6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A merchant buys two items for Rs. 7500. One item he sells at a profit of 16% and the other item at 14% loss. In the deal, the merchant makes neither any profit nor any loss. What is the difference between the selling price of both the items?

A) Rs. 620	B) Rs. 654
C) Rs. 725	D) Rs. 747

Answer & Explanation Answer: A) Rs. 620

Explanation:

Let the C.P of one item is Rs. P
and that of other is Rs. (7500 - P)

According to the data given
C.P = S.P
=> Px(116/100) + (7500-P)x(86/100) = 7500
=> 30P = 105000
=> P = 3500

Required difference between selling prices
= Rs. [(3500/100) x 116] - [(4000/100) x 86]
= 4060-3440
= Rs. 620

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

15 14418

Q:

Kaushalya can do a work in 20 days, while kaikeyi can do the same work in 25 days. They started the work jointly.Few days later Sumitra also joined them and thus all of them completed the whole work in 10 days. All of them were paid total Rs.700. What is the Share of Sumitra?

A) Rs.130	B) Rs.185
C) Rs.70	D) can't be determined

Answer & Explanation Answer: C) Rs.70

Explanation:

Efficiency of kaushalya = 5%

Efficiency of kaikeyi = 4%

Thus, in 10 days working together they will complete only 90% of the work.

[(5+4)*10] =90

Hence, the remaining work will surely done by sumitra, which is 10%.

Thus, sumitra will get 10% of Rs. 700, which is Rs.70

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Filed Under: Time and Work

12 14411

Q:

Two pipes A and B can fill a cistern in 4 minutes and 6 minutes respectively . If these pipes are turned on alternately for 1 minute each how long will it take to the cistern to fill?

Answer

As the pipes are operating alternatively, thus their 2 minutes job is = $\frac{1}{4} + \frac{1}{6} = \frac{5}{12}$

In the next 2 minutes the pipes can fill another $\frac{5}{12}$ part of cistern.

Therefore, In 4 minutes the two pipes which are operating alternatively will fill $\frac{5}{12} + \frac{5}{12} = \frac{5}{6}$ Remaining part = $1 - \frac{5}{6} = \frac{1}{6}$

Pipe A can fill $\frac{1}{4}$ of the cistern in 1 minute

Pipe A can fill $\frac{1}{6}$ of the cistern in = $\frac{2}{3}$ min

Therefore, Total time taken to fill the Cistern

4 + $\frac{2}{3}$ minutes.

Workspace

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Subject: Time and Work Exam Prep: CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

28 14410

Q:

4.036 divided by 0.04 gives

A) 1.009	B) 10.09
C) 100.9	D) None of these

Answer & Explanation Answer: C) 100.9

Explanation:

4.036/0.04 = 4036/40 = 100.9

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Filed Under: Decimal Fractions

16 14401

Q:

The ratio of students in a coaching preparing for B.tech and MBA is 4 : 5. The ratio of fees collected from each of B.tech and MBA students is 25 : 16. If the total amount collected from all the students is 1.62 lakh, what is the total amount collected from omly MBA aspirants?

A) Rs. 62,000	B) Rs. 72,000
C) Rs. 82,000	D) None of these

Answer & Explanation Answer: B) Rs. 72,000

Explanation:

The ratio of fees collected from B.Tech : MBA = 4x * 25y : 5x * 16y

= 100xy : 80xy

= 5xy : 4 xy = 5k : 4k

The amount collected only from MBA students = $\frac{4}{9} \times 1.62 l a k h$ = Rs. 72,000

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Filed Under: Ratios and Proportions

18 14399

Q:

The variance of a set of data is 169. Then the standard deviation of the data is

A) +-13	B) 13
C) 69	D) 84.5

Answer & Explanation Answer: B) 13

Explanation:

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Filed Under: Probability
Exam Prep: Bank Exams

6 14395

Q:

The greatest possible length which can be used to measure exactly the length 7m, 3m 85cm, 12 m 95 cm is

A) 15 cm	B) 25 cm
C) 35 cm	D) 42 cm

Answer & Explanation Answer: C) 35 cm

Explanation:

Required Length = H.C.F of 700 cm, 385 cm and 1295 c

= 35 cm.

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Filed Under: HCF and LCM

28 14393

Q:

A number, when 35 is subtracted from it, reduces to its 80 percent. What is four - fifth of that number ?

A) 175	B) 140
C) 135	D) 95

Answer & Explanation Answer: B) 140

Explanation:

x - 35 = 80x/100

=> x = 175

=> 4x/5 = 4x175/5 = 140.

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

18 14348

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