﻿ SSC - CGL Quantitative Aptitude Solved Question Paper 2016 | Previous Year Papers | Zigya

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Quantitative Aptitude

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# SSCCGL Quantitative Aptitude Solved Question Paper 2016

#### Multiple Choice Questions

53.

The sum of three numbers is 540. The ratio of second to third is 9 : 13 and that of first to third is 2 : 7. The third number is

• 273

• 280

• 250

• 286

A.

273

B : C = 9 : 13  ...(i)
A : C = 2 : 7
or
C : A  = 7 :  2 ...(ii)
From (i) and (ii)
B : C : A = 9 x 7 : 13 x 7 : 13 x 2 = 63 : 91 : 26
Therefore,
Third number 84 Views

54.

An article is sold at a certain price. If it is sold at half of the previous selling price, then there is a loss of The profit after selling the article at the previous selling price is:

• 51%

• 49%

• • B.

49%

Let cost price be Rs. 100/-
and selling be Rs. x /-
According to the question, ∴  Gain percentage 122 Views

51.

15 men can finish a piece of work in 40 days. The days after which 5 men should leave the work so that the work is finished in 45 days altogether is

• 10

• 20

• 30

• 35

C.

30

Let the required number of days be x.
According to the question,
M1W1 = M2W2
15 x 40 = 5 x (x) + 10 x (45)
600 = 5x + 450
5x = 150,   x = 30

94 Views

52.

Cost price of an article is ₹ 200/-. If 20% profit is made after giving 20% discount on marked price, the marked price is

• ₹ 300/-
• ₹ 320/-

• ₹ 420/-

• ₹ 450/-

A.

₹ 300/-

Shortcut Method:  47 Views

59.

If a + b = 3,  then the value of a3 + b3 + 9ab is

• 27

• 9

• 16

• 81

A.

27

a + b = 3
On cubing both sides,
(a + b)3 = (3)3
a3 + b3 + 3ab(a + b) = 27
a3 + b3 + 3ab x 3 = 27
∴  a3 + b3 + 9ab = 7

91 Views

55.

If A's salary is 30% more than that of B, then how much percent is B's salary less than that of A?

• 13.01%

• 13.07%

• 23.07%

• 23.01%

C.

23.07% 126 Views

57.

The rate of simple interest for which ₹ 6,000/- will amount to ₹ 6,900/- in 3 years is

• 5%

• 7%

• 2%

• 4%

A.

5%

₹ (6,900 - 6,000) = 900 for 3 years is the S.I.
⟹  100 SI = PRT
⟹  100 X 900 = 6000 x R x 3
⟹  R = 5% p.a.
85 Views

60.

In a ΔABC,  D and E are points on AC and BC respectively, AB and DE are perpendicular to BC. If AB = 9cm, DE = 3 cm and AC  = 24 cm, then AD is

• 32 cm

• 16 cm

• 8 cm

• 4 cm

B.

16 cm As ΔABC ~ ΔDEC 105 Views

58.

If (a + b)2 = 100 and (a - b) = 4, then ab equals to

• 116

• 84

• 21

• 53

C.

21

(a + b)2 = 100
∴  a + b = 10                   ...(i)
a - b = 4                      ...(ii)
On solving equations (i) and (ii),
2a = 14  ⟹ a = 7,   b = 3
∴  ab = 7 x 3 = 21

50 Views

56.

A man travels for 14 hours 40 min. He covers half of the journey by train at the rate of 60 km/hr and rest half by road at the rate of 50 km/hr. The distance travelled by him is

• 720 km

• 800 km

• 960 km

• 1000 km

B.

800 km

Let total distance  = x km
According to the question,   173 Views