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CGL 22 : 05/12/2022 Shift 3 Previous Year Paper Quantitative Aptitude PDF

Question 1


The lengths (in cm) of three sides of a triangle are, respectively, 48, 55 and 73. What is the length (in cm) of the median joining the mid-point of the longest side to its opposite vertex?

किसी त्रिभुज की तीन भुजाओं की लंबाई (cm में) क्रमशः 48, 55 और 73 है। सबसे लंबी भुजा के मध्य बिंदु को इसके सम्‍मुख शीर्ष से जोड़ने वाली माध्यिका की लंबाई (cm में) कितनी होगी?

Options

A

24

24

B

36.5

36.5

C

73

73

D

27.5

27.5


Solution:

Correct Answer:

B

36.5

36.5


Question 2




Options

A

B

C

D


Solution:

Correct Answer:

A


Question 3


The volume of the hemisphere is 19,404 cm3. The radius of the hemisphere is _______.

एक गोलार्ध का आयतन 19,404 cm3 है। उस गोलार्ध की त्रिज्या _________ है।

Options

A

14 cm 

14 cm 

B

17 cm 

17 cm 

C

21 cm

21 cm

D

19 cm

19 cm


Solution:

Correct Answer:

C

21 cm

21 cm


Question 4


A shopkeeper offers three types of discount schemes for buyers. Which of them has the maximum discount percentage?
I. Two successive discounts of 10% each.
II. Successive discounts of 15% and 5%.
III. 20% discount.

एक दुकानदार खरीदारों के लिए तीन प्रकार की छूट स्‍कीम प्रदान करता है। इनमें से किस स्‍कीम का छूट प्रतिशत सबसे अधिक है?
I. 10% की दो क्रमिक छूट।
II. 15% और 5% की क्रमिक छूट।
III. 20% छूट।

Options

A

Only discount scheme II

Only discount scheme II

B

Only discount scheme I

Only discount scheme I

C

All provide equal discount

All provide equal discount

D

Only discount scheme III

Only discount scheme III


Solution:

Correct Answer:

D

Only discount scheme III

केवल छूट स्‍कीम III


Question 5


Mr. X has a monthly income of $26,500 and his monthly expenditure is $20,500. The next year, his salary is increased by 12% and expenditure is increased by 6%. His savings increase by how much percent?

मिस्टर X की मासिक आय $26,500 है और उनका मासिक व्‍यय $20,500 है। अगले वर्ष, उनकी आय में 12% की वृद्धि होती है और व्यय में 6% की वृद्धि होती है। उसकी बचत में कितने प्रतिशत की वृद्धि होती है?

Options

A

32.5%

32.5%

B

32.0%

32.0%

C

27.3%

27.3%

D

34.7%

34.7%


Solution:

Correct Answer:

A

32.5%

32.5%


Question 6




Options

A

B

C

D


Solution:

Correct Answer:

D


Question 7


40 men can complete a work in 15 days. Three days after they started working, 20 more men joined them. In how many days the total work will be completed?

40 आदमी एक काम को 15 दिनों में पूरा कर सकते हैं। उनके काम शुरू करने के तीन दिन बाद 20 और आदमी उनके साथ जुड़ जाते हैं। यह पूरा काम कितने दिनों में पूरा होगा?

Options

A

13 

13 

B

10 

10 

C

12 

12 

D

11 

11 


Solution:

Correct Answer:

D

11 

11 


Question 8


A person travels from P to Q at a speed of 50 km/h and returns by increasing his speed by 60%. What is his average speed for both the trips?

एक व्यक्ति P से Q तक की यात्रा 50 km/h की चाल से करता है और अपनी चाल में 60% की वृद्धि करते हुए वापस लौटता है। दोनों यात्राओं के लिए उसकी औसत चाल कितनी है?

Options

A

16.53 km/h

16.53 km/h

B

35.61 km/h

35.61 km/h

C

31.56 km/h

31.56 km/h

D

61.53 km/h

61.53 km/h


Solution:

Correct Answer:

D

61.53 km/h

61.53 km/h


Question 9


A businessman cheats by using faulty weights, to the tune of 12% each time, when buying and selling material. What is the rise in his profit percentage using faulty weights only?

एक व्यवसायी सामग्री खरीदते और बेचते समय, हर बार 12% दोषपूर्ण बाटों का उपयोग करके धोखा देता है। केवल दोषपूर्ण बाटों का उपयोग करके उसके लाभ प्रतिशत में कितनी वृद्धि हुई है?

Options

A

22%

22%

B

25.44%

25.44%

C

26.32%

26.32%

D

24%

24%


Solution:

Correct Answer:

B

25.44%

25.44%


Question 10




Options

A

45%

45%

B

80%

80%

C

90%

90%

D

40%

40%


Solution:

Correct Answer:

A

45%

45%


Question 11




Options

A

–281450 

–281450 

B

–281250 

–281250 

C

271250 

271250 

D

281350 

281350 


Solution:

Correct Answer:

B

–281250 

–281250 


Question 12




Options

A

X

X

B

Z

Z

C

Y and Z both

Y and Z both

D

Y

Y


Solution:

Correct Answer:

B

Z

Z


Question 13


Which of the following is NOT a correct statement?

निम्नलिखित में से कौन-सा सही कथन नहीं है?

Options

A

Time may be calculated by dividing the distance by the speed.

Time may be calculated by dividing the distance by the speed.

B

The speed of 99 km/h is less than the speed of 24 m/s.

The speed of 99 km/h is less than the speed of 24 m/s.

C

Covering the same distance in lesser time implies a higher speed.

Covering the same distance in lesser time implies a higher speed.

D

The speed of 20 m/s is less than the speed of 85 km/h.

The speed of 20 m/s is less than the speed of 85 km/h.


Solution:

Correct Answer:

B

The speed of 99 km/h is less than the speed of 24 m/s.

99 km/h की चाल 24 m/s की चाल से कम होती है।


Question 14




Options

A

83

83

B

110

110

C

193

193

D

27

27


Solution:

Correct Answer:

D

27

27


Question 15


If θ is an acute angle and tanθ + cotθ = 2, then the value of tan2θ + cot2 θ + 2 tan5 θcot4 θ is:

यदि θ एक न्‍यून कोण और tanθ + cotθ = 2 है, तो tan2 θ + cot2 θ + 2 tan5 θcot4 θ का मान क्‍या हैॽ

Options

A

1

1

B

3

3

C

4

4

D

2

2


Solution:

Correct Answer:

C

4

4


Question 16


Find the greatest 5-digit number which is divisible by 11, 33, 99 and 121.

5 अंकों की सबसे बड़ी संख्या ज्ञात कीजिए जो 11, 33, 99 और 121 से विभाज्य हो।

Options

A

90909

90909

B

90099

90099

C

99099

99099

D

99990

99990


Solution:

Correct Answer:

C

99099

99099


Question 17


The perimeter of a triangle with sides of integer values is equal to 13. How many such triangles are possible?

पूर्णांक मानों की भुजाओं वाले त्रिभुज का परिमाप 13 के बराबर है। ऐसे कितने त्रिभुज बनना संभव हैं?

Options

A

7

7

B

6

6

C

8

8

D

5

5


Solution:

Correct Answer:

D

5

5


Question 18




Options

A

B

C

D


Solution:

Correct Answer:

D


Question 19


Select the correct algebraic expression.

सही बीजीय व्यंजक का चयन कीजिए।

Options

A

ab – a – b + 1 = (a – 1) (1 – b)

ab – a – b + 1 = (a – 1) (1 – b)

B

ab – a – b + 1 = (a – 1) (b – 1)

ab – a – b + 1 = (a – 1) (b – 1)

C

ab + a – b + 1 = (1 – a) (1 – b) (1 – a) (1 + b)

ab + a – b + 1 = (1 – a) (1 – b) (1 – a) (1 + b)

D

ab – a – b + 1 = (1 – a) (b – 1)

ab – a – b + 1 = (1 – a) (b – 1)


Solution:

Correct Answer:

B

ab – a – b + 1 = (a – 1) (b – 1)

ab – a – b + 1 = (a – 1) (b – 1)


Question 20


A sum of money invested at simple interest becomes 17/10 of itself in 2 years and 6 months. What is the rate of interest per annum?

एक राशि साधारण ब्याज पर निवेश करने पर 2 वर्ष तथा 6 महीने में स्वयं की 17/10 गुना हो जाती है। ब्याज की वार्षिक दर क्या है?

Options

A

16 percent

16 percent

B

34 percent

34 percent

C

22 percent

22 percent

D

28 percent

28 percent


Solution:

Correct Answer:

D

28 percent

28 प्रतिशत


Question 21


The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36. What is the value of A?

12, 24 और 27 का चतुर्थानुपात, A और 36 के तृतीयानुपात के बराबर है। A का मान ज्ञात कीजिए।

Options

A

 24

 24

B

 22

 22

C

 26

 26

D

20

20


Solution:

Correct Answer:

A

 24

 24


Question 22


In a ∆ABC, the internal bisectors of the angle B and the angle C intersect at an angle of 105°. What is the value of the angle A?

एक ∆ABC में कोण B और कोण C के आंतरिक समद्विभाजक 105° के कोण पर प्रतिच्छेद करते हैं। कोण A का मान क्या है?

Options

A

75°

75°

B

30°

30°

C

52.5°

52.5°

D

15°

15°


Solution:

Correct Answer:

B

30°

30°


Question 23


A hollow sphere has an outer radius of 4 cm and inner radius of 1 cm. What is the volume of this hollow sphere?

A hollow sphere has an outer radius of 4 cm and inner radius of 1 cm. What is the volume of this hollow sphere?

Options

A

48p cm3

48p cm3

B

84p cm3

84p cm3

C

68p cm3

68p cm3

D

92p cm3

92p cm3


Solution:

Correct Answer:

B

84p cm3

84p cm3


Question 24


What is the smallest number that should be added to 4567 so that the sum is divisible by 7?

4567 में वह छोटी से छोटी कौन-सी संख्या जोड़ी जाए कि योगफल 7 से विभाज्य हो?

Options

A

4

4

B

7

7

C

6

6

D

5

5


Solution:

Correct Answer:

A

4

4


Question 25


What is the value of ?

का मान क्या है?

Options

A

5050

5050

B

4995

4995

C

4985

4985

D

4950

4950


Solution:

Correct Answer:

B

4995

4995


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