Quantitative Ability Test-2

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Quantitative Ability Test-2

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Question 1
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A sum of Rs. 10000 is divided into two parts such that the simple interest on first part for 1 year 3 months at the rate of per annum is half the simple interest on the second part for 13 years 4 months at the rate of per annum then what is the difference between two parts?

A
Rs. 400

B
Rs. 500

C
Rs. 600

D
Rs. 700

Solution

Given:

Total amount = Rs. 10000

The simple interest on first part for 1 year 3 months at the rate of per annum is half the simple interest on the second part for 13 years 4 months at the rate of per annum.

Formula:
Question 2
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Mr. Manju sold a bus for Rs. 17,000 at a loss of 15%. At what price should the bus be sold to get a profit of 15%?

A
Rs. 23,000

B
Rs. 23,500

C
Rs. 24,000

D
Rs. 24,500

Solution
Question 3
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What least number must be subtracted from 2963 so that the resulting number when divided by 9,10 and 15 , the remainder in each case is 5?

A
41

B
78

C
82

D
None of the these

Solution

LCM of (9,10,15) = 3 × 3 × 10 = 90

∴ The least number that must be subtracted from 2963 which gives remainder 5 when divided by 9,10 and 15 = 83 − 5 = 78
Question 4
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From a pack of 52 cards, 1 card is drawn at random. Find the probability of a face card drawn.

A
4/13

B
1/52

C
1/4

D
None of above

Solution

As given, from a pack of 52 cards, 1 card is drawn at random. Total number of cases, P(B) = 52

Total face cards,

P(A) = 16 [favourable cases]
Question 5
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In △ABC, given below, AB = 8 cm,BC = 10 cm and AC = 6 cm. If a point P lies on AB and Q on AC such that PQ‖BC and PQ = 5 cm, then find AP and AQ respectively.

A
4 cm and 3 cm

B
20 cm and 3 cm

C
15 cm and 10 cm

D
10 cm and 5 cm

Solution
Question 6
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A

B
nⁿ

C
n - 1

D

Solution

Given:
Question 7
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20 men can finish a pieces of work in 64 days. The number of days after which 6 men should leave the work so that the work is finished in 70 days altogether is:

A
50

B
40

C
60

D
30

Solution

Given,

Number of men = 20

Number of days = 64

M₁ D₁= M₂ D₂ + M₃D₃

Let 6 men leave the work after x days.

Therefore,

M₁ = 20, D₁ = 64

M₂= 20, D₂ = x

M₃ = (20 - 6) = 14

D₃ = (70 - x)

Now,

⇒ 20 × 64 = 20 × x + (20 - 6) × (70 - x)

⇒ 1280 = 20x + 14 × (70 - x)

⇒ 1280 - 980 = 6x

300/6 = x

⇒ 50 = x

∴ 6 men left the work after 50 days.
Question 8
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Find the smallest positive integer value of k for which quadratic equation will have distinct real roots?

A
3

B
4

C
1

D
2

Solution
Question 9
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The average of the weights of boys in a class is 69.3 kg and that of girls in the same class is 59.4 kg. If the average of the weight of all the boys and girls in the class is 63.8 kg, then the percentage of the number of girls in the class is:

A

B

C

D

Solution

Given:

The average weight of boys = 69.3 kg

The average weight of girls = 59.4 kg

The average weight of the whole class = 63.8 kg

We know:
Question 10
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The external fencing of a circular path around a circular plot of land is 33m more than its interior fencing. The width of the path around the plotis:

A
5.52m

B
5.25m

C
2.55m

D
225m

Solution