Important DFCCIL Numerical Ability Questions: Download PDF

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Important Questions of DFCCIL Numerical Ability Section

Here are some questions of Numerical Ability along with its correct answers and detailed solutions from the PDF:

1. Walking at 3 km per hour, Pintu reaches his school 5 minutes late. If he walks at 4 km per hour he will be 5minutes early. The distance of Pintu’s school from his house is

1. B. 2 km
   C. 
   D. 5 km

Answer ||| B

Solution ||| Distance of the school from the house

1. 3 किमी प्रति घंटा की चाल से चलते हुए, पिंटू अपने विद्यालय 5 मिनट देरी से पहुंचता है। यदि वह 4 किमी प्रति घंटा की चाल से चलता है तो वह 5 मिनट जल्दी पहुँच जाएगा। पिंटू के विद्यालय की उसके घर से दूरी क्या है?

1. B. 2 किमी

   C. 

   D. 5किमी

Answer ||| B

Solution |||

विद्यालय की घर से दूरी

2. There is an 80% increase in an amount in 4 years at simple interest. What will be the compound interest on Rs. 5000 after 3 years at the same rate of interest?

3640. Rs. 3660
      B. Rs. 3640.40
      C. Rs. 3640
      D. Rs. 3656.25

Answer ||| C

Solution |||

Let the principal sum be P unit.

Simple interest for 4 years = 80% of P = 

We know that,

R = 100/5 = 20% p.a.

Now, we have to find compound interest on Rs. 5000 after 3 years at 20% rate of interest per annum.

A = Rs. 8640

Hence, Compound Interest = A – P = 8640 – 5000 = Rs. 3640

2. साधारण ब्याज पर 4 वर्षों में एक राशि में 80% की वृद्धि होती है। उसी दर पर 3 वर्ष बाद 5000 रुपये पर चक्रवृद्धि ब्याज क्या होगा?

3640. 3660 रुपये
      B. 3640.40 रुपये
      C. 3640 रुपये
      D. 3656.25 रुपये

Answer ||| C

Solution |||

माना कि मूल राशि P इकाई है।

4 वर्ष के लिए साधारण ब्याज = 80% of P = 

हम जानतें हैं कि,

साधारण ब्याज 

R = 100/5 = 20% वार्षिक

अब, हमें 3 वर्ष के बाद 20% प्रति वर्ष की ब्याज दर पर 5000 रुपये का चक्रवृद्धि ब्याज ज्ञात करना होगा।

A = 8640 रुपये

इसलिए, चक्रवृद्धि ब्याज = A – P = 8640 – 5000 = 3640 रुपये

3. A train is moving at a speed of 108 km/h. If the length of the train is 280 meters, then how long will it take to cross the platform 485 meters long?

48. 48.5 sec
    B. 25.5 sec
    C. 29.5 sec
    D. 27.5 sec

Answer ||| B

Solution |||

Given, the speed of the train = 108 km/h =  m/s = 30 m/sec.

Total distance to be covered = Length of the train + Length of the platform = 280 + 485 = 765 m

Therefore, the time taken by the train to cross the platform =  = 25.5 sec.

3. एक ट्रेन 108 किमी / घंटा की गति से चल रही है। यदि ट्रेन की लंबाई 280 मीटर है, तो इसे 485 मीटर लम्बे प्लेटफॉर्म को पार करने में कितना समय लगेगा?

48. 48.5 सेकंड
    B. 25.5 सेकंड
    C. 29.5 सेकंड
    D. 27.5 सेकंड

Answer ||| B

Solution |||

दिया गया है, ट्रेन की गति = 108 किमी/घंटा = मीटर /सेकंड= 30 मीटर /सेकंड

तय की जाने वाली कुल दूरी = ट्रेन की लंबाई + प्लेटफार्म की लंबाई = 280 + 485 = 765 मीटर

इसलिए ट्रेन को प्लेटफॉर्म पार करने में समय लगता है =  = 25.5 सेकंड

4. The monthly incomes of A and B are in the ratio 4 : 7 and the ratio of their savings is 4 : 5. If the income of B is equal to four times the savings of A, then what is the ratio of the expenditures of A and B?

1. 36 : 77
   B. 4 : 9
   C. 2 : 1
   D. 35 : 76

Answer ||| A

Solution |||

Let the income of B be 28x.

Then, the income of A =  = 16x and

Now, the savings of A =  = 7x

The savings of B =  = 

So, the ratio of expenditures of A and B = (16x – 7x) : (28x – (35x/4))

= 9x : 77x/4

= 36 : 77

4. A और B की मासिक आय 4: 7 के अनुपात में है और उनकी बचत का अनुपात 4: 5 है। यदि B की आय A की बचत के चार गुने के बराबर है, तो A और B के व्यय का अनुपात ज्ञात करें।

1. 36 : 77
   B. 4 : 9
   C. 2 : 1
   D. 35 : 76

Answer ||| A

Solution |||

माना B की आय 28x है।

तो, A की आय =  = 16x and

अब, A की बचत =  = 7x

B की बचत =  = 

इसलिए, A और B के व्यय का अनुपात = (16x – 7x) : (28x – (35x/4))

= 9x : 77x/4

= 36 : 77

5. A person gets ₹27 more by selling an article at a profit of 6.5% than selling it at a loss of 7%. The cost price of the article is.

1. ₹200
   B. ₹300
   C. ₹150
   D. ₹250

Answer ||| A

Solution |||

Let the cost price of the article be ₹100x.

Then, selling price in case of 6.5% profit = (100x) + 6.5% = 106.5x

And selling price in case of 7% loss = (100x) – 7% = 93x

Difference between both selling prices = ₹27

106.5x – 93x = 27

13.5x = 27

x =  = 2

Therefore, cost price of article = 2 × 100 = ₹200

5. किसी वस्तु को 7% की हानि पर बेचने के बजाय इसे 6.5% के लाभ पर बेचने से एक व्यक्ति को ₹ 27 अधिक प्राप्त होता है। वस्तु का क्रय मूल्य है:

1. ₹200
   B. ₹300
   C. ₹150
   D. ₹250

Answer ||| A

Solution |||

माना वस्तु का क्रय मूल्य ₹100x है।

तब, 6.5% लाभ के स्थिति में बिक्री मूल्य = (100x) + 6.5% = 106.5x

और 7% हानि के स्थिति में बिक्री मूल्य = (100x) – 7% = 93x

दोनों बिक्री मूल्य के बीच अंतर = ₹27

106.5x – 93x = 27

13.5x = 27

x =  = 2

इसलिए, वस्तु का क्रय मूल्य = 2 × 100 = ₹200

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