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SSC CGL / CHSL / MTS

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Difficulty: All Easy Medium Hard 161–170 of 198

Topics in SSC CGL / CHSL / MTS

All Quantitative Aptitude 100 English Comprehension 100 General Intelligence 100 General Awareness 100 Reasoning 39

Q.161 Medium Quantitative Aptitude

A train travels 360 km in 6 hours. What is its average speed in m/s?

A 12.5 m/s

B 16.67 m/s

C 20 m/s

D 25 m/s

Correct Answer: B. 16.67 m/s

EXPLANATION

Speed = 360/6 = 60 km/h. Convert to m/s: 60 × (5/18) = 300/18 = 16.67 m/s.

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Q.162 Medium Quantitative Aptitude

If the length of a rectangle is increased by 20% and breadth is decreased by 10%, what is the percentage change in area?

A 8% increase

B 10% increase

C 8% decrease

D 12% increase

Correct Answer: A. 8% increase

EXPLANATION

Original area = L × B. New area = 1.2L × 0.9B = 1.08LB. Change = 1.08LB - LB = 0.08LB = 8% increase.

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Q.163 Medium Quantitative Aptitude

Two pipes A and B can fill a tank in 20 hours and 30 hours respectively. If both pipes are opened together with pipe C which empties the tank in 60 hours, how long will it take to fill the tank?

A 12 hours

B 15 hours

C 18 hours

D 20 hours

Correct Answer: B. 15 hours

EXPLANATION

Rate of A = 1/20, Rate of B = 1/30, Rate of C = -1/60. Combined rate = 1/20 + 1/30 - 1/60 = 3/60 + 2/60 - 1/60 = 4/60 = 1/15. Time = 15 hours.

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Q.164 Medium Quantitative Aptitude

If x³ = 729, what is the value of x?

A 7

B 8

C 9

D 10

Correct Answer: C. 9

EXPLANATION

x = ∛729 = 9 (since 9 × 9 × 9 = 729)

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Q.165 Medium Quantitative Aptitude

The average age of 8 people is 35 years. If one person of age 45 leaves the group, what is the new average age?

A 32.14 years

B 33.57 years

C 34.2 years

D 35.5 years

Correct Answer: B. 33.57 years

EXPLANATION

Total age of 8 people = 8 × 35 = 280 years. After removal: total = 280 - 45 = 235. New average = 235/7 = 33.57 years

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Q.166 Medium Quantitative Aptitude

A rectangular field has length 80 m and breadth 60 m. What is the cost of fencing it at Rs. 25 per meter?

A Rs. 6,500

B Rs. 7,000

C Rs. 7,500

D Rs. 8,000

Correct Answer: B. Rs. 7,000

EXPLANATION

Perimeter = 2(80 + 60) = 280 m. Cost = 280 × 25 = Rs. 7,000

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Q.167 Medium Quantitative Aptitude

If (x + 2)² = 36, what is the value of x?

A 4 or -8

B 4 or 6

C 6 or -6

D -4 or 8

Correct Answer: A. 4 or -8

EXPLANATION

Taking square root: x + 2 = ±6. So x = 4 or x = -8

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Q.168 Medium Quantitative Aptitude

The speed of a boat in still water is 12 km/h. If the speed of the current is 3 km/h, what is the speed downstream?

A 14 km/h

B 15 km/h

C 16 km/h

D 18 km/h

Correct Answer: B. 15 km/h

EXPLANATION

Speed downstream = Speed in still water + Speed of current = 12 + 3 = 15 km/h

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Q.169 Medium Quantitative Aptitude

A shopkeeper sells an item at a loss of 12%. If the cost price is Rs. 500, what is the selling price?

A Rs. 425

B Rs. 430

C Rs. 440

D Rs. 450

Correct Answer: C. Rs. 440

EXPLANATION

Selling Price = Cost Price × (1 - Loss%) = 500 × (1 - 0.12) = 500 × 0.88 = Rs. 440

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Q.170 Medium Quantitative Aptitude

What is the compound interest on Rs. 8000 for 1.5 years at 10% per annum, compounded half-yearly?

A Rs. 1,261

B Rs. 1,210

C Rs. 1,240

D Rs. 1,200

Correct Answer: A. Rs. 1,261

EXPLANATION

Rate per half-year = 5%. Number of half-years = 3. Amount = 8000(1.05)³ = 8000 × 1.157625 = 9261. CI = 9261 - 8000 = 1261

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