6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is the ratio whose terms differ by 40 and the measure of which is 2/7 ?

A) 16:56	B) 14:56
C) 15:56	D) 16:72

Answer & Explanation Answer: A) 16:56

Explanation:

Let the ratio be x : (x + 40), then ,

$\frac{x}{x + 40} = \frac{2}{7}$

$\Rightarrow$ 7x = 2x + 80

$\Rightarrow$ x = 16

Required ratio = 16 : 56

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Filed Under: Ratios and Proportions

35 14450

Q:

Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit ?

A) 12,421	B) 9,423
C) 11,600	D) 10,500

Answer & Explanation Answer: D) 10,500

Explanation:

The ratio of their investments:
50000x36 : 80000x30 = 3 : 4
Simran's share of profit = (24500x3/7) = Rs.10,500.

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

5 14427

Q:

If x is a whole number, then x²(x² - 1) is always divisible by ?

A) 4	B) 8
C) 12	D) None

Answer & Explanation Answer: C) 12

Explanation:

we can do this by trial and error method.

Putting x = 2,we get 2²(2² - 1) = 12.
checking with other integers, the above equation always gives a value which is a multiple of 12,
So, x²(x² - 1) is always divisible by 12.

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

14 14417

Q:

A Shopkeeper charges sales tax of x% upto Rs.2,000 and above it he charges y%. A customer pays total tax of Rs 320, when he purchases the goods worth Rs. 6,000 and he pay's the total tax of Rs. 680 for the goods worth Rs. 12,000. The value of (x-y) is:

A) 0	B) -2
C) -4	D) 5

Answer & Explanation Answer: B) -2

Explanation:

$2000 x \frac{X}{100} + 4000 x \frac{Y}{100} = 320$

and $2000 x \frac{X}{100} + 10000 x \frac{Y}{100} = 680$

x = 4 and y = 6

x-y = -2

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

14 14396

Q:

Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh’s present age ?

A) 17 years	B) 13 years
C) 14 years	D) 16 years

Answer & Explanation Answer: B) 13 years

Explanation:

Given R + S + M + D = 76

=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8

=> Let the ratio = x

=> M+7 = 5x

=> M = 5x-7

=> R = 7x-7

=> S = 6x-7

=> D = 8x-7

=> R + S + M + D = 76

=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76

=> 26x - 28 = 76

=> 26x = 104

=> x = 4

=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.

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

23 14361

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 14347

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 14338

Q:

Two bike riders ride in opposite directions around a circular track, starting at the same time from the same point. Biker A rides at a speed of 16 kmph and biker B rides at a speed of 14 kmph. If the track has a diameter of 40 km, after how much time (in hours) will the two bikers meet?

A) 6.52	B) 8.14
C) 4.18	D) 5.02

Answer & Explanation Answer: C) 4.18

Explanation:

Distance to be covered = $πD$ = $40 π$ km

Relative speed of bikers = 16 + 14 = 30 kmph.

Now, $t i m e = \frac{d i s \tan c e}{s p e e d}$ = $\frac{40 π}{30}$ = 4.18 hrs.

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Filed Under: Time and Distance
Exam Prep: CAT
Job Role: Bank Clerk

21 14336

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