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

## Subject

Quantitative Aptitude

## Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

## Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

# SSCCGL Quantitative Aptitude Solved Question Paper 2016

#### Multiple Choice Questions

3.

A number when divided by the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder. The number is

• 220030

• 22030

• 1220

• 1250

A.

220030

Divisor = 555 + 445 = 1000
Remainder  = 30 (given)
Quotient  = (555 - 445) x 2
= 110 x 2 = 220
Dividend  = (Divisor x Quotient) + Remainder
= 1000 x 220 + 30 = 220030

424 Views

2.

The numerator of a fraction is multiple of two numbers. One of the numbers is greater than the other by 2. The greater number is smaller than the denominator by 4. If the denominator 7+C (C > -7) is a constant, then the minimum value of the fraction is

• 5

• • -5

• D. Let the first number be x.
then, second number would be (x+2).
According to the question,
x + 2 + 4 = 7 + c
⟹   x + 6 = 7 + c
⟹   x  = 1 + c
∴   Fraction For the minimum value,
- 3 < c < -1
∴   c = -2
∴  Required value of fraction = -1/5

1245 Views

5.

On dividing a certain number by 342 we get 47 as remainder. If the same number is divided by 18, what will be the remainder?

• 15

• 11

• 17

• 13

B.

11

Shortcut Method:
Required remainder  = Required remainder on dividing 47 by 18 = 11

385 Views

10.

Simplify; • • • • B.    324 Views

4.

When a number x is divided by a divisor it is seen that the divisor = 4 times the quotient = double the remainder. If the remainder is 80 then the value of x is

• 6480

• 9680

• 8460

• 4680

A.

6480

Divisor = 2 x remainder
= 2 x 80 = 160
Again,
4 x Quotient = 160
⟹   Quotient  = 160 / 4 = 40
∴  x (Dividend)  = Divisior x Quotient  + Remainder
= 160 x 40 + 80 = 6480

454 Views

8.

The sum of three numbers is 2, the 1st number is 1/2 times the 2nd number and the 3rd number is 1/4 times the 2nd number. The 2nd number is

• 7/6

• 8/7

• 9/8

• 10/9

B.

8/7

Let the second number be x.
∴  First number = x/2
Third number  =  x/4
∴     x + x/2  + x/4 = 2
⟹   (4x + 2x + x)/4 = 2
⟹  7x = 8 ⟹ x = 8/7

240 Views

9.

Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is

• 17

• 15

• 13

• 10

C.

13

Let three numbers in A.P. be a - d,  a and a + d respectively.
According to the question,
(a - d) + (a) + (a + d)  = 30
⇒   3a = 30 ⇒  a = 30/3 = 10
Again, a (a - d) (a + d) = 910
⇒  10 (10 - d) (10 + d) = 910
⇒  100 - d2 = 91
⇒  d2 = 100 - 91 = 9
⇒ ∴  Largest number = a + d  = 10 + 3 = 13

706 Views

6.

The sum of three numbers is 252. If the first number is thrice and the second and third number is two-third of the first, then the second number is

• 41

• 21

• 42

• 84

C.

42

Let second number = x
∴    First number = 3x
Third number = (2/3). (3x) = 2x
According to the question,
3x + x + 2x = 252
⟹                   6x = 252
⟹                     x = (252/6) = 42

314 Views

1.

Each member of a club contributes as much rupees and as much paise as the number of members of the club. If the total contribution is Rs. 2525, then the number of members of the club is

• 60

• 45

• 55

• 50

D.

50

Let Number of members in the club  = x
According to the question,  2701 Views

7.

The sum of three numbers is 252. If the first number is thrice the second and third number is two-third of the first, then the second number is

• 255

• 260

• 265

• 270

A.

255

Let the positive numbers be x, y and z (respectively).
∴    x2 + y2 + z2 = 323                     ...(i)
and,   x2 + y2 = 2z                          ...(ii)
∴    z2 + 2z = 323
⟹   z2 + 2z - 323 = 0
⟹   z2 + 19z - 17z - 323 = 0
⟹   z (z + 19) - 17 (z + 19) = 0
⟹     (z - 17) (z + 19) = 0
⟹      z = 17 because z ≠ - 19
∴     x2 + y2 = 2 x 17 = 34 = 32 + 52
∴      xyz = 3 x 5 x 17 = 255

302 Views