Top 100 Maths questions With Solution for All Exam ( JEE, SSC, Railway, Police Exam)

1.   The product of 2 numbers is 1575 and their quotient is 9/7. Then the sum of the numbers is –

a.   74

b.   78

c.   80

d.   90

We know   xy = 1575

And  x/y = 9/7

We know   xy/x/y = 1575/9/7

We know    y2  = 1225

We know  y = 35 and x = 45

We know   The sum of the numbers = 45+35

= 80

 

2.   The value of (81)3.6 * (9)2.7/ (81)4.2 * (3) is __

a.   3

b.   6

c.   9

d.   8.2

= 314.4+5.4-16.8-1

= 32

= 9

 

3.  √6+√6+√6+… is equal to –

a. 2
b. 5
c. 4
d. 3

4.   The sum of the squares of two natural consecutive odd numbers is 394. The sum of the numbers is –

a.   24

b.   32

c.   40

d.   28

We know that x2 + (x + 2)2 = 394

We know   x2 + x2 + 4x + 4 = 394

We know   2 x2 +4x – 390 = 0

We know   x2 + 2x – 195 = 0

We know  (x +15) (x-13) = 0

We know   x = 13

We know    Required sum = 13 +15 =28

 

5.   When (6767 +67) is divided by 68, the remainder is-

a.   1

b.   63

c.   66

d.   67

As 66 is an even number

We know   6766 is an even number

We know   (6766 + 1) is perfectly divisible by (67 + 1)

i.e. 68

We know   The remainder = 66

 

6.   In a division sum, the divisor is 4 times the quotient and twice the remainder. If a and b are respectively the divisor and the dividend then-

a.   4b-a2 /a  =3

b.   4b-2a /a2 =2

c.   (a+1)2 = 4b

d.   A(a+2)/b = 4

We know    Quotient = a/4

And Remainder = a/2

We know    b = a * a/4 + a/2

We know    4b = a2 + 2a

We know    a(a+2)/b = 4

 

7.   If 738 A6A is divisible by 11, then the value of A is-

a.   6

b.   3

c.   9

d.   1

We know    A + A + 3 = 6 + 8 + 7

We know    A = 9

8.   The east positive integer that should be subtracted from 3011 * 3012 so that the difference is perfect square is-

a.   3009

b.   3010

c.   3011

d.   3012

= (3011)2 + 3011

We know    Required least number = 3011

 

9.   P, Q, R are employed to do a work for Rs. 5750. P and Q together finished 19/23 of work and Q and R together finished 8/23 of work. Wage of Q, in rupees, is-

a.   2850

b.   3750

c.   2750

d.   1000

4/23

We know   Wage of Q = 4/23 * 5750

= Rs. 1000

 

10.  A can do a piece of work in 24 day, B in 32 days and C in 64 days. All begin to do it together, but A leaves after 6 days and B leaves 6 days before the completion of the work. How many days did the work last?

a.   15

b.   20

c.   18

d.   30

Work done by B = (x-6)/32
(where x is no. of days in which work is competed)

We know that ¼ + x – 6/32 + x/64 = 1
We know 16 + 24 – 12 + x /64 = 1
We know 3x + 4 = 64
We know x = 60/3 = 20 days

 

Important Maths questions for SSC CGL Exam

11.  The square root of (0.75)3 /1-0.75 + [0.75 + 90.75)2 +1] is-

a.   1

b.   2

c.   3

d.   4

Ans : The square root of
[(0.75)3/1 – 0.75 + {0.75 + (0.75)2 + 1}]
= √1.6875 + 2.3125
=√4
= 2

 

12.  Given that √4096 = 64, the value of √4096 + √40.96 +√0.004096 is-

a. 70.4
b. 70.464
c. 71.104
d. 71.4

Ans : Given Exp. = √4096 + √40.96 +√0.004096
= 64 + 6.4 + 0.064
= 70.464

13.  By selling an article at 3/4th of the marked price, there is a gain of 25%. The ratio of the marked price and the cost price is-

a.   5 : 3

b.   3 : 5

c.   3 : 4

d.   4 : 3

We know  S.P. = Rs.3x/4

and C.P. = 3x/4 * 100/125

= Rs.3x/5

We know  required ratio = x: 3x/5

= 5:3

 

14.  A and B earn in the ratio 2:1. They spend in the ratio 5:3 and save in the ratio 4:1. If the total monthly savings of both A and B are Rs.5,000, the monthly income of B is-

a.   Rs.7,000

b.   Rs.14,000

c.   Rs.5,000

d.   Rs.10,000

We know   Monthly income of A = Rs. 2x and

Saving of A =5000 * 4/(4 + 1)

= Rs. 4000

Saving of B = Rs.1000

We know that 2x – 4000/x-1000 = 5/3

=>  6x – 12000 = 5x – 5000

We know   x = Rs.7000

 

15.  The ratio of the sum of two numbers and their difference is 5:1. The ratio of the greater number to the smaller number is-

a.   2 : 3

b.   3 : 2

c.   5 : 1

d.   1 : 5

We know that x + y/ x – y = 5/1

=>  5x – 5y = x + y

=>  4x = 6y

=>  x/y = 6/4

x : y = 3 : 2

 

16.  A cistern has 3 pipes A, B and C. A and B can fill it in 3 and 4 hours respectively, and C can empty it in 1 hour. If the pipes are opened at 3 p.m., 4 p.m. and 5 p.m. respectively on the same day, the cistern will be empty at-

a.   7.12 p.m.

b.   7.15 p.m.

c.   7.10 p.m.

d.   7.18 p.m.

We know that x -3/3 + x – 4/4 = x – 5/1

=>  4x – 12 + 3x – 12/12 = x – 5/1

=>  7x – 24 = 12x – 60

=>  5x = 36

We know   x = 36/5

= 7 hr. + 12 min.

= 7.12 p.m.

 

17.  If A works alone, he would take 4 days more to complete the job than if both A and B worked together. If B worked alone, he would take 16 days more to complete the job than if A and B work together. How many days would they take to complete the work if both of them worked together?

a.   10 days

b.   12 days

c.   6 days

d.   8 days

Let x days are taken when they work together.

We know   Time taken by A to complete the work = (x + 4) days

And Time taken by B to complete the work = (x + 16) days

We know that 1/x = 1/x + 4 + 1/x + 16

We know   1/x = x + 16 + x + 4/(x + 4) (x +16)

We know   2×2 + 20x = x2 + 20x +64

We know   x2 = 64 (8)2

We know   x = 8 days

 

18.  250 men can finish a work in 20 days working 5 hours a day. To finish the work within 10 days working 8 hours a day, the minimum number of men required is-

a.   310

b.   300

c.   313

d.   312

=312.5

313

 

19.  2 men and 5 women can do a work in 12 days. 5 men 2 women can do that work in 9 days. Only 3 women can finish the same work in-

a.   36 days

b.   21 days

c.   30 days

d.   42 days

We know that (2m + 5w) * 12 = (5m + 2w) * 9

=>  24m + 60w = 45m + 18w

=>  21m = 42w

=>  1m = 2w

We know   2m + 5w = 9w

We know   required no. of days = 9 * 12/3

= 36

 

20.  While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, profit per cent will be –

a.   10%

b.   20%

c.   16 2/3%

d.   16 1/3%

Ans .  C

 

Important Maths questions for SSC CGL Exam

Q.21 A fruit vendor gives 2 successive discounts of 10% and 14%. What is the overall discount given?

(A) 22.4%

(B) 22.6%

(C) 23.4%

(D) 23.5%

Ans .  B

 

Q.22 The total sales of a company amounts to Rs. 24 crores and the volume sold is 20000 units. What is the average price/unit?

(A) Rs. 1000

(B) Rs. 1200

(C) Rs. 120

(D) Rs. 12000

 

Q.23 Six friends have an average height of 167 cm. Rahul with height 162 cm leaves. What is the new average height?

(A) 166 cm

(B) 167 cm

(C) 168 cm

(D) 169 cm

 

Q.24 Average production of a farm was 1500 tons in the months Jan-March. If April with 1200 tones is included. What will be the new average from Jan-April?

(A) 1500

(B) 1600

(C) 1700

(D) 1425

 

Q.25 Sheila purchase 20 kg apples at Rs. 15 kg and another 10 kg apples at Rs. 20 kg. What is the average cost/kg?

(A) Rs. 15.33/kg

(B) Rs. 16.67/kg

(C) Rs. 17.27/kg

(D) Rs. 18/kg

 

Q.26 1 kg of tea and 1 kg of sugar together cost Rs. 95. If the price of tea falls by 10% and that of sugar rises by 20% the price of 1 kg each, combined comes to Rs. 90. The original price of tea in Rs. Per kg is…..

(A) Rs. 72

(B) Rs. 55

(C) Rs. 60

(D) Rs. 80

Ans .  D

 

Q.27 Madhu got married 6 years ago. Today her age is 1 ¼ times her age at the time of marriage. Her son’s age is 1/10 her age. Her son’s age is…..

(A) 3 years

(B) 2.5 years

(C) 2 years

(D) 4 years

 

Q.28 In a village the current birth rate per thousand is 55 whereas corresponding death rate is 34 per thousand. The net growth rate in term of population increase will be…..

(A) 0.021%

(B) 0.0021%

(C) 21%

(D) 2.1%

 

Q.29 A sum of money doubles itself at compound interest in 15 years. In how many years it will become eight times?

(A) 30

(B) 45

(C) 50

(D) 60

Ans .  B

 

Q.30 A man buys 6 dozen eggs for Rs. 10.80. 12 eggs are found to be rotten and the rest are sold at 5 for Rs. 1. Find his % gain or % loss.

(A) gain of 11.11%

(B) loss of 11.11%

(C) gain of 11.9%

(D) loss of 11.9%

Ans .  A