# mathematics questions and answers pdf

## Mathematics Questions and Answers PDF

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### Math Questions and Answers in Hindi for Competitive Exams

1.If compound interest on a certain sum of money at 5% per annum for 2 years is Rs. 246. The simple interest on the same sum for 4 years at 8% per annum is :
A
Rs. 786
B
Rs. 768
C
Rs. 815
D
Rs. 840

Correct Option: B
C.I. = P [ ( 1 + x ) n – 1 ]
100
246 = P [ ( 1 + 5 ) 2 – 1 ]
100
246 = P [ ( 105 ) 2 – 1 ]
100
246 = P [ ( 21 ) 2 – 1 ]
20
P = 2400

So, SI on Rs. 2400 for 4 years at 8% S.I.
⇒ S.I. = 2400 × 4 × 8
100
= 24 × 32 = 768

Hence, option B is correct.

2.Men, women and children are employed to do a piece of work in proportion of 2, 3 and 5 days & their daily wages are in ratio of 2 : 2 : 8. When 100 men are employed, total daily wages of all the persons amount to Rs. 1000. Find monthly wages of the men in the April month of the year.
A
Rs. 48
B
Rs. 28
C
Rs. 100
D
Rs. 72

Correct Option: A
Given, M : W : C = 2 : 3 : 5,

But no.of Men = 100

It implies the number of women = 50 × 3 = 150 & the number of children= 5 × 50 = 250

Ratio of wages = 2 : 2 : 8

Total wages received by all = (100 × 2) + (150 × 2) + (250 × 8) = 2500

Now, if total wages are Rs. 2500, a man gets Rs. 4, if total wages are 1000,

Daily wages of a man = 4 × 1000 = 8
2500 5
Therefore, monthly wages of men in April which has 30 days
= 8 × 30 = Rs.48
5
Hence, option (A) is correct.

3.P and Q together have 3 times what Q and R have, while P, Q and R together have thirty rupees more than P. If Q has 5 times what R has then what amount does P have :
A
Rs. 45
B
Rs. 55
C
Rs. 65
D
Rs. 75

Correct Option: C
P + Q = 3 (Q + R) ………………(i)

P + Q + R = 30 + P

so, Q + R = 30 ……………(ii)

Putting (ii) in eq. (i)

P + Q = 3 (30)

P + Q = 90 ………………….(iii)

Q + R = 30

as, Q = 5R

so, 5R + R = 30

6R = 30

R = 5 ……………(A)

putting in eq. (ii)

Q + 5 = 30

Q = 25 ………….(B)

P + Q = 90

P + 25 = 90

P = 90 – 25 = 65

Hence, option C is correct.

4.Neha is late by 9 minutes if she rides her cycle at a speed of 4 km/hour. If she rides at 5 km/hour, she arrives 9 min early. Find the distance.
A
6 km
B
8 km
C
10 km
D
12 km

Correct Option: A
We know that

Time = Distance
Speed
Let the distance be x km.

Difference in time = Difference in time

x – x = 18
4 5 60
5x – 4x = 3
20 10
⇒ x = 3 × 20 ⇒ 6 km
10
Hence, option A is correct.

### Important Maths Questions And Answers:-

5.Average age of 6 boys is 12 years. The average age of 4 other boys is 18 years. Find the average age of all 10 boys.
A
12 years
B
14.4 years
C
15.16 years
D
13 years

Correct Option: B
Average age of 6 boys = 12 years

so, total age of 6 boys = 12 × 6 = 72 years

Average age of 4 boys = 18 years

so, total age of 4 boys = 72 years

Total age of 10 boys = 72 + 72 = 144

So, average age of 10 boys = 14.4 years

Hence, option B is correct.

6.If cost price of 15 bottles is equal to the selling price of 20 bottles, find the profit or loss percentage.
A
Profit 25%
B
Loss 20%
C
Profit 20%
D
Loss 25%

Correct Option: D
Let the C.P. of 1 bottle = Re.1.

so, the C.P. of 15 bottles = Rs.15

& C.P. of 20 bottles = Rs. 20

But, we know,

C.P. of 15 bottles = S.P. of 20 bottles = Rs.15

So, S.P. of 20 bottles = 15 Rs.

C.P. of 20 bottles = 20 Rs.

Hence, the seller faces loss,

Now loss % = 20 – 15 × 100
20
= 5 × 100
20= 25%

Hence, option D is correct.

7.A bucket contained a mixture of two liquids P and Q in the ratio of 4 : 1. When 10 litres of the mixture is taken out and 10 litres of the liquid Q was added to the bucket, Ratio becomes 2 : 3. Find the initial quantity of Q.
A
6 litres
B
5 litres
C
4 litres
D
7 litres

Correct Option: C
Let initial quantites of P and Q be 4x & x.

P = 4x
Q xIn 10 litres of mixture, quantity of liquid P = 4/5 x 10 = 8, therefore quantity of liquid Q = 2

When 10 litres of mixture taken out & 10 litres liquid Q is added, we get
P = 4x – 8 = 2
Q x – 2 + 10 3
⇒ 12x – 24 = 2x + 16

⇒ 10x = 24 + 16

x = 40 = 4 litres
10
So, the initial quantity of liquid Q was = 1x = 4 litres

Hence, option C is correct.

8.A train 420 m long is running with a speed of 36 km/h. In what time will it cross a telephone pole?
A
42 s
B
24 s
C
36 s
D
18 s

Correct Option: A
Length of the pole is negligible when a train crosses it. While crossing the pole, the distance thus covered is the length of the train itself.

We know that,

Time = distance
speed
Given speed = 36 × 5 = 10 m/s
18
Time taken = 420 = 42 sec
10
∴ It takes 42 seconds for the train to cross the telephone pole

Hence, option (A) is correct.

#### Important Maths Questions And Answers:-

9.Four children entered into a partnership. A puts Rs. 15 for 4 months, B puts Rs. 12 for 2 months, C puts Rs. 18 for 6 months and D puts Rs. 16 for 5 months. If profit at the end of year is Rs. 1020, what is A’s share of profit?
A
Rs. 336
B
Rs. 248
C
Rs. 460
D
Rs. 225

Correct Option: D
Ratio of share of profit for A, B, C and D is given by

A : B : C : D = (15 x 4) : (12 x 2) : (18 x 6) : (16 x 5)

= 60 : 24 : 108 : 80

= 15 : 6 : 27 : 20

⇒ A’s share of profit = 15 × 1020
68= Rs. 225 Hence, option D is correct.

10.The ratio between the present ages of A and B is 9:10. After 8 years the ratio of their ages will become 11:12. Find the present age of A.
A
44 years
B
40 years
C
48 years
D
36 years

Correct Option: D
A’s age = 9x, B’s age = 10x

After 8 years,

9x + 8 : 10x + 8 = 11 : 12

12 (9x + 8) : 11 (10x + 8)

108x +96 = 110x + 88

110x – 108x = 96 – 88

2x = 8

x = 4

A’s present age = 4 × 9 = 36

Hence, option D is correct.

#### GK Questions in Hindi

1. प्रश्न संख्या 31. “नर्मदा बचाओ” आंदोलन के संस्थापक कौन है ?
उत्तर:- मेधा पाटकर
2. प्रश्न संख्या 32.भारत और नेपाल के मध्य कौन सी नदी सीमा बनाती है ?
उत्तर:- काली नदी
3. प्रश्न संख्या 33. गूगल है एक ?
उत्तर:- सर्च इंजन
4. प्रश्न संख्या 34. इंटरनेट एक्सप्लोरर है एक ?
उत्तर:- वेब ब्राउज़र
5. प्रश्न संख्या 35. भारत में मुद्रा योजना की शुरुआत ?
उत्तर:- 8 अप्रैल 2015
6. प्रश्न संख्या 36. प्रधानमंत्री उज्ज्वला योजना की कुल बजट राशि कितनी है ?
उत्तर:- 8000 करोड़
7. प्रश्न संख्या 37.निम्नलिखित में मांसपेशीय प्रोटीन है ?
उत्तर:-
विवरण:-
8. प्रश्न संख्या 38. किन तरंगों को ध्रुवीकृत नहीं किया जा सकता है ?
उत्तर:- ध्वनि तरंगें
9. प्रश्न संख्या 39. आर. एच. फैक्टर नाम का आधार है ?
उत्तर:- रीसस बंदर
10. प्रश्न संख्या 40. एक उपग्रह का उपयोग होता है ?
उत्तर:- संचार, मौसम भविष्यवाणी एवं कृषि वानिकी हेतु
11. प्रश्न संख्या 41. मार्श गैस है ?
उत्तर:- मिथेन
12. प्रश्न संख्या 42. मानव जीनोम का अनुक्रमण सफलतापूर्वक किस वर्ष किया गया ?
उत्तर:- 1995
13. प्रश्न संख्या 43. डीएनए में नहीं पाया जाता ?
उत्तर:- यूरेसिल
14. प्रश्न संख्या 44. 2016 में थॉमस कप जीतने वाला पहला यूरोपीय देश कौन सा है ?
उत्तर:- डेनमार्क
15. प्रश्न संख्या 45. वनों की कटाई पर प्रतिबंध लागने वाला दुनिया का पहला देश कौन सा है ?
उत्तर:- नॉर्वे

SSC Maths Important Questions Answers For All Exam PDF:-