Quantitative Aptitude » Algebra

2×[0.3(1.3+3.7)]** of 0.8 =?**

A)

1.9

B)

0.72

C)

2.16

D)

2.4

Quantitative Aptitude » Trigonometry

If sin (A/2) = x, then the value of x is

A)

√[(1+cos cos A)/2]

B)

√[(1-cos cosA)/2]

C)

√[(1-sin sinA)/2]

D)

√[(1+sin sinA)/2]

Quantitative Aptitude » Number Systems

If 169/(0.169)=(16.9)/x then the value of x is:

A)

0.0169

B)

1.69

C)

16.9

D)

169

Quantitative Aptitude » Average

The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of class X.

A)

53.7

B)

54.4

C)

53

D)

55.8

Quantitative Aptitude » Percentage

A student multiplied a number by 6/7 instead of 7/6. What is the percentage error in the calculation?

A)

36.11

B)

26.53

C)

13.27

D)

18.06

Quantitative Aptitude » Profit & Loss

A shopkeeper by selling 23 Lotto shoes, earns a profit equal to the selling price of 7 Lotto shoes. His profit percentage is:

A)

43.75%

B)

30.4%

C)

60.8%

D)

17.05%

Quantitative Aptitude » Ratio & Proportion

In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

A)

240

B)

480

C)

120

D)

720

Quantitative Aptitude » Simple Interest, Compound Interest

A bank offers 5% compound interest per half year. A customer deposits 3200 each on 1^{st} January and 1^{st} July of a year. At the end of the year, the amount he would have gained by way of interest is:

A)

976

B)

244

C)

488

D)

122

Quantitative Aptitude » Profit & Loss

An item costs ₹400. During a festival sale, a company offers a sale discount that offers x% off on its regular price along with a discount coupon of 10%. The price of the item after using both the sale discount and the discount coupon, is 216. What is the value of x?

A)

25

B)

40

C)

30

D)

35

Quantitative Aptitude » Algebra

if x+y+3=0, then find the value of x^{3}+y^{3}-9xy+9.

A)

18

B)

-18

C)

-36

D)

36

Quantitative Aptitude » Ratio & Proportion

A)

10:9

B)

11:10

C)

5:6

D)

3:2

Quantitative Aptitude » Ratio & Proportion

A)

137:110

B)

110:137

C)

9:11

D)

11:9

Quantitative Aptitude » Ratio & Proportion

The ratio of the monthly incomes of A and B is 11: 13 and the ratio of their expenditures is 9: 11. If both of them manage to save ₹4,000 per month, then find the difference in their incomes (in ₹).

A)

2500

B)

3000

C)

3200

D)

4000

Quantitative Aptitude » Percentage

Some students (only boys and girls) from different schools appeared for an Olympiad exam. 20% of the boys and 15% of the girls failed the exam. The number of boys who passed the exam was 70 more than that of the girls who passed the exam'. A total of 90 students failed. Find the number of students that appeared for the exam.

A)

500

B)

400

C)

350

D)

420

Quantitative Aptitude » Trigonometry

The value of $\frac{\mathrm{sin}23\xb0\mathrm{cos}67\xb0+sec52\xb0\mathrm{sin}38\xb0+\mathrm{cos}23\xb0\mathrm{sin}67\xb0+\mathrm{cos}ec52\xb0\mathrm{cos}38\xb0}{\mathrm{cos}e{c}^{2}20\xb0-{\mathrm{tan}}^{2}70\xb0}$ is :

A)

4

B)

3

C)

2

D)

0

Quantitative Aptitude » Divisibility and Remainder

Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.

A)

239688

B)

238689

C)

239685

D)

237687

Quantitative Aptitude » Trigonometry

If $4{\mathrm{sin}}^{2}\theta =3(1+\mathrm{cos}\theta ),0\xb0<\theta <90\xb0$ , then what is the value of $(2\mathrm{tan}\theta +4\mathrm{sin}\theta -sec\theta )$ ?

A)

$4\sqrt{15}-3$

B)

$15\sqrt{3}+3$

C)

$15\sqrt{3}-4$

D)

$3\sqrt{15}-4$

Quantitative Aptitude » Simplification

Find the value of the following expression:

37256 x 7-5+2

A)

$43\frac{1}{2}$

B)

$2\frac{93}{98}$

C)

58

D)

$-2\frac{95}{98}$

Quantitative Aptitude » Profit & Loss

A sold a mobile phone to B at a gain of 25% and B sold it to C at a loss of 10%. If C paid 5,625 for it, how much did A pay (in ) for the phone?

A)

4800

B)

5000

C)

5100

D)

4500

Quantitative Aptitude » Geometry

The lengths of the three sides of a right-angled triangle are (x-1) cm, (x + 1) cm and (x+3) cm, respectively. The hypotenuse of the right-angled triangle (in cm) is:

A)

10

B)

12

C)

6

D)

7