# 100+ Important Maths Questions for NDA 2 2022 Exam

## 100+ Important Maths Questions for NDA 2 2022 Exam

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Today we are sharing an important pdf in hindi 100+ Important Maths Questions for NDA 2 2022 Exam NDA Maths Questions: Get the complete list of topic-wise NDA Mathematics Questions with answers PDF for the upcoming exam preparation here. Mathematics is an important paper in the NDA exam consisting of 300 questions in total carrying a maximum of 900 marks. Candidates need to have an excellent command of Mathematics in order to qualify the exam. So in order to help students with exam preparation, we are providing you with important NDA Maths questions PDF in English and Hindi which will be helpful in the upcoming exam which is all set to be held on 04 September 2022.

A total of 120 questions are asked in the NDA mathematics paper.100+ Important Maths Questions for NDA 2 2022 Exam  In this article we are sharing 100+ important NDA Maths questions of calculus, Trigonometry, Probability, Co-ordinate geometry, matrices & determinants, etc. Download NDA Maths questions PDF in English and Hindi from the links provided below.

UPSC NDA 2021 Mock Test Mathematics (300 Marks)100+ Important Maths Questions for NDA 2 2022 Exam: UPSC NDA & NA 1 2021 Exam will be conducted on 18th April 2021. The written exam of UPSC NDA 2021 Recruitment will consist of two papers, i.e., General Ability Test (GAT) & Mathematics. The Mathematics Section of the Written Exam will consist of 120 Questions of total 300 Marks. To score high marks in UPSC NDA & NA (1) 2021 Exam candidates must start practicing the mock tests for the Mathematics Section of the exam

Topic Related Posts

### Topics

1. Number sets
2. Differential Equations
3. Algebra
4. Analytic Geometry
5. Differential calculus
6. Integral Calculus
7. Geometry
8. Trigonometry
9. Matrix and determinant
10. Vectors
11. Series

Important Maths questions

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

Ans : Let the numbers be x and y .

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

Ans : (81)3.6 * (9)2.7/(81)4.2 * (3) = (3)14.4 * (3)5.4/(3)16.8 * (3)

= 314.4+5.4-16.8-1

= 32

= 9

3.  √6+√6+√6+… is equal to –

a. 2

b. 5

c. 4

d. 3

Ans : Let √6+√6+√6+…. be x.

We know x =√6+x

We know x2 = 6+x

We know x2 – x – 6 = 0

We know (x-3) (x+2) = 0

We know x = 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

Ans : Let the consecutive odd numbers be x and (x+2)

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

Ans:  (6767+ 67) = 67(6766 + 166)

Important Maths questions

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

Ans : As  divisor is a, and dividend is b.

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

Ans :  As 738A6 A is divisible by 11.

We know    A + A + 3 = 6 + 8 + 7

We know    A = 9

Important Maths questions

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

Ans :  We know that 3011 * 3012 = 3011 (3011 + 1)

= (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

Ans :  Work done by Q = 19/23 + 8/23 – 1

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

Ans : Work done by A = 6/24 = ¼

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

Q :  If the differernce between the reciprocal of a positive proper fraction and fraction itself be, then the fraction is:

(A)

(B)

(C)

(D)

Q :  The average weight of 10 parcels is 1.7 kg. The average weight is reduced by 60 grams when a new parcel is added. How much is the weight of the new parcel?

(A) 1.04

(B) 1.08

(C) 1.4

(D) 1.8

Q :  The average expenditure of a man for the first five months of a year is Rs. 5,000 and for the next seven months is Rs. 2,300 during a year. His average monthly expenditure is :

(A) Rs. 3,425

(B) Rs. 5,600

(C) Rs. 5,000

(D) Rs. 5,446

Q :  Three friends Naimish, Ranveer and Arjun together started a business by investing Rs.250, Rs. 400 and Rs. 300 respectively. After 4 months Naimish invested Rs. 150 more and after 6 months Ranveer withdraw Rs. 100. While after 8 months Arjun invested Rs. 200 more. At the end of the year, a profit of Rs. 1280 is obtained. Find the share of Ranveer?

(A) Rs. 360

(B) Rs. 395

(C) Rs. 380

(D) Rs. 420

(E) Rs. 440

Q :  A and B started a boutique investing amounts of ₹ 35,000 and ₹ 56, 000 respectively. If A ‘ s share in the profit earned by them is ₹ 45, 000 then what is – the total profit earned?

(A) ₹ 81,000

(B) ₹ 1,27,000

(C) ₹ 72,000

(D) ₹ 1,17, 000

Q :  From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

(A)

(B)

(C)

(D)

(E) None of these

Q :  There are some coins and rings of either gold or silver in a box. 60% of the objects are coins, 40% of the rings are of gold and 30% of the coins are silver. What is the percentage of gold articles?

(A) 58

(B) 27

(C) 16

(D) 70

Important Maths questions

Q :  Rahim bought a T.V. with 20% discount on list price. Had he bought it with 25% discount he would have saved ₹ 500. At what price did he buy the T.V?

(A) ₹ 10,000

(B) ₹ 8,000

(C) ₹ 16,000

(D) ₹ 12,000

Q :  A shopkeeper marks the price of an item keeping 20% profit. If he offers a discount of

on the marked price, his gain percent will be

(A) 7.5%

(B) 8%

(C) 4.5%

(D) 5%

Q :  A certain number when divided by 175 leaves a remainder 132. When the same number is divided by 25, the remainder is:

(A) 6

(B) 7

(C) 8

(D) 9

Q :  Product of digits of a 2-digit number is 27. If we add  54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

(A) 42

(B) 93

(C) 63

(D) 39

Q :  If p=99, then the value of p(p2+3p+3) will be

(A) 1000001

(B) 999998

(C) 999999

(D) 1000000

Q :  If x+y=10 and xy=4, then what is the value of x4+y4=?

(A) 8432

(B) 8464

(C) 7478

(D) 6218

Q :  Find the distance travelled by a 40 cm diameter wheel to cover a distance of 176 meters? Using (π=22/7)

(A) 140

(B) 150

(C) 160

(D) 166