Mathematics Questions and Answers


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Mathematics » Algebra

2×[0.3(1.3+3.7)] of 0.8 =?

A

1.9

B

0.72

C

2.16

D

2.4

Mathematics » 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] 

Mathematics » 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

Mathematics » 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

Mathematics » 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

Mathematics » 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%

Mathematics » 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

Mathematics » Simple Interest, Compound Interest

A bank offers 5% compound interest per half year. A customer deposits 3200 each on 1st January and 1st 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

Mathematics » 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

Mathematics » Algebra

if x+y+3=0, then find the value of x3+y3-9xy+9.

A

18

B

-18

C

-36

D

36

Mathematics » Ratio & Proportion

A

10:9

B

11:10

C

5:6

D

3:2

Mathematics » Ratio & Proportion

A

137:110

B

110:137

C

9:11

D

11:9

Mathematics » 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

Mathematics » 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

Mathematics » Trigonometry

The value of sin23°cos67°+sec52°sin38°+cos23°sin67°+cosec52°cos38°cosec220°-tan270° is :

A

4

B

3

C

2

D

0

Mathematics » 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

Mathematics » Trigonometry

If 4sin2θ=3(1+cosθ),0°<θ<90° , then what is the value of (2tanθ+4sinθ-secθ) ?

A

415-3

B

153+3

C

153-4

D

315-4

Mathematics » Simplification

Find the value of the following expression:

37256 x 7-5+2

A

4312

B

29398

C

58

D

-29598

Mathematics » 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

Mathematics » 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