Sample Timed Test (Quantitative)

37 Questions | By Snapgmat | Updated: Mar 18, 2022 | Attempts: 1342

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SECTION - QUANTITATIVE This section has questions from problem solving and data sufficiency. The section contains 37 Questions which are to be completed in 75 minutes.

Questions and Answers

1.

What will be W : Z?(1) W : X : Y = 2 : 9/2 : 5 and X : Y : Z = 18 : 20 : 7(2) W : X = 4 : 9, X : Y = 27 : 30, Y : Z = 60 : 21
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
2.

A person covers 12.8 m in 5 seconds. Every second, he covers a distance which is 1/3 rd of the total distance covered till the end of the previous second. What is the distance covered after first second?
- A.
  
  4.15 m
- B.
  
  6.15 m
- C.
  
  4.4 m
- D.
  
  6.05 m
- E.
  
  4.05 m
3.

A tank is fitted with 2 pipes, pipe A is a filling pipe and pipe B is an emptying pipe. Which pipe has higher efficiency, A or B?(1) When both pipes are open, then it takes 15 hours to fill up the tank.(2) When B is closed, then pipe A takes 5 hours to fill up the tank.
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
4.

Whether [(A^-2a) / (A^-2b)] + [(A^2b) / (A^2a) ] is positive, where a & b are integers?(1) a = b(2) a = -b
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
5.

Workers A, B & C can finish a work in 12, 16 and 10 days respectively. If on first day, A is assisted by B and by C on the next day alternately, on which day the work will be finished?
- A.
  
  6
- B.
  
  7
- C.
  
  8
- D.
  
  9
- E.
  
  10
6.

If X > Y & X < 1 & also XY = 1, then which of the following must be true?
- A.
  
  X > -1 & Y < -1
- B.
  
  X < -1 & Y > -1
- C.
  
  X > 1 & Y < 0
- D.
  
  X > 0 & Y < -1
- E.
  
  X < 0 & Y > 0
7.

On Monday, a shopkeeper sold 12(1/2) kg of flour. On Tuesday, he sold 5/6 kg more flour than on Monday. On Wednesday, he sold 1(1/3) kg of flour less than on Tuesday. He then had 1/3 kg of flour left in his shop. How much kg flour did he have in the beginning?
- A.
  
  38(1/6)
- B.
  
  37(1/3)
- C.
  
  37(1/2)
- D.
  
  38(1/3)
- E.
  
  37(1/6)
8.

A coin is tossed 7 times. Find the probability of getting more heads than tails in all 7 tosses?
- A.
  
  1/2
- B.
  
  63/128
- C.
  
  4/7
- D.
  
  61/256
- E.
  
  63/64
9.

x is a prime number. Find x? 1. 800 < x² < 1000 2. Sum of the digits of x is an odd number.
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient.
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient.
10.

In the diagram, AB passes through O which is the centre of the circle. Which of the following must be true? I. Angles APB and AMB are equal and are right angles II. Sum of sides AP & PB > Twice the radius of the circle III. Sum of sides AM & MB > Twice the radius of the circle
- A.
  
  I Only
- B.
  
  II & III Only
- C.
  
  III Only
- D.
  
  II Only
- E.
  
  I, II & III
11.

Anson has a total of $920 as currency notes in the denominations of $50, $20 and $10 with total notes being 40. What is number of notes of different denominations with Anson? 1. The ratio of notes of denominations $20 and $10 is 2 : 3. 2. The ratio of notes of denominations $50, $20 and $10 is 5 : 6 : 9.
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
12.

If 5p – s = 4q – 11, where p and q are integers and s < 4. What is the minimum value of q for which p > 77 ?
- A.
  
  99
- B.
  
  98
- C.
  
  101
- D.
  
  102
- E.
  
  100
13.

Which of the following is correct?
- A.
  
  (4/7) < [(4+3)/(7-3)] < (3/4)
- B.
  
  (4/7) < [(4-3) / (7-4)] < (3/4)
- C.
  
  (4/7) < [(4x3) / (7x4)] < (3/4)
- D.
  
  (4/7) < [(4+3) / (7+4)] < (3/4)
- E.
  
  (4/7) < [(4/3) / (7/4)] < (3/4)
14.

Area of the rectangle ABCD is 196 square cm and area of triangle BGC is 1/4^th the area of rectangle ABCD. What is the difference in areas of shaded (cross-lined) and unshaded portion in the figure?1. Area of triangle ADE is same as area of triangle CGF.2. The ratio of areas of triangle ADE to triangle BGC is same as the ratio of areas of triangle CGF to triangle BGC.
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
15.

When an item is sold at its original price, then some quantity of that item can be purchased in $100. But when the price of that item is increased by 25%, then 5 pieces less than the earlier quantity can be purchased in the same amount. Find the original price of the item?
- A.
  
  $5
- B.
  
  $4.5
- C.
  
  $4
- D.
  
  $5.5
- E.
  
  $6
16.

If f(x) = x⁴ – x³ + x² – x +1, solve [f(-2) – f(2)] / 2 ?
- A.
  
  10
- B.
  
  -10
- C.
  
  1
- D.
  
  -1
- E.
  
  21
17.

If operation * is such that A * B = A³ + B³, is M * N < 0 ?1. (M/N) < 1 2. -2 < M < 2 and N > 2
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
18.
What is the area of the circle in the figure?
1. Arc AB of length 5 cm subtends an angle of 45 degree at the centre of the circle.
2. Chord MN of length 9 cm subtends an angle of 90 degree at the centre of the circle.
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
19.

If ( */32) x (*/72) = 1, find the value of * ?
- A.
  
  24
- B.
  
  2304
- C.
  
  1152
- D.
  
  48
- E.
  
  52
20.

Is X + Y an odd number, where X & Y are integers? 1. X = Y 2. 0 < X⁵ < 25 and 50 < Y⁵ < 1000
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient
21.

In a class, the boys and girls are in a ratio of 7 : 4. If two boys leave the class and seven new girls join the class, the new ratio becomes 11 : 9. Find the number of girls in the class now?
- A.
  
  27
- B.
  
  37
- C.
  
  47
- D.
  
  24
- E.
  
  34
22.

What is the least value of n such that 1/5ⁿ< 0.001 ?
- A.
  
  3
- B.
  
  4
- C.
  
  5
- D.
  
  6
- E.
  
  2
23.

If 3% of (m + n) is 15, where m & n are positive integers and m is a double digit number. What is the least possible value of n?
- A.
  
  490
- B.
  
  400
- C.
  
  489
- D.
  
  389
- E.
  
  401
24.

If X / Y = 9/7, then find (Y – X) / X?
- A.
  
  2/9
- B.
  
  - 2/9
- C.
  
  - 2/7
- D.
  
  2/7
- E.
  
  1/7
25.

Find the total area of the figure?1. The radius of the circle is 4 cm.2. The ratio of shaded(lined) to unshaded (unlined) parts of the triangle is 1 : 3 and ratio of unshaded (unlined) to shaded (lined) parts of the circle is 2 : 1.
- A.
  
  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B.
  
  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C.
  
  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D.
  
  EACH statement ALONE is sufficient
- E.
  
  Statements (1) and (2) TOGETHER are NOT sufficient