5555+ Aptitude and Reasoning Questions, Answers With Explanation

Q:

Study the pie - chart carefully to answer the questions below :

The Pie chart shows the percentage quantity of fruits at two fruit shops A and B

1. What is the difference between the quantity of Guava at Shop B and that at Shop A ?

1. 40 Kg 2. 45 kg 3. 35 kg 4. 30 kg 5. 50 kg

2. If the price of Mango is Rs. 30 per kg, Apple Rs.40 per kg and orange Rs.20 per kg, then what is the ratio of their costs at Shop A?

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

3. The quantity of Mango at Shop B is what per cent of the quantity of Mango at Shop A ?

1. 20% 2. 220% 3. 120% 4. 80% 5. 180%

4. If the price of Mango is Rs.30 per kg, Apple Rs. 40 per kg, orange Rs.20 per kg, Other fruits Rs.15 per kg and Guava Rs. 18 per kg for both Shop A and B, then what is the difference between the cost of all fruits at Shop A and that at Shop B ?

1. Rs.7200 2. Rs.3500 3. Rs. 6400 4. Rs.5100 5. Rs.4600

5. The quantity of Orange at Shop A is what percent more than that of Apple at Shop B ?

1. 161.52% 2. 195.5% 3. 182% 4. 190% 5. 171.42%

Answer

1. Answer : 1

Explanation : Quantity of Guava at Shop A = $1200 \times \frac{10}{100}$ = 120 kg

Quantity of Guava at Shop B = $1000 \times \frac{16}{100}$ = 160 kg

Therefore, Required difference = 160 - 120 = 40 kg

2. Answer : 2

Explanation : Cost of Mango at Shop A = $30 \times 1200 \times \frac{24}{100}$ = Rs. 8640

Cost of Apple = $40 \times 1200 \times \frac{16}{100}$ = Rs. 7680

Cost of Orange = $20 \times 1200 \times \frac{20}{100}$ = Rs.4800

Therefore, Required Ratio = 8640 : 6780 : 4800 = 9 : 8 : 5

3. Answer : 3

Explanation : Quantity of Mango at Shop B = $1000 \times \frac{24}{100}$ = 240 kg

Quantity of Mango at Shop A = $1200 \times \frac{24}{100}$ = 288 kg

Therefore, Req % = $288 \times \frac{100}{240}$ = 120% of the quantity of Mango at Shop A

4. Answer : 4

Explanation : Cost of total fruits at Shop A = Cost of Mango + Cost of Apple + Cost of Guava + Cost of orange + Cost of other fruits

= $1200 \times \frac{24}{100} \times 30 + 1200 \times \frac{16}{100} \times 40 + 1200 \times \frac{10}{100} \times 18 + 1200 \times \frac{20}{100} \times 20 + 1200 \times \frac{30}{100} \times 15$

= Rs. 28680

Cost of Total Fruits at Shop B

= $1000 \times \frac{24}{100} \times 30 + 1000 \times \frac{14}{100} \times 40 + 1000 \times \frac{16}{100} \times 18 + 1000 \times \frac{20}{100} \times 20 + 1000 \times \frac{26}{100} \times 15$

= 7200 + 5600 + 2880 + 4000 + 3900

= Rs. 23580

Therefore, Req.difference = 28680 - 23580 = Rs.5100

5. Answer : 5

Explanation: Quantity of Orange at Shop A = $1200 \times \frac{20}{100}$ = 240 kg

Quantity of Apple at Shop B = $1000 \times \frac{14}{100}$ = 140 kg

Therefore, Req % = $\frac{240 \times 100}{140}$ = 171.42% more than the quantity of Apple at Shop B.

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Subject: Pie Charts

15 12159

Q:

In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?

A) 4/7	B) 2/3
C) 1/2	D) 5/6

Answer & Explanation Answer: B) 2/3

Explanation:

Total coins 30

In that,

1 rupee coins 20

50 paise coins 10

Probability of total 1 rupee coins = 20C11

Probability that 11 coins are picked = 30C11

Required probability of a coin now picked from the box is 1 rupee = 20C11/30C11 = 2/3.

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Filed Under: Probability
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

17 12155

Q:

If y/(x - z) = (y + x)/z = x/y then find z : y : x ?

A) 1:2:3	B) 3:2:4
C) 4:3:2	D) 2:3:4

Answer & Explanation Answer: B) 3:2:4

Explanation:

Given, y/(x - z) = (y + x)/z = x/y
$y z = x y + x^{2} - y z - x z . . . . (1)$
Also $\frac{x}{y} = \frac{y}{x - z}$ $\Rightarrow x^{2} - x z = y^{2} . . . . (2)$
Using (1) and (2), we get yz = xy - yz + $y^{2}$
2yz = xy + $y^{2}$
2z = x + y
Only option (B) satisfies the equation.

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Filed Under: Ratios and Proportions
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: IT Trainer , Bank PO , Bank Clerk , Analyst

20 12152

Q:

If two painters can complete two rooms in two hours, how many painters would it take to do 18 rooms in 6 hours?

A) 2 painters	B) 6 painters
C) 4 painters	D) None

Answer & Explanation Answer: B) 6 painters

Explanation:

Two painters can complete two rooms in two hours.So 18 rooms can be painted in 6 hrs by 6 painters

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Filed Under: Problems on Numbers

3 12147

Q:

Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ?

A) 9 hrs	B) 7 hrs
C) 13 hrs	D) 11 hrs

Answer & Explanation Answer: B) 7 hrs

Explanation:

Given,

P can fill in 12 hrs

Q can fill in 15 hrs

R can fill in 20 hrs

=> Volume of tank = LCM of 12, 15, 20 = 60 lit

=> P alone can fill the tank in 60/12 = 5 hrs

=> Q alone can fill the tank in 60/15 = 4 hrs

=> R alone can fill the tank in 60/20 = 3 hrs

Tank can be filled in the way that

(P+Q) + (P+R) + (P+Q) + (P+R) + ....

=> Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit

=> In 6 hrs = 17 x 6/2 = 51 lit

=> In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit

=> So, total tank will be filled in 7 hrs.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 12135

Q:

Train K crosses a stationary Train L in 50 seconds and a pole in 20 seconds with the same speed. The length of the Train K is 240 meters. What is the length of stationary Train L ?

A) 60 mts	B) 120 mts
C) 240 mts	D) 360 mts

Answer & Explanation Answer: D) 360 mts

Explanation:

Speed of the Train K is given by s = d/t = 240/20 = 12 m/s
Distance covered by Train K in 50 seconds = 12 x 50 = 600 mts.
But it crosses Train L in 50 seconds
Therefore, the length of the Train L is = 600 - 240 = 360 mts.

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

10 12135

Q:

The base of a triangle of 15cm and height is 12cm. The height of another triangle of double the area having the base 20cm is

A) 16	B) 17
C) 18	D) 20

Answer & Explanation Answer: C) 18

Explanation:

a = $\frac{1}{2} \times 15 \times 12$ = 90 sq.cm

b = 2a = $\frac{1}{2} \times 20 \times h$

h= 18cm

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

4 12125

Q:

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

A) 276	B) 299
C) 322	D) 345

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