8 = ?

A
66593

B
67593

C
56593

D
65693

Solution

12345 + 13000 + 41240 + 8 = 66593
Question 10
1 / -0.25

Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are

A
4, 8, 12

B
5, 10, 15

C
10, 20, 30

D
12, 24, 36

Solution

Let the required numbers be x, 2x, 3x.
Since H.C.F. = 12
⇒The numbers are: 12, 24, 36