Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of √2 Sec 45 - Tan 30?

A) (2√3 - 1)/3 B) (√3 - 1)/√3
C) (2√3 - 1)/√3 D) (√3 - 1)/3
 
Answer & Explanation Answer: C) (2√3 - 1)/√3

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Q:

In ABC, ∠A = 90°, AD  BC and AD = BD = 2 cm. The length of CD is

A) 3 cm B) 3.5 cm
C) 3.2 cm D) 2 cm
 
Answer & Explanation Answer: B) 3.5 cm

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Q:

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

A) 36° B) 72°
C) 108° D) 144°
 
Answer & Explanation Answer: C) 108°

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Q:

Raghuram sells a machine for Rs 43 lakhs at a loss. Had he sold it for Rs 53 lakh, his gain would have been 7 times the former loss. Find the cost price of the machine.

A) Rs 51.75 lakhs B) Rs 59.14 lakhs
C) Rs 36.75 lakhs D) Rs 44.25 lakhs
 
Answer & Explanation Answer: D) Rs 44.25 lakhs

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Q:

In ΔPQR, S and T are points on side PQ and PR respectively. ST is parallel to QR. If lengths of PS, SQ and PR are 6 cm, 9 cm and 12.5 cm respectively, what is the length of TR?

A) 7.5 cm B) 5 cm
C) 10 cm D) 2.5 cm
 
Answer & Explanation Answer: A) 7.5 cm

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Q:

In a class of 56 students there are 28 girls. The average weight of these girls is 46 kg and average weight of the full class is 51 kgs. What is the average weight of the boys of the class?

A) 55 B) 56
C) 53 D) 54
 
Answer & Explanation Answer: B) 56

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Q:

Coefficient of x2 in (x + 9)(6 - 4x)(4x - 7) is

A) 216 B) -4
C) -92 D) 108
 
Answer & Explanation Answer: C) -92

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Q:

In the given figure, AB is a diameter of the circle with center O and XY is the tangent at a point C. If ACX = 35 deg, then what is the value (in deg) of CAB?

A) 45 B) 35
C) 55 D) 65
 
Answer & Explanation Answer: C) 55

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