5555+ Aptitude and Reasoning Questions, Answers With Explanation

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
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10 12047

Q:

A wholesale dealer allows a discount of 20 % on the marked price to the retailer. The retailer sells at 5% below the marked price. If the customer pays Rs.19 for an article, what profit is made by the retailer on it ?

A) Rs. 4	B) Rs. 3
C) Rs. 5	D) Rs. 1

Answer & Explanation Answer: B) Rs. 3

Explanation:

Let wholesaler dealers marked price = 100%, Retailer's C.P = 80%
And the retailer sells at 5% less than the marked price => S.P = 95%
If S.P of 95% of the retailer costs Rs.19 to customer,so its C.P of 80% will cost 80 x 19/95 = 16
Profit made by the retailer = 19-16 = Rs.3

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

11 12045

Q:

Twenty times a positive integer is less than its square by 96. What is the integer ?

A) 42	B) 36
C) 48	D) 24

Answer & Explanation Answer: D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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12 12044

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

Answer & Explanation Answer: C) 322

Explanation:

Clearly, the numbers are (23 x 13) and (23 x 14).

Larger number = (23 x 14) = 322.

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Filed Under: Quantitative Aptitude - Arithmetic Ability

12 12038

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 12035

Q:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

A) 1 : 2 : 3	B) 2 : 3 : 4
C) 3: 4 : 5	D) 4 : 5 : 6

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

Explanation:

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8.

Seats for Mathematics, Physics and Biology in a school are 5x, 7x and 8x.

There is a proposal to increase these seats by 40%, 50% and 75% respectively.

Then Seats for Mathematics, Physics and Biology in a school will be

1.4 X 5x, 1.5 X 7x and 1.75 X 8x and

ratio will be 7 : 10.5 : 14 => 2:3:4.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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21 12034

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
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20 12015

Q:

Which of the following is fifth to the right of the twelth digit from the right end of the below arrangement?

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

A) 3	B) 1
C) 2	D) 7

Answer & Explanation Answer: A) 3

Explanation:

5th to the right of 12th digit from the right end means (12 - 5 = ) 7th digit from the right.ie 3.

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Filed Under: Number, Ranking and Time Sequence Test

13 11997

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Quantitative Aptitude - Arithmetic Ability

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